{ "cells": [ { "cell_type": "markdown", "id": "fff56b76", "metadata": {}, "source": [ "--- \n", " \n", "\n", "

Department of Data Science

\n", "

Course: Tools and Techniques for Data Science

\n", "\n", "---\n", "

Instructor: Muhammad Arif Butt, Ph.D.

" ] }, { "cell_type": "markdown", "id": "05dbb7e4", "metadata": {}, "source": [ "

Lecture 3.23 (Data Visualization-III)

" ] }, { "cell_type": "markdown", "id": "6671d4d6", "metadata": {}, "source": [ "\"Open" ] }, { "cell_type": "markdown", "id": "117c331e", "metadata": {}, "source": [ "## _Data Visualization with Matplotlib_\n", "\n", "**Read Documentation for details:** \n", "https://matplotlib.org/stable/users/index.html" ] }, { "cell_type": "markdown", "id": "10a00218", "metadata": {}, "source": [ "\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "0677fbfc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e42b820a", "metadata": {}, "source": [ "## Learning agenda of this notebook\n", "1. Recap:\n", " - Anatomy of a Figure\n", " - Line, Bar and Scatter Chart\n", "2. Pie Chart\n", "3. Histogram" ] }, { "cell_type": "code", "execution_count": null, "id": "dab15048", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e5d568a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "312404c8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d533666d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e6e9f900", "metadata": {}, "source": [ "## 1. Recap" ] }, { "cell_type": "markdown", "id": "f702a78d", "metadata": {}, "source": [ "### a. Anatomy of a Figure\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "fc4e270c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cff5e2a4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f4696238", "metadata": {}, "source": [ "### b. Line Chart\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "1a4249da", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f58056a2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "9eb21221", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f94ece7b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1d4c5c57", "metadata": {}, "source": [ "### c. Bar Chart\n", "\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "3698d97a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "37376719", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ab8c4bde", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "56e72710", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2d6b49c1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f8da69b3", "metadata": {}, "source": [ "### d. Scatter Chart\n", "" ] }, { "cell_type": "code", "execution_count": null, "id": "edd37047", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6e80e9d6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3cc3ac36", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "dfd1b1d8", "metadata": {}, "source": [ "To begin, let's install the Matplotlib library. We'll use the `matplotlib.pyplot` module for basic plots like line & bar charts. It is often imported with the alias `plt`. " ] }, { "cell_type": "code", "execution_count": null, "id": "7e6f955f", "metadata": {}, "outputs": [], "source": [ "# To install this library in Jupyter notebook\n", "import sys\n", "#!{sys.executable} -m pip install --upgrade pip\n", "!{sys.executable} -m pip install matplotlib --quiet" ] }, { "cell_type": "code", "execution_count": null, "id": "e99b39c5", "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "matplotlib.__version__ , matplotlib.__path__" ] }, { "cell_type": "code", "execution_count": null, "id": "475db255", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "57a9a8b5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4e12ef97", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8db10e17", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "0761b3f3", "metadata": {}, "source": [ "## 2. Pie Chart\n", "\n", "\n", "- A pie chart is best used when trying to work out the composition of something. If you have categorical data then using a pie chart would work really well as each slice can represent a different category. \n", "- Pie charts are often used to highlight the proportion of categorical data in relation to the overall value of a dataset. Pie charts are shaped like a pie, and each category that takes up a part of the pie is shaped like a slice. The larger the slice, the greater the proportion of the overall values it represents.\n", "\n", "- Like with other plot types, the basic function in Matplotlib to plot a pie chart is `pie()`. Below are some of the important parameters we may need:\n", "\n", " - `x`: The list of data we want to present for each Wedge.\n", " - `labels`: A sequence of string that provides labels for each wedge.\n", " - `colors`: Set as None or as a list of colors that are the same length as x.\n", " - `autopct`: Set as none or as a string to label wedges with their numeric values. The label will be placed inside the wedge.\n", " - `explode`: Set as None or as a list of values that are the same length as x. Each item in this list indicates how far each wedge deviates from the center of the circle\n", " - `shadow`: Set as True or False. the default values is False. Setting true adds a shadow effect.\n", " - `counterclock`: Set as True or False. The default value is True. Used to specify the direction of the fractions." ] }, { "cell_type": "code", "execution_count": null, "id": "168cb738", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "5706d951", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1b7ae504", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "dfe546c8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4ab261c6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7dad6f94", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "a8ce9fd8", "metadata": {}, "source": [ "### a. Example 1 (A Basic Pie Chart):" ] }, { "cell_type": "code", "execution_count": null, "id": "f3672d02", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Data for the pie plot\n", "slices = [50, 150, 300 ]\n", "\n", "labels = ['One', 'Two', 'Three']\n", "# Create a pie chart\n", "ax.pie(x=slices, labels=labels)\n", "\n", "\n", "# add title\n", "plt.title(\"A Pie Chart\")\n", "# show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "1741defc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "311cae55", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c735c774", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c5e666ba", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "116a3906", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0171e7cb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "e8390b35", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "96b40d8b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f3c2d31f", "metadata": {}, "source": [ "### b. Example 2 (Pie Chart Showing Student Counts in Faculty of Computing and IT at PU):" ] }, { "cell_type": "code", "execution_count": null, "id": "377421fa", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "\n", "\n", "# Data for the pie plot\n", "std_count = [130, 550, 250, 400]\n", "depts = [\"DS\", \"CS\", \"SE\", \"IT\"]\n", "explode = [0.2, 0, 0, 0]\n", "colors = ['#008fd5', '#fc4f30', '#e5ae37', '#6d904f']\n", "# Create a pie chart\n", "ax.pie(x=std_count, labels=depts, autopct='%.1f%%', colors=colors, explode=explode, shadow=True, startangle=190)\n", "\n", "\n", "# add title\n", "plt.title(\"Students Count in Faculty of IT\")\n", "# show plot\n", "plt.show()\n", "\n", "#colors = ['blue', 'red', 'yellow', 'green']\n", "#colors = ['#008fd5', '#fc4f30', '#e5ae37', '#6d904f']" ] }, { "cell_type": "code", "execution_count": null, "id": "038be40b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "114ae32a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "88154b1b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6ebe74b9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bc17da60", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "29015408", "metadata": {}, "source": [ "### c. Example 3 (Pie Chart Showing Popularity of Programming Languages):" ] }, { "cell_type": "code", "execution_count": null, "id": "4697e3cd", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "df = pd.read_csv('datasets/so_survey_subset.csv')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "c0453c09", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d0c0d519", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "8e267a45", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 2, "id": "58d70c10", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Data for the pie plot\n", "languages = ['HTML/CSS', 'C', 'C++', 'C#', 'Python', 'SQL', 'Java', 'R', 'Bash/Shell/PowerShell', 'JavaScript',\n", " 'Ruby', 'TypeScript', 'PHP', 'VBA', 'Go']\n", "popularity = [32242, 7885, 9569, 16606, 20013, 28946, 19216, 2757, 19802, 35773, 4685, 12532,\n", " 4469, 12619, 4560]\n", "\n", "\n", "# Create a pie chart\n", "ax.pie(x=popularity, labels=languages)\n", "\n", "# add title\n", "plt.title(\"Popularity of Programming Languages\")\n", "\n", "# show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "cf9a211a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f9b40b25", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a021b0ad", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "e9c47104", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "44a3e751", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "08c30f2d", "metadata": {}, "source": [ "### 3. Plotting Histogram\n", "\n", "\n", "

















\n", "\n", "The histogram is an important graph in statistics and data analysis. It can be used to help people quickly understand the distribution of data. In order to draw a histogram, we follow the steps outlined below:\n", "- Step 1: Create appropriate number of bins that should cover the entire range of data.\n", "- Step 2: Place the data values into their corresponding bins.\n", "- Step 3: Count how many values fall into each different bin.\n", "- Step 4: Draw a bar for each bin, where the height of the bar represent the data points that resides in that bin.\n", "\n", "\n", "The function in Matplotlib that we can use to draw a histogram is `hist()`. Below are some of the important parameters that we may need:\n", "\n", "- `x`: Our input values, either a single list/array or multiple sequences of arrays.\n", "- `bins`: If bins is set with an integer, it will define the number of equal-width bins within a range. If bins is set with a sequence, it will define the bin edges, including the left edge of the first bin and the right edge of the last bin.\n", "- `histtype`: Sets the style of the histogram. The default value is bar. step generates a line plot that is unfilled by default. stepfilled generates a line plot that is filled by default.\n", "- `density`: Sets True or False. The default is set to False. If True, the histogram will be normalized to form a probability density.\n", "- `cumulative`: Sets True or -1. If True, then a histogram is computed where each bin gives the count in that bin plus all bins for smaller values." ] }, { "cell_type": "markdown", "id": "392429de", "metadata": {}, "source": [ "### A Hello World" ] }, { "cell_type": "code", "execution_count": 30, "id": "6d6517b2", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# Data for the histogram plot\n", "ages = [14.0, 19.0, 28.0, 22.0, 30.0, 28.0, 42.0, 24.0, 23.0, 22.0, 21.0, 28.0, 31.0, 20.0, 26.0, 29.0, 31.0, \n", " 38.0, 47.0, 22.0, 23.0, 22.0, 34.0, 22.0, 32.0, 28.0, 21.0, 25.0, 17.0, 35.0, 21.0, 27.0, 44.0, 42.0, \n", " 23.0, 30.0, 27.0, 43.0, 62.0, 37.0, 45.0, 20.0, 34.0, 23.0, 18.0, 22.0, 18.0, 37.0, 25.0, 33.0, 31.0, \n", " 47.0, 38.0, 27.0, 34.0, 19.0, 42.0, 25.0, 21.0, 24.0, 29.0, 18.0, 42.0, 21.0, 29.0, 36.0, 24.0, 27.0, \n", " 32.0, 43.0, 25.0, 20.0, 24.0, 28.0, 22.0, 26.0, 31.0, 26.0, 36.0, 16.0, 25.0, 25.0, 35.0, 32.0, 27.0, \n", " 30.0, 43.0, 25.0, 30.0, 21.0, 39.0, 35.0, 37.0, 29.0, 33.0, 24.0, 64.0, 41.0, 26.0, 54.0, 19.0, 49.0, \n", " 26.0, 21.0, 31.0, 38.0, 26.0, 28.0, 26.0, 20.0, 24.0, 27.0, 35.0, 32.0, 36.0, 30.0, 34.0, 23.0, 30.0, \n", " 39.0, 54.0, 32.0, 25.0, 24.0, 25.0, 21.0, 24.0, 36.0, 47.0, 47.0, 28.0, 40.0, 31.0, 34.0, 39.0, 40.0, \n", " 34.0, 36.0, 25.0, 29.0, 35.0, 43.0, 35.0, 32.0, 47.0, 30.0, 28.0, 32.0, 25.0, 31.0, 31.0, 24.0, 20.0, \n", " 31.0, 22.0, 28.0, 35.0, 32.0, 29.0, 18.0, 30.0, 29.0, 28.0, 26.0, 23.0, 28.0, 28.0, 27.0, 27.0, 28.0, \n", " 56.0, 29.0, 22.0, 40.0, 40.0, 30.0, 43.0, 35.0, 45.0, 29.0, 12.0, 24.0, 33.0, 34.0, 26.0, 33.0, 47.0, \n", " 30.0, 30.0, 41.0, 58.0, 46.0, 35.0, 36.0, 36.0, 39.0, 47.0, 59.0, 23.0, 28.0, 38.0, 33.0, 25.0, 25.0, \n", " 31.0, 32.0, 36.0, 45.0, 21.0, 29.0, 21.0, 31.0, 21.0, 32.0, 30.0, 17.0, 44.0, 35.0, 33.0, 33.0, 30.0, \n", " 24.0, 27.0, 20.0, 27.0, 28.0, 41.0, 20.0, 20.0, 43.0, 23.0, 31.0, 27.0, 24.0, 40.0, 40.0, 33.0, 23.0]\n", "\n", "#ax.hist(x=ages)\n", "\n", "#bins = [0,20,25,30,35,40,100]\n", "ax.hist(x=ages, bins=15, edgecolor='black', color='green', histtype='stepfilled',orientation='vertical')\n", "#ax.hist(x=ages, bins=bins, edgecolor='black', color='green', histtype='bar',orientation='vertical')\n", "\n", "plt.xlabel(\"Ages\")\n", "plt.ylabel('Count')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "fd880cf9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "270f6ad4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4a912bc9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e9946b82", "metadata": {}, "source": [ "### a. Example 1 (Histogram showing ages of Respondents of Stack Overflow Survey)" ] }, { "cell_type": "code", "execution_count": 4, "id": "8f56a00e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01I am a student who is learning to codeYesUnited Kingdom4NaNHTML/CSS;Java;JavaScript;PythonTwitter14.0Man
12I am a student who is learning to codeNoBosnia and HerzegovinaNaNNaNC++;HTML/CSS;PythonInstagram19.0Man
23I am not primarily a developer, but I write co...YesThailand38820.0HTML/CSSReddit28.0Man
34I am a developer by professionNoUnited States361000.0C;C++;C#;Python;SQLReddit22.0Man
45I am a developer by professionYesUkraine16NaNC++;HTML/CSS;Java;JavaScript;Python;SQL;VBAFacebook30.0Man
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8888288863NaNYesSpain8NaNBash/Shell/PowerShell;HTML/CSS;Java;JavaScript...WhatsApp18.0Man
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36.0, 35.0, 29.0, 39.0, 25.0, 12.0, 33.0, 23.0, 26.0, 17.0, 21.0, 17.0, 48.0, 26.0, 23.0, 20.0, 36.0, 26.0, 48.0, 34.0, 34.0, 28.0, 22.0, 21.0, 42.0, 27.0, 58.0, 20.0, 40.0, 45.0, 28.0, 20.0, 38.0, 44.0, 22.0, 43.0, 22.0, 69.0, 5.0, 37.0, 44.0, 22.0, 25.0, 27.0, 21.0, 24.0, 38.0, 29.0, 33.0, 23.0, 22.0, 24.0, 29.0, 32.0, 51.0, 24.0, 16.0, 50.0, 34.0, 29.0, 42.0, 22.0, 62.0, 37.0, 40.0, 23.0, 29.0, 54.0, 26.0, 33.0, 1.0, 31.0, 49.0, 64.0, 18.0, 22.0, 49.0, 28.0, 24.0, 23.0, 38.0, 20.0, 28.0, 36.0, 23.0, 50.0, 21.0, 16.0, 30.0, 21.0, 61.0, 55.0, 34.0, 19.0, 36.0, 23.0, 21.0, 16.0, 25.0, 26.0, 26.0, 23.0, 22.0, 24.0, 50.0, 16.0, 36.0, 20.0, 35.0, 54.0, 26.0, 52.0, 57.0, 48.0, 35.0, 30.0, 23.0, 20.0, 30.0, 13.0, 33.0, 28.0, 28.0, 37.0, 25.0, 24.0, 32.0, 22.0, 43.0, 17.0, 44.0, 67.0, 66.0, 51.0, 57.0, 40.0, 21.0, 25.0, 33.0, 36.0, 66.0, 27.0, 25.0, 18.0, 21.0, 32.0, 22.0, 27.0, 47.0, 71.0, 29.0, 30.0, 38.0, 23.0, 31.0, 57.0, 14.0, 58.0, 29.0, 29.0, 26.0, 29.0, 30.0, 22.0, 52.0, 27.0, 31.0, 5.0, 38.0, 47.0, 47.0, 28.0, 24.0, 39.0, 23.0, 65.0, 20.0, 28.0, 26.0, 25.0, 36.0, 50.0, 62.0, 22.0, 46.0, 29.0, 17.0, 34.0, 51.0, 87.0, 24.0, 29.0, 45.0, 31.0, 37.0, 18.0, 35.0, 30.0, 14.0, 28.0, 19.0, 32.0, 26.0, 16.0, 36.0, 34.0, 2.0, 19.0, 15.0, 22.0, 26.0, 27.0, 47.0, 52.0, 26.0, 60.0, 29.0, 28.0, 22.0, 64.0, 18.0, 29.0, 22.0, 40.0, 44.0, 17.0, 34.0, 29.0, 27.0, 57.0, 24.0, 23.0, 34.0, 15.0, 45.0, 24.0, 74.0, 30.0, 19.0, 59.0, 21.0, 25.0, 40.0, 18.0]\n" ] } ], "source": [ "ages_list = list(df['Age'])\n", "print(ages_list)" ] }, { "cell_type": "code", "execution_count": null, "id": "9c89799c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f90dfb62", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 31, "id": "6b8ec787", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Data for histogram\n", "ages_list = list(df['Age'])\n", "bins = [10,20,30,40,50,60,70,80,90,100]\n", "\n", "#ax.hist(x=ages_list, bins=10, edgecolor='black')\n", "ax.hist(x=ages_list, bins=bins, edgecolor='black', color='green', log=True)\n", "\n", "# add title\n", "plt.title(\"Ages of SO Survey Respondents\")\n", "\n", "plt.xlabel(\"Ages\")\n", "plt.ylabel('Total Respondents')\n", "plt.grid(True)\n", "# show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "3d95c25f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3d441691", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "051da3d1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "599edf7b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "52d7a4a7", "metadata": {}, "source": [ "**Enhance the Graph**" ] }, { "cell_type": "code", "execution_count": 20, "id": "b1c26a2d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Data for the pie plot\n", "ages_list = list(df['Age'])\n", "bins = [10,20,30,40,50,60,70,80,90,100]\n", "\n", "ax.hist(x=ages_list, bins=10, edgecolor='black')\n", "#ax.hist(x=ages_list, bins=bins, edgecolor='black', color='green', log=True)\n", "\n", "# add title\n", "plt.title(\"Ages of SO Survey Respondents\")\n", "\n", "plt.xlabel(\"Ages\")\n", "plt.ylabel('Total Respondents')\n", "plt.grid(True)\n", "# show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "2563dfaa", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "31c16dba", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "efc2ab3e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "23d6e0b8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "715c36a7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bd87cc44", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "a3d10fe4", "metadata": {}, "source": [ "**Adding additional information to the histogram (a vertical line showing median and mean of the age)**" ] }, { "cell_type": "code", "execution_count": 11, "id": "9e3da6ca", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "29.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "median_age = df['Age'].median()\n", "median_age" ] }, { "cell_type": "code", "execution_count": 12, "id": "940c4881", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "30.336698649160457" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_age = df['Age'].mean()\n", "mean_age" ] }, { "cell_type": "code", "execution_count": 26, "id": "e6b04223", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "# Data for the pie plot\n", "ages = list(df['Age'])\n", "bins=[10, 20, 30, 40, 50, 60, 70, 80, 90, 100]\n", "\n", "# Create a pie chart\n", "ax.hist(x=ages, bins=bins, edgecolor='black', log=True)\n", "\n", "\n", "median_age = df['Age'].median()\n", "average_age = df['Age'].mean()\n", "\n", "\n", "plt.axvline(median_age, color='red', lw= 2, label='Median Age')\n", "plt.axvline(average_age, color='black', linewidth=2, label='Average Age')\n", "plt.legend()\n", "\n", "# add title\n", "plt.title(\"Ages of SO Survey Respondents\")\n", "\n", "plt.xlabel(\"Ages\")\n", "plt.ylabel('Total Respondents')\n", "plt.grid(True)\n", "# show plot\n", "plt.savefig(\"myhistogram.png\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "e7b97b5f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a769f284", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bf44269f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "fdfb4b16", "metadata": {}, "source": [ "### b. Example 2 (Histogram of an Image)\n", ">- The histogram of a grey scale image indicate the number of times each grey level occurs in the image\n", ">- The histogram of an image gives the the global appearance of the image, i.e., the image appears to be on the darker side or brighter side.\n", ">- An image histogram doesn't tell you what the image contains, i.e., is this the image of a face, or areal view of city. So no structural information is available in histyorgram of an image" ] }, { "cell_type": "code", "execution_count": 14, "id": "dcaceb29", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from PIL import Image\n", "rgb_img = Image.open(\"datasets/arif1_color.jpg\")\n", "rgb_img" ] }, { "cell_type": "code", "execution_count": 15, "id": "334bc57a", "metadata": {}, "outputs": [], "source": [ "grey_img = rgb_img.convert('L')" ] }, { "cell_type": "code", "execution_count": 16, "id": "d5533bc6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grey_img" ] }, { "cell_type": "code", "execution_count": 17, "id": "d4504ee7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[123, 124, 126, ..., 229, 230, 230],\n", " [122, 124, 125, ..., 229, 230, 230],\n", " [121, 122, 124, ..., 229, 230, 230],\n", " ...,\n", " [119, 119, 119, ..., 84, 82, 91],\n", " [119, 119, 119, ..., 67, 61, 64],\n", " [119, 119, 119, ..., 79, 60, 58]], dtype=uint8)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "grey_img_array = np.array(grey_img)\n", "grey_img_array" ] }, { "cell_type": "code", "execution_count": 18, "id": "a132df98", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 250)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grey_img_array.shape" ] }, { "cell_type": "code", "execution_count": null, "id": "b571aa29", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 19, "id": "9fd64c74", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "# Create figure and axes objects\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "bins=[0,50,100,150,200,255]\n", "ax.hist(x=grey_img_array, bins=bins)\n", "\n", "\n", "# add title\n", "plt.title(\"Histogram of a Grey Scale Image\")\n", "\n", "plt.xlabel(\"Grey Levels\")\n", "plt.ylabel('Pixel Frequency')\n", "plt.grid(True)\n", "# show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "b841d5a7", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }