[ { "id": "mean-hard-000-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8300 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8300 is 21 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8300 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: mean-of(H8300) = 21 degC.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "above_most", "family": "one_high_outlier", "frame_cluster": 0, "target_ref": "H8300", "reported_value": "21", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-000-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8300 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: The median of every numeric observation in the exact finite population H8300 is 1 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8300 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: median-of(H8300) = 1 degC.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "above_most", "family": "one_high_outlier", "frame_cluster": 0, "target_ref": "H8300", "reported_value": "1", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-001-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8301 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8301 is 3 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8301 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: mean-of(H8301) = 3 degC.", "question": "Does any listed observation actually equal the reported number?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "observed_centre", "family": "equal_centres_skew_cue", "frame_cluster": 1, "target_ref": "H8301", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-001-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8301 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: The median of every numeric observation in the exact finite population H8301 is 3 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8301 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: median-of(H8301) = 3 degC.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "observed_centre", "family": "equal_centres_skew_cue", "frame_cluster": 1, "target_ref": "H8301", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-002-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8302 (degC; 2026-09-04T13:00/14:00Z): observations 1, 2, 8, 9.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8302 is 5 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8302 (degC; 2026-09-04T13:00/14:00Z): observations 1, 2, 8, 9.\nReport: mean-of(H8302) = 5 degC.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "sample_scope", "family": "even_unobserved_median", "frame_cluster": 2, "target_ref": "H8302", "reported_value": "5", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-002-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8302 (degC; 2026-09-04T13:00/14:00Z): observations 1, 2, 8, 9.\nReport: The median of every numeric observation in the exact finite population H8302 is 5 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8302 (degC; 2026-09-04T13:00/14:00Z): observations 1, 2, 8, 9.\nReport: median-of(H8302) = 5 degC.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "sample_scope", "family": "even_unobserved_median", "frame_cluster": 2, "target_ref": "H8302", "reported_value": "5", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-003-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8303 (degC; 2026-09-04T13:00/14:00Z): observations -9, 3, 3, 8. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8303 is 1.25 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8303 (degC; 2026-09-04T13:00/14:00Z): observations -9, 3, 3, 8. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8303) = 1.25 degC.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "exclusion_change", "family": "duplicate_middle", "frame_cluster": 3, "target_ref": "H8303", "reported_value": "1.25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-003-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8303 (degC; 2026-09-04T13:00/14:00Z): observations -9, 3, 3, 8. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8303 is 3 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8303 (degC; 2026-09-04T13:00/14:00Z): observations -9, 3, 3, 8. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8303) = 3 degC.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "exclusion_change", "family": "duplicate_middle", "frame_cluster": 3, "target_ref": "H8303", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-004-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8304 (degC; 2026-09-04T13:00/14:00Z): observations -13, -8, -5, -2, 3. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8304 is -5 degC.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8304 (degC; 2026-09-04T13:00/14:00Z): observations -13, -8, -5, -2, 3. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8304) = -5 degC.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "weighted", "family": "negative_values", "frame_cluster": 4, "target_ref": "H8304", "reported_value": "-5", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-004-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8304 (degC; 2026-09-04T13:00/14:00Z): observations -13, -8, -5, -2, 3. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8304 is -5 degC.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8304 (degC; 2026-09-04T13:00/14:00Z): observations -13, -8, -5, -2, 3. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8304) = -5 degC.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "weighted", "family": "negative_values", "frame_cluster": 4, "target_ref": "H8304", "reported_value": "-5", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-005-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8305 (degC; 2026-09-04T13:00/14:00Z): observations -5, -2, 0, 2, 5. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8305 is 0 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8305 (degC; 2026-09-04T13:00/14:00Z): observations -5, -2, 0, 2, 5. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8305) = 0 degC.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "approximate", "family": "symmetric_odd", "frame_cluster": 5, "target_ref": "H8305", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-005-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8305 (degC; 2026-09-04T13:00/14:00Z): observations -5, -2, 0, 2, 5. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8305 is 0 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8305 (degC; 2026-09-04T13:00/14:00Z): observations -5, -2, 0, 2, 5. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8305) = 0 degC.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "approximate", "family": "symmetric_odd", "frame_cluster": 5, "target_ref": "H8305", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-006-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8306 is 0 degC.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8306) = 0 degC.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "categorical", "family": "symmetric_even", "frame_cluster": 6, "target_ref": "H8306", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-006-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8306 is 0 degC.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8306) = 0 degC.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "categorical", "family": "symmetric_even", "frame_cluster": 6, "target_ref": "H8306", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-007-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8307 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 4, 4, 20.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8307 is 6 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8307 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 4, 4, 20.\nReport: mean-of(H8307) = 6 degC.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "uncertainty", "family": "two_tied_modes", "frame_cluster": 7, "target_ref": "H8307", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-007-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8307 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 4, 4, 20.\nReport: The median of every numeric observation in the exact finite population H8307 is 4 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8307 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 4, 4, 20.\nReport: median-of(H8307) = 4 degC.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "uncertainty", "family": "two_tied_modes", "frame_cluster": 7, "target_ref": "H8307", "reported_value": "4", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-008-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8308 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8308 is 21 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8308 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: mean-of(H8308) = 21 degC.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "causation", "family": "one_high_outlier", "frame_cluster": 8, "target_ref": "H8308", "reported_value": "21", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-008-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8308 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: The median of every numeric observation in the exact finite population H8308 is 1 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8308 (degC; 2026-09-04T13:00/14:00Z): observations 1, 1, 1, 1, 101.\nReport: median-of(H8308) = 1 degC.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "causation", "family": "one_high_outlier", "frame_cluster": 8, "target_ref": "H8308", "reported_value": "1", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-009-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8309 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8309 is 3 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8309 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: mean-of(H8309) = 3 degC.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "temperature offset", "probe": "exact_recheck", "family": "equal_centres_skew_cue", "frame_cluster": 9, "target_ref": "H8309", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-009-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8309 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: The median of every numeric observation in the exact finite population H8309 is 3 degC.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8309 (degC; 2026-09-04T13:00/14:00Z): observations 0, 2, 3, 3, 7.\nReport: median-of(H8309) = 3 degC.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "temperature offset", "probe": "exact_recheck", "family": "equal_centres_skew_cue", "frame_cluster": 9, "target_ref": "H8309", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-010-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8310 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8310 is 6 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8310 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: mean-of(H8310) = 6 GBP.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "above_most", "family": "equal_centres_skew_cue", "frame_cluster": 10, "target_ref": "H8310", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-010-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8310 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: The median of every numeric observation in the exact finite population H8310 is 6 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8310 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: median-of(H8310) = 6 GBP.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "above_most", "family": "equal_centres_skew_cue", "frame_cluster": 10, "target_ref": "H8310", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-011-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8311 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8311 is 10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8311 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: mean-of(H8311) = 10 GBP.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "observed_centre", "family": "even_unobserved_median", "frame_cluster": 11, "target_ref": "H8311", "reported_value": "10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-011-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8311 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: The median of every numeric observation in the exact finite population H8311 is 10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8311 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: median-of(H8311) = 10 GBP.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "observed_centre", "family": "even_unobserved_median", "frame_cluster": 11, "target_ref": "H8311", "reported_value": "10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-012-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8312 (GBP; 2026-09-04T13:00/14:00Z): observations -18, 6, 6, 16.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8312 is 2.5 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8312 (GBP; 2026-09-04T13:00/14:00Z): observations -18, 6, 6, 16.\nReport: mean-of(H8312) = 2.5 GBP.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "sample_scope", "family": "duplicate_middle", "frame_cluster": 12, "target_ref": "H8312", "reported_value": "2.5", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-012-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8312 (GBP; 2026-09-04T13:00/14:00Z): observations -18, 6, 6, 16.\nReport: The median of every numeric observation in the exact finite population H8312 is 6 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8312 (GBP; 2026-09-04T13:00/14:00Z): observations -18, 6, 6, 16.\nReport: median-of(H8312) = 6 GBP.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "sample_scope", "family": "duplicate_middle", "frame_cluster": 12, "target_ref": "H8312", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-013-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8313 (GBP; 2026-09-04T13:00/14:00Z): observations -26, -16, -10, -4, 6. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8313 is -10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8313 (GBP; 2026-09-04T13:00/14:00Z): observations -26, -16, -10, -4, 6. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8313) = -10 GBP.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "exclusion_change", "family": "negative_values", "frame_cluster": 13, "target_ref": "H8313", "reported_value": "-10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-013-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8313 (GBP; 2026-09-04T13:00/14:00Z): observations -26, -16, -10, -4, 6. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8313 is -10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8313 (GBP; 2026-09-04T13:00/14:00Z): observations -26, -16, -10, -4, 6. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8313) = -10 GBP.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "exclusion_change", "family": "negative_values", "frame_cluster": 13, "target_ref": "H8313", "reported_value": "-10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-014-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8314 (GBP; 2026-09-04T13:00/14:00Z): observations -10, -4, 0, 4, 10. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8314 is 0 GBP.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8314 (GBP; 2026-09-04T13:00/14:00Z): observations -10, -4, 0, 4, 10. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8314) = 0 GBP.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "weighted", "family": "symmetric_odd", "frame_cluster": 14, "target_ref": "H8314", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-014-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8314 (GBP; 2026-09-04T13:00/14:00Z): observations -10, -4, 0, 4, 10. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8314 is 0 GBP.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8314 (GBP; 2026-09-04T13:00/14:00Z): observations -10, -4, 0, 4, 10. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8314) = 0 GBP.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "weighted", "family": "symmetric_odd", "frame_cluster": 14, "target_ref": "H8314", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-015-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8315 (GBP; 2026-09-04T13:00/14:00Z): observations -8, -2, 2, 8. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8315 is 0 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8315 (GBP; 2026-09-04T13:00/14:00Z): observations -8, -2, 2, 8. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8315) = 0 GBP.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "approximate", "family": "symmetric_even", "frame_cluster": 15, "target_ref": "H8315", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-015-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8315 (GBP; 2026-09-04T13:00/14:00Z): observations -8, -2, 2, 8. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8315 is 0 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8315 (GBP; 2026-09-04T13:00/14:00Z): observations -8, -2, 2, 8. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8315) = 0 GBP.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "approximate", "family": "symmetric_even", "frame_cluster": 15, "target_ref": "H8315", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-016-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8316 is 12 GBP.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8316) = 12 GBP.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "categorical", "family": "two_tied_modes", "frame_cluster": 16, "target_ref": "H8316", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-016-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8316 is 8 GBP.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8316) = 8 GBP.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "categorical", "family": "two_tied_modes", "frame_cluster": 16, "target_ref": "H8316", "reported_value": "8", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-017-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8317 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 2, 2, 2, 202.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8317 is 42 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8317 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 2, 2, 2, 202.\nReport: mean-of(H8317) = 42 GBP.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "uncertainty", "family": "one_high_outlier", "frame_cluster": 17, "target_ref": "H8317", "reported_value": "42", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-017-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8317 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 2, 2, 2, 202.\nReport: The median of every numeric observation in the exact finite population H8317 is 2 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8317 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 2, 2, 2, 202.\nReport: median-of(H8317) = 2 GBP.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "uncertainty", "family": "one_high_outlier", "frame_cluster": 17, "target_ref": "H8317", "reported_value": "2", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-018-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8318 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8318 is 6 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8318 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: mean-of(H8318) = 6 GBP.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "causation", "family": "equal_centres_skew_cue", "frame_cluster": 18, "target_ref": "H8318", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-018-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8318 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: The median of every numeric observation in the exact finite population H8318 is 6 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8318 (GBP; 2026-09-04T13:00/14:00Z): observations 0, 4, 6, 6, 14.\nReport: median-of(H8318) = 6 GBP.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "causation", "family": "equal_centres_skew_cue", "frame_cluster": 18, "target_ref": "H8318", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-019-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8319 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8319 is 10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8319 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: mean-of(H8319) = 10 GBP.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "payment adjustment", "probe": "exact_recheck", "family": "even_unobserved_median", "frame_cluster": 19, "target_ref": "H8319", "reported_value": "10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-019-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8319 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: The median of every numeric observation in the exact finite population H8319 is 10 GBP.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8319 (GBP; 2026-09-04T13:00/14:00Z): observations 2, 4, 16, 18.\nReport: median-of(H8319) = 10 GBP.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "payment adjustment", "probe": "exact_recheck", "family": "even_unobserved_median", "frame_cluster": 19, "target_ref": "H8319", "reported_value": "10", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-020-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8320 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8320 is 15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8320 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: mean-of(H8320) = 15 EUR.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "above_most", "family": "even_unobserved_median", "frame_cluster": 20, "target_ref": "H8320", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-020-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8320 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: The median of every numeric observation in the exact finite population H8320 is 15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8320 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: median-of(H8320) = 15 EUR.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "above_most", "family": "even_unobserved_median", "frame_cluster": 20, "target_ref": "H8320", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-021-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8321 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8321 is 3.75 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8321 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: mean-of(H8321) = 3.75 EUR.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "observed_centre", "family": "duplicate_middle", "frame_cluster": 21, "target_ref": "H8321", "reported_value": "3.75", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-021-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8321 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: The median of every numeric observation in the exact finite population H8321 is 9 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8321 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: median-of(H8321) = 9 EUR.", "question": "Does any listed observation actually equal the reported number?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "observed_centre", "family": "duplicate_middle", "frame_cluster": 21, "target_ref": "H8321", "reported_value": "9", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-022-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8322 (EUR; 2026-09-04T13:00/14:00Z): observations -39, -24, -15, -6, 9.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8322 is -15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8322 (EUR; 2026-09-04T13:00/14:00Z): observations -39, -24, -15, -6, 9.\nReport: mean-of(H8322) = -15 EUR.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "sample_scope", "family": "negative_values", "frame_cluster": 22, "target_ref": "H8322", "reported_value": "-15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-022-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8322 (EUR; 2026-09-04T13:00/14:00Z): observations -39, -24, -15, -6, 9.\nReport: The median of every numeric observation in the exact finite population H8322 is -15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8322 (EUR; 2026-09-04T13:00/14:00Z): observations -39, -24, -15, -6, 9.\nReport: median-of(H8322) = -15 EUR.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "sample_scope", "family": "negative_values", "frame_cluster": 22, "target_ref": "H8322", "reported_value": "-15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-023-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8323 (EUR; 2026-09-04T13:00/14:00Z): observations -15, -6, 0, 6, 15. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8323 is 0 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8323 (EUR; 2026-09-04T13:00/14:00Z): observations -15, -6, 0, 6, 15. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8323) = 0 EUR.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "exclusion_change", "family": "symmetric_odd", "frame_cluster": 23, "target_ref": "H8323", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-023-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8323 (EUR; 2026-09-04T13:00/14:00Z): observations -15, -6, 0, 6, 15. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8323 is 0 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8323 (EUR; 2026-09-04T13:00/14:00Z): observations -15, -6, 0, 6, 15. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8323) = 0 EUR.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "exclusion_change", "family": "symmetric_odd", "frame_cluster": 23, "target_ref": "H8323", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-024-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8324 (EUR; 2026-09-04T13:00/14:00Z): observations -12, -3, 3, 12. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8324 is 0 EUR.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8324 (EUR; 2026-09-04T13:00/14:00Z): observations -12, -3, 3, 12. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8324) = 0 EUR.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "weighted", "family": "symmetric_even", "frame_cluster": 24, "target_ref": "H8324", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-024-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8324 (EUR; 2026-09-04T13:00/14:00Z): observations -12, -3, 3, 12. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8324 is 0 EUR.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8324 (EUR; 2026-09-04T13:00/14:00Z): observations -12, -3, 3, 12. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8324) = 0 EUR.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "weighted", "family": "symmetric_even", "frame_cluster": 24, "target_ref": "H8324", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-025-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8325 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 3, 12, 12, 60. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8325 is 18 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8325 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 3, 12, 12, 60. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8325) = 18 EUR.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "approximate", "family": "two_tied_modes", "frame_cluster": 25, "target_ref": "H8325", "reported_value": "18", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-025-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8325 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 3, 12, 12, 60. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8325 is 12 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8325 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 3, 12, 12, 60. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8325) = 12 EUR.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "approximate", "family": "two_tied_modes", "frame_cluster": 25, "target_ref": "H8325", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-026-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8326 is 63 EUR.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8326) = 63 EUR.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "categorical", "family": "one_high_outlier", "frame_cluster": 26, "target_ref": "H8326", "reported_value": "63", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-026-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8326 is 3 EUR.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8326) = 3 EUR.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "categorical", "family": "one_high_outlier", "frame_cluster": 26, "target_ref": "H8326", "reported_value": "3", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-027-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8327 (EUR; 2026-09-04T13:00/14:00Z): observations 0, 6, 9, 9, 21.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8327 is 9 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8327 (EUR; 2026-09-04T13:00/14:00Z): observations 0, 6, 9, 9, 21.\nReport: mean-of(H8327) = 9 EUR.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "uncertainty", "family": "equal_centres_skew_cue", "frame_cluster": 27, "target_ref": "H8327", "reported_value": "9", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-027-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8327 (EUR; 2026-09-04T13:00/14:00Z): observations 0, 6, 9, 9, 21.\nReport: The median of every numeric observation in the exact finite population H8327 is 9 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8327 (EUR; 2026-09-04T13:00/14:00Z): observations 0, 6, 9, 9, 21.\nReport: median-of(H8327) = 9 EUR.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "uncertainty", "family": "equal_centres_skew_cue", "frame_cluster": 27, "target_ref": "H8327", "reported_value": "9", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-028-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8328 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8328 is 15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8328 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: mean-of(H8328) = 15 EUR.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "causation", "family": "even_unobserved_median", "frame_cluster": 28, "target_ref": "H8328", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-028-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8328 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: The median of every numeric observation in the exact finite population H8328 is 15 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8328 (EUR; 2026-09-04T13:00/14:00Z): observations 3, 6, 24, 27.\nReport: median-of(H8328) = 15 EUR.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "causation", "family": "even_unobserved_median", "frame_cluster": 28, "target_ref": "H8328", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-029-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8329 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8329 is 3.75 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8329 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: mean-of(H8329) = 3.75 EUR.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "balance change", "probe": "exact_recheck", "family": "duplicate_middle", "frame_cluster": 29, "target_ref": "H8329", "reported_value": "3.75", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-029-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8329 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: The median of every numeric observation in the exact finite population H8329 is 9 EUR.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8329 (EUR; 2026-09-04T13:00/14:00Z): observations -27, 9, 9, 24.\nReport: median-of(H8329) = 9 EUR.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "balance change", "probe": "exact_recheck", "family": "duplicate_middle", "frame_cluster": 29, "target_ref": "H8329", "reported_value": "9", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-030-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8330 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8330 is 5 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8330 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: mean-of(H8330) = 5 minutes.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "above_most", "family": "duplicate_middle", "frame_cluster": 30, "target_ref": "H8330", "reported_value": "5", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-030-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8330 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: The median of every numeric observation in the exact finite population H8330 is 12 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8330 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: median-of(H8330) = 12 minutes.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "above_most", "family": "duplicate_middle", "frame_cluster": 30, "target_ref": "H8330", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-031-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8331 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8331 is -20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8331 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: mean-of(H8331) = -20 minutes.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "observed_centre", "family": "negative_values", "frame_cluster": 31, "target_ref": "H8331", "reported_value": "-20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-031-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8331 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: The median of every numeric observation in the exact finite population H8331 is -20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8331 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: median-of(H8331) = -20 minutes.", "question": "Does any listed observation actually equal the reported number?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "observed_centre", "family": "negative_values", "frame_cluster": 31, "target_ref": "H8331", "reported_value": "-20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-032-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8332 (minutes; 2026-09-04T13:00/14:00Z): observations -20, -8, 0, 8, 20.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8332 is 0 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8332 (minutes; 2026-09-04T13:00/14:00Z): observations -20, -8, 0, 8, 20.\nReport: mean-of(H8332) = 0 minutes.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "sample_scope", "family": "symmetric_odd", "frame_cluster": 32, "target_ref": "H8332", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-032-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8332 (minutes; 2026-09-04T13:00/14:00Z): observations -20, -8, 0, 8, 20.\nReport: The median of every numeric observation in the exact finite population H8332 is 0 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8332 (minutes; 2026-09-04T13:00/14:00Z): observations -20, -8, 0, 8, 20.\nReport: median-of(H8332) = 0 minutes.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "sample_scope", "family": "symmetric_odd", "frame_cluster": 32, "target_ref": "H8332", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-033-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8333 (minutes; 2026-09-04T13:00/14:00Z): observations -16, -4, 4, 16. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8333 is 0 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8333 (minutes; 2026-09-04T13:00/14:00Z): observations -16, -4, 4, 16. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8333) = 0 minutes.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "exclusion_change", "family": "symmetric_even", "frame_cluster": 33, "target_ref": "H8333", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-033-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8333 (minutes; 2026-09-04T13:00/14:00Z): observations -16, -4, 4, 16. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8333 is 0 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8333 (minutes; 2026-09-04T13:00/14:00Z): observations -16, -4, 4, 16. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8333) = 0 minutes.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "exclusion_change", "family": "symmetric_even", "frame_cluster": 33, "target_ref": "H8333", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-034-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8334 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 16, 16, 80. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8334 is 24 minutes.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8334 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 16, 16, 80. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8334) = 24 minutes.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "weighted", "family": "two_tied_modes", "frame_cluster": 34, "target_ref": "H8334", "reported_value": "24", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-034-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8334 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 16, 16, 80. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8334 is 16 minutes.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8334 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 16, 16, 80. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8334) = 16 minutes.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "weighted", "family": "two_tied_modes", "frame_cluster": 34, "target_ref": "H8334", "reported_value": "16", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-035-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8335 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 4, 4, 404. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8335 is 84 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8335 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 4, 4, 404. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8335) = 84 minutes.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "approximate", "family": "one_high_outlier", "frame_cluster": 35, "target_ref": "H8335", "reported_value": "84", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-035-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8335 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 4, 4, 404. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8335 is 4 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8335 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 4, 4, 4, 404. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8335) = 4 minutes.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "approximate", "family": "one_high_outlier", "frame_cluster": 35, "target_ref": "H8335", "reported_value": "4", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-036-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8336 is 12 minutes.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8336) = 12 minutes.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "categorical", "family": "equal_centres_skew_cue", "frame_cluster": 36, "target_ref": "H8336", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-036-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8336 is 12 minutes.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8336) = 12 minutes.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "categorical", "family": "equal_centres_skew_cue", "frame_cluster": 36, "target_ref": "H8336", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-037-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8337 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 8, 32, 36.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8337 is 20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8337 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 8, 32, 36.\nReport: mean-of(H8337) = 20 minutes.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "uncertainty", "family": "even_unobserved_median", "frame_cluster": 37, "target_ref": "H8337", "reported_value": "20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-037-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8337 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 8, 32, 36.\nReport: The median of every numeric observation in the exact finite population H8337 is 20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8337 (minutes; 2026-09-04T13:00/14:00Z): observations 4, 8, 32, 36.\nReport: median-of(H8337) = 20 minutes.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "uncertainty", "family": "even_unobserved_median", "frame_cluster": 37, "target_ref": "H8337", "reported_value": "20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-038-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8338 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8338 is 5 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8338 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: mean-of(H8338) = 5 minutes.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "causation", "family": "duplicate_middle", "frame_cluster": 38, "target_ref": "H8338", "reported_value": "5", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-038-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8338 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: The median of every numeric observation in the exact finite population H8338 is 12 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8338 (minutes; 2026-09-04T13:00/14:00Z): observations -36, 12, 12, 32.\nReport: median-of(H8338) = 12 minutes.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "causation", "family": "duplicate_middle", "frame_cluster": 38, "target_ref": "H8338", "reported_value": "12", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-039-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8339 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8339 is -20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8339 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: mean-of(H8339) = -20 minutes.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "schedule shift", "probe": "exact_recheck", "family": "negative_values", "frame_cluster": 39, "target_ref": "H8339", "reported_value": "-20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-039-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8339 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: The median of every numeric observation in the exact finite population H8339 is -20 minutes.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8339 (minutes; 2026-09-04T13:00/14:00Z): observations -52, -32, -20, -8, 12.\nReport: median-of(H8339) = -20 minutes.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "schedule shift", "probe": "exact_recheck", "family": "negative_values", "frame_cluster": 39, "target_ref": "H8339", "reported_value": "-20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-040-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8340 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8340 is -25 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8340 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: mean-of(H8340) = -25 kWh.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "above_most", "family": "negative_values", "frame_cluster": 40, "target_ref": "H8340", "reported_value": "-25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-040-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8340 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: The median of every numeric observation in the exact finite population H8340 is -25 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8340 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: median-of(H8340) = -25 kWh.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "above_most", "family": "negative_values", "frame_cluster": 40, "target_ref": "H8340", "reported_value": "-25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-041-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8341 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8341 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8341 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: mean-of(H8341) = 0 kWh.", "question": "Does any listed observation actually equal the reported number?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "observed_centre", "family": "symmetric_odd", "frame_cluster": 41, "target_ref": "H8341", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-041-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8341 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: The median of every numeric observation in the exact finite population H8341 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8341 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: median-of(H8341) = 0 kWh.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "observed_centre", "family": "symmetric_odd", "frame_cluster": 41, "target_ref": "H8341", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-042-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8342 (kWh; 2026-09-04T13:00/14:00Z): observations -20, -5, 5, 20.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8342 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8342 (kWh; 2026-09-04T13:00/14:00Z): observations -20, -5, 5, 20.\nReport: mean-of(H8342) = 0 kWh.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "sample_scope", "family": "symmetric_even", "frame_cluster": 42, "target_ref": "H8342", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-042-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8342 (kWh; 2026-09-04T13:00/14:00Z): observations -20, -5, 5, 20.\nReport: The median of every numeric observation in the exact finite population H8342 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8342 (kWh; 2026-09-04T13:00/14:00Z): observations -20, -5, 5, 20.\nReport: median-of(H8342) = 0 kWh.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "sample_scope", "family": "symmetric_even", "frame_cluster": 42, "target_ref": "H8342", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-043-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8343 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 20, 20, 100. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8343 is 30 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8343 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 20, 20, 100. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8343) = 30 kWh.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "exclusion_change", "family": "two_tied_modes", "frame_cluster": 43, "target_ref": "H8343", "reported_value": "30", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-043-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8343 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 20, 20, 100. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8343 is 20 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8343 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 20, 20, 100. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8343) = 20 kWh.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "exclusion_change", "family": "two_tied_modes", "frame_cluster": 43, "target_ref": "H8343", "reported_value": "20", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-044-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8344 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 5, 5, 505. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8344 is 105 kWh.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8344 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 5, 5, 505. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8344) = 105 kWh.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "weighted", "family": "one_high_outlier", "frame_cluster": 44, "target_ref": "H8344", "reported_value": "105", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-044-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8344 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 5, 5, 505. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8344 is 5 kWh.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8344 (kWh; 2026-09-04T13:00/14:00Z): observations 5, 5, 5, 5, 505. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8344) = 5 kWh.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "weighted", "family": "one_high_outlier", "frame_cluster": 44, "target_ref": "H8344", "reported_value": "5", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-045-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8345 (kWh; 2026-09-04T13:00/14:00Z): observations 0, 10, 15, 15, 35. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8345 is 15 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8345 (kWh; 2026-09-04T13:00/14:00Z): observations 0, 10, 15, 15, 35. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8345) = 15 kWh.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "approximate", "family": "equal_centres_skew_cue", "frame_cluster": 45, "target_ref": "H8345", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-045-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8345 (kWh; 2026-09-04T13:00/14:00Z): observations 0, 10, 15, 15, 35. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8345 is 15 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8345 (kWh; 2026-09-04T13:00/14:00Z): observations 0, 10, 15, 15, 35. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8345) = 15 kWh.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "approximate", "family": "equal_centres_skew_cue", "frame_cluster": 45, "target_ref": "H8345", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-046-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8346 is 25 kWh.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8346) = 25 kWh.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "categorical", "family": "even_unobserved_median", "frame_cluster": 46, "target_ref": "H8346", "reported_value": "25", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-046-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8346 is 25 kWh.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8346) = 25 kWh.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "categorical", "family": "even_unobserved_median", "frame_cluster": 46, "target_ref": "H8346", "reported_value": "25", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-047-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8347 (kWh; 2026-09-04T13:00/14:00Z): observations -45, 15, 15, 40.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8347 is 6.25 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8347 (kWh; 2026-09-04T13:00/14:00Z): observations -45, 15, 15, 40.\nReport: mean-of(H8347) = 6.25 kWh.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "uncertainty", "family": "duplicate_middle", "frame_cluster": 47, "target_ref": "H8347", "reported_value": "6.25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-047-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8347 (kWh; 2026-09-04T13:00/14:00Z): observations -45, 15, 15, 40.\nReport: The median of every numeric observation in the exact finite population H8347 is 15 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8347 (kWh; 2026-09-04T13:00/14:00Z): observations -45, 15, 15, 40.\nReport: median-of(H8347) = 15 kWh.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "uncertainty", "family": "duplicate_middle", "frame_cluster": 47, "target_ref": "H8347", "reported_value": "15", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-048-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8348 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8348 is -25 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8348 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: mean-of(H8348) = -25 kWh.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "causation", "family": "negative_values", "frame_cluster": 48, "target_ref": "H8348", "reported_value": "-25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-048-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8348 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: The median of every numeric observation in the exact finite population H8348 is -25 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8348 (kWh; 2026-09-04T13:00/14:00Z): observations -65, -40, -25, -10, 15.\nReport: median-of(H8348) = -25 kWh.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "causation", "family": "negative_values", "frame_cluster": 48, "target_ref": "H8348", "reported_value": "-25", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-049-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8349 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8349 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8349 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: mean-of(H8349) = 0 kWh.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "energy balance", "probe": "exact_recheck", "family": "symmetric_odd", "frame_cluster": 49, "target_ref": "H8349", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-049-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8349 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: The median of every numeric observation in the exact finite population H8349 is 0 kWh.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8349 (kWh; 2026-09-04T13:00/14:00Z): observations -25, -10, 0, 10, 25.\nReport: median-of(H8349) = 0 kWh.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "energy balance", "probe": "exact_recheck", "family": "symmetric_odd", "frame_cluster": 49, "target_ref": "H8349", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-050-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8350 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8350 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8350 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: mean-of(H8350) = 0 cm.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "above_most", "family": "symmetric_odd", "frame_cluster": 50, "target_ref": "H8350", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-050-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8350 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: The median of every numeric observation in the exact finite population H8350 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8350 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: median-of(H8350) = 0 cm.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "above_most", "family": "symmetric_odd", "frame_cluster": 50, "target_ref": "H8350", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-051-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8351 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8351 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8351 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: mean-of(H8351) = 0 cm.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "observed_centre", "family": "symmetric_even", "frame_cluster": 51, "target_ref": "H8351", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-051-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8351 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: The median of every numeric observation in the exact finite population H8351 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8351 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: median-of(H8351) = 0 cm.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "observed_centre", "family": "symmetric_even", "frame_cluster": 51, "target_ref": "H8351", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-052-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8352 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 24, 24, 120.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8352 is 36 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8352 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 24, 24, 120.\nReport: mean-of(H8352) = 36 cm.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "sample_scope", "family": "two_tied_modes", "frame_cluster": 52, "target_ref": "H8352", "reported_value": "36", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-052-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8352 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 24, 24, 120.\nReport: The median of every numeric observation in the exact finite population H8352 is 24 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8352 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 24, 24, 120.\nReport: median-of(H8352) = 24 cm.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "sample_scope", "family": "two_tied_modes", "frame_cluster": 52, "target_ref": "H8352", "reported_value": "24", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-053-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8353 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 6, 6, 606. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8353 is 126 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8353 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 6, 6, 606. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8353) = 126 cm.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "exclusion_change", "family": "one_high_outlier", "frame_cluster": 53, "target_ref": "H8353", "reported_value": "126", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-053-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8353 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 6, 6, 606. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8353 is 6 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8353 (cm; 2026-09-04T13:00/14:00Z): observations 6, 6, 6, 6, 606. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8353) = 6 cm.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "exclusion_change", "family": "one_high_outlier", "frame_cluster": 53, "target_ref": "H8353", "reported_value": "6", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-054-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8354 (cm; 2026-09-04T13:00/14:00Z): observations 0, 12, 18, 18, 42. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8354 is 18 cm.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8354 (cm; 2026-09-04T13:00/14:00Z): observations 0, 12, 18, 18, 42. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8354) = 18 cm.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "weighted", "family": "equal_centres_skew_cue", "frame_cluster": 54, "target_ref": "H8354", "reported_value": "18", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-054-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8354 (cm; 2026-09-04T13:00/14:00Z): observations 0, 12, 18, 18, 42. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8354 is 18 cm.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8354 (cm; 2026-09-04T13:00/14:00Z): observations 0, 12, 18, 18, 42. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8354) = 18 cm.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "weighted", "family": "equal_centres_skew_cue", "frame_cluster": 54, "target_ref": "H8354", "reported_value": "18", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-055-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8355 (cm; 2026-09-04T13:00/14:00Z): observations 6, 12, 48, 54. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8355 is 30 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8355 (cm; 2026-09-04T13:00/14:00Z): observations 6, 12, 48, 54. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8355) = 30 cm.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "approximate", "family": "even_unobserved_median", "frame_cluster": 55, "target_ref": "H8355", "reported_value": "30", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-055-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8355 (cm; 2026-09-04T13:00/14:00Z): observations 6, 12, 48, 54. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8355 is 30 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8355 (cm; 2026-09-04T13:00/14:00Z): observations 6, 12, 48, 54. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8355) = 30 cm.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "approximate", "family": "even_unobserved_median", "frame_cluster": 55, "target_ref": "H8355", "reported_value": "30", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-056-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8356 is 7.5 cm.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8356) = 7.5 cm.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "categorical", "family": "duplicate_middle", "frame_cluster": 56, "target_ref": "H8356", "reported_value": "7.5", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-056-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8356 is 18 cm.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8356) = 18 cm.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "categorical", "family": "duplicate_middle", "frame_cluster": 56, "target_ref": "H8356", "reported_value": "18", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-057-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8357 (cm; 2026-09-04T13:00/14:00Z): observations -78, -48, -30, -12, 18.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8357 is -30 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8357 (cm; 2026-09-04T13:00/14:00Z): observations -78, -48, -30, -12, 18.\nReport: mean-of(H8357) = -30 cm.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "uncertainty", "family": "negative_values", "frame_cluster": 57, "target_ref": "H8357", "reported_value": "-30", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-057-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8357 (cm; 2026-09-04T13:00/14:00Z): observations -78, -48, -30, -12, 18.\nReport: The median of every numeric observation in the exact finite population H8357 is -30 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8357 (cm; 2026-09-04T13:00/14:00Z): observations -78, -48, -30, -12, 18.\nReport: median-of(H8357) = -30 cm.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "uncertainty", "family": "negative_values", "frame_cluster": 57, "target_ref": "H8357", "reported_value": "-30", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-058-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8358 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8358 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8358 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: mean-of(H8358) = 0 cm.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "causation", "family": "symmetric_odd", "frame_cluster": 58, "target_ref": "H8358", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-058-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8358 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: The median of every numeric observation in the exact finite population H8358 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8358 (cm; 2026-09-04T13:00/14:00Z): observations -30, -12, 0, 12, 30.\nReport: median-of(H8358) = 0 cm.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "causation", "family": "symmetric_odd", "frame_cluster": 58, "target_ref": "H8358", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-059-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8359 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8359 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8359 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: mean-of(H8359) = 0 cm.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "distance offset", "probe": "exact_recheck", "family": "symmetric_even", "frame_cluster": 59, "target_ref": "H8359", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-059-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8359 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: The median of every numeric observation in the exact finite population H8359 is 0 cm.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8359 (cm; 2026-09-04T13:00/14:00Z): observations -24, -6, 6, 24.\nReport: median-of(H8359) = 0 cm.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "distance offset", "probe": "exact_recheck", "family": "symmetric_even", "frame_cluster": 59, "target_ref": "H8359", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-060-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8360 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8360 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8360 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: mean-of(H8360) = 0 units.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "above_most", "family": "symmetric_even", "frame_cluster": 60, "target_ref": "H8360", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-060-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8360 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: The median of every numeric observation in the exact finite population H8360 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8360 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: median-of(H8360) = 0 units.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "above_most", "family": "symmetric_even", "frame_cluster": 60, "target_ref": "H8360", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-061-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8361 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8361 is 42 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8361 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: mean-of(H8361) = 42 units.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "observed_centre", "family": "two_tied_modes", "frame_cluster": 61, "target_ref": "H8361", "reported_value": "42", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-061-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8361 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: The median of every numeric observation in the exact finite population H8361 is 28 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8361 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: median-of(H8361) = 28 units.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "observed_centre", "family": "two_tied_modes", "frame_cluster": 61, "target_ref": "H8361", "reported_value": "28", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-062-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8362 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 7, 7, 707.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8362 is 147 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8362 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 7, 7, 707.\nReport: mean-of(H8362) = 147 units.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "sample_scope", "family": "one_high_outlier", "frame_cluster": 62, "target_ref": "H8362", "reported_value": "147", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-062-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8362 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 7, 7, 707.\nReport: The median of every numeric observation in the exact finite population H8362 is 7 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8362 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 7, 7, 707.\nReport: median-of(H8362) = 7 units.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "sample_scope", "family": "one_high_outlier", "frame_cluster": 62, "target_ref": "H8362", "reported_value": "7", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-063-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8363 (units; 2026-09-04T13:00/14:00Z): observations 0, 14, 21, 21, 49. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8363 is 21 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8363 (units; 2026-09-04T13:00/14:00Z): observations 0, 14, 21, 21, 49. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8363) = 21 units.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "exclusion_change", "family": "equal_centres_skew_cue", "frame_cluster": 63, "target_ref": "H8363", "reported_value": "21", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-063-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8363 (units; 2026-09-04T13:00/14:00Z): observations 0, 14, 21, 21, 49. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8363 is 21 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8363 (units; 2026-09-04T13:00/14:00Z): observations 0, 14, 21, 21, 49. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8363) = 21 units.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "exclusion_change", "family": "equal_centres_skew_cue", "frame_cluster": 63, "target_ref": "H8363", "reported_value": "21", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-064-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8364 (units; 2026-09-04T13:00/14:00Z): observations 7, 14, 56, 63. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8364 is 35 units.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8364 (units; 2026-09-04T13:00/14:00Z): observations 7, 14, 56, 63. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8364) = 35 units.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "weighted", "family": "even_unobserved_median", "frame_cluster": 64, "target_ref": "H8364", "reported_value": "35", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-064-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8364 (units; 2026-09-04T13:00/14:00Z): observations 7, 14, 56, 63. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8364 is 35 units.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8364 (units; 2026-09-04T13:00/14:00Z): observations 7, 14, 56, 63. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8364) = 35 units.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "weighted", "family": "even_unobserved_median", "frame_cluster": 64, "target_ref": "H8364", "reported_value": "35", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-065-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8365 (units; 2026-09-04T13:00/14:00Z): observations -63, 21, 21, 56. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8365 is 8.75 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8365 (units; 2026-09-04T13:00/14:00Z): observations -63, 21, 21, 56. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8365) = 8.75 units.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "approximate", "family": "duplicate_middle", "frame_cluster": 65, "target_ref": "H8365", "reported_value": "8.75", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-065-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8365 (units; 2026-09-04T13:00/14:00Z): observations -63, 21, 21, 56. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8365 is 21 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8365 (units; 2026-09-04T13:00/14:00Z): observations -63, 21, 21, 56. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8365) = 21 units.", "question": "Does that backend by itself license the exact report as written?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "approximate", "family": "duplicate_middle", "frame_cluster": 65, "target_ref": "H8365", "reported_value": "21", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-066-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8366 is -35 units.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8366) = -35 units.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "categorical", "family": "negative_values", "frame_cluster": 66, "target_ref": "H8366", "reported_value": "-35", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-066-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8366 is -35 units.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8366) = -35 units.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "categorical", "family": "negative_values", "frame_cluster": 66, "target_ref": "H8366", "reported_value": "-35", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-067-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8367 (units; 2026-09-04T13:00/14:00Z): observations -35, -14, 0, 14, 35.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8367 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8367 (units; 2026-09-04T13:00/14:00Z): observations -35, -14, 0, 14, 35.\nReport: mean-of(H8367) = 0 units.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "uncertainty", "family": "symmetric_odd", "frame_cluster": 67, "target_ref": "H8367", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-067-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8367 (units; 2026-09-04T13:00/14:00Z): observations -35, -14, 0, 14, 35.\nReport: The median of every numeric observation in the exact finite population H8367 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8367 (units; 2026-09-04T13:00/14:00Z): observations -35, -14, 0, 14, 35.\nReport: median-of(H8367) = 0 units.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "uncertainty", "family": "symmetric_odd", "frame_cluster": 67, "target_ref": "H8367", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-068-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8368 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8368 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8368 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: mean-of(H8368) = 0 units.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "causation", "family": "symmetric_even", "frame_cluster": 68, "target_ref": "H8368", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-068-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8368 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: The median of every numeric observation in the exact finite population H8368 is 0 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8368 (units; 2026-09-04T13:00/14:00Z): observations -28, -7, 7, 28.\nReport: median-of(H8368) = 0 units.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "causation", "family": "symmetric_even", "frame_cluster": 68, "target_ref": "H8368", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-069-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8369 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8369 is 42 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8369 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: mean-of(H8369) = 42 units.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "inventory adjustment", "probe": "exact_recheck", "family": "two_tied_modes", "frame_cluster": 69, "target_ref": "H8369", "reported_value": "42", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-069-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8369 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: The median of every numeric observation in the exact finite population H8369 is 28 units.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8369 (units; 2026-09-04T13:00/14:00Z): observations 7, 7, 28, 28, 140.\nReport: median-of(H8369) = 28 units.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "inventory adjustment", "probe": "exact_recheck", "family": "two_tied_modes", "frame_cluster": 69, "target_ref": "H8369", "reported_value": "28", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-070-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8370 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8370 is 48 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8370 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: mean-of(H8370) = 48 Pa.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "above_most", "family": "two_tied_modes", "frame_cluster": 70, "target_ref": "H8370", "reported_value": "48", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-070-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8370 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: The median of every numeric observation in the exact finite population H8370 is 32 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8370 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: median-of(H8370) = 32 Pa.", "question": "Is the reported number strictly greater than more than half of these individual observations?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "above_most", "family": "two_tied_modes", "frame_cluster": 70, "target_ref": "H8370", "reported_value": "32", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-071-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8371 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8371 is 168 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8371 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: mean-of(H8371) = 168 Pa.", "question": "Does any listed observation actually equal the reported number?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "observed_centre", "family": "one_high_outlier", "frame_cluster": 71, "target_ref": "H8371", "reported_value": "168", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-071-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8371 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: The median of every numeric observation in the exact finite population H8371 is 8 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8371 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: median-of(H8371) = 8 Pa.", "question": "Does any listed observation actually equal the reported number?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "observed_centre", "family": "one_high_outlier", "frame_cluster": 71, "target_ref": "H8371", "reported_value": "8", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-072-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8372 (Pa; 2026-09-04T13:00/14:00Z): observations 0, 16, 24, 24, 56.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8372 is 24 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8372 (Pa; 2026-09-04T13:00/14:00Z): observations 0, 16, 24, 24, 56.\nReport: mean-of(H8372) = 24 Pa.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "sample_scope", "family": "equal_centres_skew_cue", "frame_cluster": 72, "target_ref": "H8372", "reported_value": "24", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-072-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8372 (Pa; 2026-09-04T13:00/14:00Z): observations 0, 16, 24, 24, 56.\nReport: The median of every numeric observation in the exact finite population H8372 is 24 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8372 (Pa; 2026-09-04T13:00/14:00Z): observations 0, 16, 24, 24, 56.\nReport: median-of(H8372) = 24 Pa.", "question": "Does this report alone establish the same number for the wider population from which this sample was drawn?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "sample_scope", "family": "equal_centres_skew_cue", "frame_cluster": 72, "target_ref": "H8372", "reported_value": "24", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-073-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8373 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 16, 64, 72. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8373 is 40 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8373 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 16, 64, 72. A later collection removes the largest listed observation and has a different immutable reference.\nReport: mean-of(H8373) = 40 Pa.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "exclusion_change", "family": "even_unobserved_median", "frame_cluster": 73, "target_ref": "H8373", "reported_value": "40", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-073-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8373 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 16, 64, 72. A later collection removes the largest listed observation and has a different immutable reference.\nReport: The median of every numeric observation in the exact finite population H8373 is 40 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8373 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 16, 64, 72. A later collection removes the largest listed observation and has a different immutable reference.\nReport: median-of(H8373) = 40 Pa.", "question": "Can the later collection silently keep the original reference in this exact report?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "exclusion_change", "family": "even_unobserved_median", "frame_cluster": 73, "target_ref": "H8373", "reported_value": "40", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-074-0", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8374 (Pa; 2026-09-04T13:00/14:00Z): observations -72, 24, 24, 64. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8374 is 10 Pa.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8374 (Pa; 2026-09-04T13:00/14:00Z): observations -72, 24, 24, 64. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: mean-of(H8374) = 10 Pa.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "weighted", "family": "duplicate_middle", "frame_cluster": 74, "target_ref": "H8374", "reported_value": "10", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-074-1", "english": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8374 (Pa; 2026-09-04T13:00/14:00Z): observations -72, 24, 24, 64. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: The median of every numeric observation in the exact finite population H8374 is 24 Pa.", "ainglish": "The immutable record names only the listed finite sample, with unequal weights, no missing values and no transformation. H8374 (Pa; 2026-09-04T13:00/14:00Z): observations -72, 24, 24, 64. The backend used an unequal-weight estimator, not the unweighted statistic.\nReport: median-of(H8374) = 24 Pa.", "question": "Is the report licensed as an assertion of the stated unweighted finite-collection statistic from that backend?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "weighted", "family": "duplicate_middle", "frame_cluster": 74, "target_ref": "H8374", "reported_value": "24", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-075-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8375 (Pa; 2026-09-04T13:00/14:00Z): observations -104, -64, -40, -16, 24. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8375 is -40 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8375 (Pa; 2026-09-04T13:00/14:00Z): observations -104, -64, -40, -16, 24. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: mean-of(H8375) = -40 Pa.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "approximate", "family": "negative_values", "frame_cluster": 75, "target_ref": "H8375", "reported_value": "-40", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-075-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8375 (Pa; 2026-09-04T13:00/14:00Z): observations -104, -64, -40, -16, 24. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: The median of every numeric observation in the exact finite population H8375 is -40 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8375 (Pa; 2026-09-04T13:00/14:00Z): observations -104, -64, -40, -16, 24. The backend instead produced an approximation from a moving window and cannot reproduce this exact finite file.\nReport: median-of(H8375) = -40 Pa.", "question": "Does that backend by itself license the exact report as written?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "approximate", "family": "negative_values", "frame_cluster": 75, "target_ref": "H8375", "reported_value": "-40", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-076-0", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8376 is 0 Pa.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: mean-of(H8376) = 0 Pa.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "categorical", "family": "symmetric_odd", "frame_cluster": 76, "target_ref": "H8376", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-076-1", "english": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: The median of every numeric observation in the exact finite population H8376 is 0 Pa.", "ainglish": "The referenced file actually contains only the unordered category labels red, red, blue, blue, green. A numeric order has not been defined.\nReport: median-of(H8376) = 0 Pa.", "question": "Can either of these numeric-centre reports be justified by taking the most common category in that file?", "options": [ "yes", "no" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "categorical", "family": "symmetric_odd", "frame_cluster": 76, "target_ref": "H8376", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": true } }, { "id": "mean-hard-077-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8377 (Pa; 2026-09-04T13:00/14:00Z): observations -32, -8, 8, 32.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8377 is 0 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8377 (Pa; 2026-09-04T13:00/14:00Z): observations -32, -8, 8, 32.\nReport: mean-of(H8377) = 0 Pa.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "uncertainty", "family": "symmetric_even", "frame_cluster": 77, "target_ref": "H8377", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-077-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8377 (Pa; 2026-09-04T13:00/14:00Z): observations -32, -8, 8, 32.\nReport: The median of every numeric observation in the exact finite population H8377 is 0 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8377 (Pa; 2026-09-04T13:00/14:00Z): observations -32, -8, 8, 32.\nReport: median-of(H8377) = 0 Pa.", "question": "Does reporting this centre alone provide a confidence interval or certify the measurement precision?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "uncertainty", "family": "symmetric_even", "frame_cluster": 77, "target_ref": "H8377", "reported_value": "0", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-078-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8378 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8378 is 48 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8378 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: mean-of(H8378) = 48 Pa.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "causation", "family": "two_tied_modes", "frame_cluster": 78, "target_ref": "H8378", "reported_value": "48", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-078-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8378 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: The median of every numeric observation in the exact finite population H8378 is 32 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8378 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 32, 32, 160.\nReport: median-of(H8378) = 32 Pa.", "question": "Does this centre report alone establish that an earlier intervention caused the observed values?", "options": [ "no", "yes" ], "answer": "no", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "causation", "family": "two_tied_modes", "frame_cluster": 78, "target_ref": "H8378", "reported_value": "32", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-079-0", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8379 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: The unweighted arithmetic mean of every numeric observation in the exact finite population H8379 is 168 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8379 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: mean-of(H8379) = 168 Pa.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "yes", "no" ], "answer": "yes", "settlement_stratum": "mean-of", "strata": { "form": "mean-of", "domain": "pressure offset", "probe": "exact_recheck", "family": "one_high_outlier", "frame_cluster": 79, "target_ref": "H8379", "reported_value": "168", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean-hard-079-1", "english": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8379 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: The median of every numeric observation in the exact finite population H8379 is 8 Pa.", "ainglish": "The immutable record names only the listed finite sample, with equal weights, no missing values and no transformation. H8379 (Pa; 2026-09-04T13:00/14:00Z): observations 8, 8, 8, 8, 808.\nReport: median-of(H8379) = 8 Pa.", "question": "Could the exact reported centre be independently checked using these complete finite observations and the specified procedure?", "options": [ "no", "yes" ], "answer": "yes", "settlement_stratum": "median-of", "strata": { "form": "median-of", "domain": "pressure offset", "probe": "exact_recheck", "family": "one_high_outlier", "frame_cluster": 79, "target_ref": "H8379", "reported_value": "8", "diagnostic_only": true, "intentionally_unlicensed": false } }, { "id": "mean.hard-control-0", "calibration": true, "english": "Either Mira or Sana holds sealed parcel NWC-mean.hard-0; its holder remains unspecified.", "ainglish": "Only Mira not Sana holds sealed parcel NWC-mean.hard-0; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-0?", "answer": "Mira", "options": [ "Mira", "Sana", "not determined by the text", "neither of them" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-1", "calibration": true, "english": "Either Neri or Olan holds sealed parcel NWC-mean.hard-1; its holder remains unspecified.", "ainglish": "Only Neri not Olan holds sealed parcel NWC-mean.hard-1; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-1?", "answer": "Neri", "options": [ "Olan", "not determined by the text", "neither of them", "Neri" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-2", "calibration": true, "english": "Either Vela or Tari holds sealed parcel NWC-mean.hard-2; its holder remains unspecified.", "ainglish": "Only Vela not Tari holds sealed parcel NWC-mean.hard-2; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-2?", "answer": "Vela", "options": [ "not determined by the text", "neither of them", "Vela", "Tari" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-3", "calibration": true, "english": "Either Nola or Kavi holds sealed parcel NWC-mean.hard-3; its holder remains unspecified.", "ainglish": "Only Nola not Kavi holds sealed parcel NWC-mean.hard-3; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-3?", "answer": "Nola", "options": [ "neither of them", "Nola", "Kavi", "not determined by the text" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-4", "calibration": true, "english": "Either Fara or Leni holds sealed parcel NWC-mean.hard-4; its holder remains unspecified.", "ainglish": "Only Fara not Leni holds sealed parcel NWC-mean.hard-4; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-4?", "answer": "Fara", "options": [ "Fara", "Leni", "not determined by the text", "neither of them" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-5", "calibration": true, "english": "Either Eran or Ravi holds sealed parcel NWC-mean.hard-5; its holder remains unspecified.", "ainglish": "Only Eran not Ravi holds sealed parcel NWC-mean.hard-5; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-5?", "answer": "Eran", "options": [ "Ravi", "not determined by the text", "neither of them", "Eran" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-6", "calibration": true, "english": "Either Suri or Toma holds sealed parcel NWC-mean.hard-6; its holder remains unspecified.", "ainglish": "Only Suri not Toma holds sealed parcel NWC-mean.hard-6; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-6?", "answer": "Suri", "options": [ "not determined by the text", "neither of them", "Suri", "Toma" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." }, { "id": "mean.hard-control-7", "calibration": true, "english": "Either Zena or Iven holds sealed parcel NWC-mean.hard-7; its holder remains unspecified.", "ainglish": "Only Zena not Iven holds sealed parcel NWC-mean.hard-7; its holder is specified. ", "question": "Who holds parcel NWC-mean.hard-7?", "answer": "Zena", "options": [ "neither of them", "Zena", "Iven", "not determined by the text" ], "control_note": "Equal word count and character length; final spaces are padding, not added information. Native model-token equality is not asserted." } ]