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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Histograms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a histogram, the height of each bar (bin) represents the number of data points that fall into its interval.\n",
    "They are generally used to show the distribution of a variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "// Generate some random data\n",
    "\n",
    "Random random = new Random();\n",
    "data1 = [];\n",
    "data2 = [];\n",
    "\n",
    "(1..10000).each {\n",
    "  data1 << random.nextGaussian();\n",
    "  data2 << 2*random.nextGaussian() + 1.0;\n",
    "}\n",
    "OutputCell.HIDDEN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "80593cbe-8357-4719-9161-62ea58c29c46",
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      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(data: data1, binCount: 25);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b39f7e31-8088-4369-a1ff-4e8ce2a144ae",
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       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(initWidth:800, initHeight:200,\n",
    "              title:\"Wide Histogram with Manual Parameters\",\n",
    "              xLabel:\"Size\",\n",
    "              yLabel:\"Count\",\n",
    "              rangeMin: -8, \n",
    "              rangeMax: 8, \n",
    "              data: data1 + [7]*200,\n",
    "              binCount: 99, \n",
    "              color: new Color(0, 154, 166));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ac68e5ee-c39d-4f57-96e2-0d90d6c847a6",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(title:\"Default is Overlap\",\n",
    "              data: [data1, data2],\n",
    "              binCount: 99,\n",
    "              names: [\"old and tired\", \"new and improved\"],\n",
    "              color: [new Color(0, 154, 166),\n",
    "                      new Color(230, 50, 50, 128) // transparent!\n",
    "                     ]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e3105c5a-ca2d-41e2-a2c7-b01ae6a1b8cb",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(title:\"Stack\",\n",
    "              showLegend: false,\n",
    "              displayMode: Histogram.DisplayMode.STACK,\n",
    "              data: [data1, data2],\n",
    "              binCount: 99)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9d7ff8cc-6324-48e5-93e3-c7a1ecda9d51",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(title:\"Side by Side\",\n",
    "              displayMode: Histogram.DisplayMode.SIDE_BY_SIDE,\n",
    "              data: [data1,data2], \n",
    "              binCount: 55)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "19b94b27-dd1d-4355-9118-b37d2ae8d2b3",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(title:\"Cumulative\",\n",
    "              cumulative: true,\n",
    "              data: data1,\n",
    "              binCount: 55);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a *normed* histogram , the height of the bars is scaled so the area under the histogram is unity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "03cbf569-bdf0-4b8f-9ded-a1875f474c55",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(title:\"Normed, Area = 1.0\",\n",
    "              normed: true,\n",
    "              data: data1,\n",
    "              binCount: 55);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "20034ab8-3bf5-49f8-871b-32e24fe909cb",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new Histogram(log: true,  \n",
    "              data: data1,\n",
    "              binCount: 99);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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