matplotlib_histogram.ipynb

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   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Histograms In MatPlotLib\n",
      "\n",
      "- **Author:** [Chris Albon](http://www.chrisalbon.com/), [@ChrisAlbon](https://twitter.com/chrisalbon)\n",
      "- **Date:** -\n",
      "- **Repo:** [Python 3 code snippets for data science](https://github.com/chrisalbon/code_py)\n",
      "- **Note:** Based on: [Sebastian Raschka](http://nbviewer.ipython.org/github/rasbt/matplotlib-gallery/blob/master/ipynb/barplots.ipynb)."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Preliminaries"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import pandas as pd\n",
      "import matplotlib.pyplot as plt\n",
      "import numpy as np\n",
      "import math\n",
      "\n",
      "# Set ipython's max row display\n",
      "pd.set_option('display.max_row', 1000)\n",
      "\n",
      "# Set iPython's max column width to 50\n",
      "pd.set_option('display.max_columns', 50)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 89
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Create dataframe"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = pd.read_csv('https://www.dropbox.com/s/52cb7kcflr8qm2u/5kings_battles_v1.csv?dl=1')\n",
      "df.head()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>name</th>\n",
        "      <th>year</th>\n",
        "      <th>battle_number</th>\n",
        "      <th>attacker_king</th>\n",
        "      <th>defender_king</th>\n",
        "      <th>attacker_1</th>\n",
        "      <th>attacker_2</th>\n",
        "      <th>attacker_3</th>\n",
        "      <th>attacker_4</th>\n",
        "      <th>defender_1</th>\n",
        "      <th>defender_2</th>\n",
        "      <th>defender_3</th>\n",
        "      <th>defender_4</th>\n",
        "      <th>attacker_outcome</th>\n",
        "      <th>battle_type</th>\n",
        "      <th>major_death</th>\n",
        "      <th>major_capture</th>\n",
        "      <th>attacker_size</th>\n",
        "      <th>defender_size</th>\n",
        "      <th>attacker_commander</th>\n",
        "      <th>defender_commander</th>\n",
        "      <th>summer</th>\n",
        "      <th>location</th>\n",
        "      <th>region</th>\n",
        "      <th>note</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td>    Battle of the Golden Tooth</td>\n",
        "      <td> 298</td>\n",
        "      <td> 1</td>\n",
        "      <td> Joffrey/Tommen Baratheon</td>\n",
        "      <td>               Robb Stark</td>\n",
        "      <td> Lannister</td>\n",
        "      <td>   NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td>     Tully</td>\n",
        "      <td> NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>  win</td>\n",
        "      <td> pitched battle</td>\n",
        "      <td> 1</td>\n",
        "      <td> 0</td>\n",
        "      <td> 15000</td>\n",
        "      <td>  4000</td>\n",
        "      <td>                                   Jaime Lannister</td>\n",
        "      <td>                              Clement Piper, Vance</td>\n",
        "      <td> 1</td>\n",
        "      <td>    Golden Tooth</td>\n",
        "      <td> The Westerlands</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td>   Battle at the Mummer's Ford</td>\n",
        "      <td> 298</td>\n",
        "      <td> 2</td>\n",
        "      <td> Joffrey/Tommen Baratheon</td>\n",
        "      <td>               Robb Stark</td>\n",
        "      <td> Lannister</td>\n",
        "      <td>   NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> Baratheon</td>\n",
        "      <td> NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>  win</td>\n",
        "      <td>         ambush</td>\n",
        "      <td> 1</td>\n",
        "      <td> 0</td>\n",
        "      <td>   NaN</td>\n",
        "      <td>   120</td>\n",
        "      <td>                                    Gregor Clegane</td>\n",
        "      <td>                                  Beric Dondarrion</td>\n",
        "      <td> 1</td>\n",
        "      <td>   Mummer's Ford</td>\n",
        "      <td>  The Riverlands</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td>            Battle of Riverrun</td>\n",
        "      <td> 298</td>\n",
        "      <td> 3</td>\n",
        "      <td> Joffrey/Tommen Baratheon</td>\n",
        "      <td>               Robb Stark</td>\n",
        "      <td> Lannister</td>\n",
        "      <td>   NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td>     Tully</td>\n",
        "      <td> NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>  win</td>\n",
        "      <td> pitched battle</td>\n",
        "      <td> 0</td>\n",
        "      <td> 1</td>\n",
        "      <td> 15000</td>\n",
        "      <td> 10000</td>\n",
        "      <td>                      Jaime Lannister, Andros Brax</td>\n",
        "      <td>                     Edmure Tully, Tytos Blackwood</td>\n",
        "      <td> 1</td>\n",
        "      <td>        Riverrun</td>\n",
        "      <td>  The Riverlands</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td>      Battle of the Green Fork</td>\n",
        "      <td> 298</td>\n",
        "      <td> 4</td>\n",
        "      <td>               Robb Stark</td>\n",
        "      <td> Joffrey/Tommen Baratheon</td>\n",
        "      <td>     Stark</td>\n",
        "      <td>   NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> Lannister</td>\n",
        "      <td> NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td> loss</td>\n",
        "      <td> pitched battle</td>\n",
        "      <td> 1</td>\n",
        "      <td> 1</td>\n",
        "      <td> 18000</td>\n",
        "      <td> 20000</td>\n",
        "      <td> Roose Bolton, Wylis Manderly, Medger Cerwyn, H...</td>\n",
        "      <td> Tywin Lannister, Gregor Clegane, Kevan Lannist...</td>\n",
        "      <td> 1</td>\n",
        "      <td>      Green Fork</td>\n",
        "      <td>  The Riverlands</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> Battle of the Whispering Wood</td>\n",
        "      <td> 298</td>\n",
        "      <td> 5</td>\n",
        "      <td>               Robb Stark</td>\n",
        "      <td> Joffrey/Tommen Baratheon</td>\n",
        "      <td>     Stark</td>\n",
        "      <td> Tully</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> Lannister</td>\n",
        "      <td> NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>NaN</td>\n",
        "      <td>  win</td>\n",
        "      <td>         ambush</td>\n",
        "      <td> 1</td>\n",
        "      <td> 1</td>\n",
        "      <td>  1875</td>\n",
        "      <td>  6000</td>\n",
        "      <td>                         Robb Stark, Brynden Tully</td>\n",
        "      <td>                                   Jaime Lannister</td>\n",
        "      <td> 1</td>\n",
        "      <td> Whispering Wood</td>\n",
        "      <td>  The Riverlands</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "                            name  year  battle_number  \\\n",
        "0     Battle of the Golden Tooth   298              1   \n",
        "1    Battle at the Mummer's Ford   298              2   \n",
        "2             Battle of Riverrun   298              3   \n",
        "3       Battle of the Green Fork   298              4   \n",
        "4  Battle of the Whispering Wood   298              5   \n",
        "\n",
        "              attacker_king             defender_king attacker_1 attacker_2  \\\n",
        "0  Joffrey/Tommen Baratheon                Robb Stark  Lannister        NaN   \n",
        "1  Joffrey/Tommen Baratheon                Robb Stark  Lannister        NaN   \n",
        "2  Joffrey/Tommen Baratheon                Robb Stark  Lannister        NaN   \n",
        "3                Robb Stark  Joffrey/Tommen Baratheon      Stark        NaN   \n",
        "4                Robb Stark  Joffrey/Tommen Baratheon      Stark      Tully   \n",
        "\n",
        "  attacker_3 attacker_4 defender_1 defender_2  defender_3  defender_4  \\\n",
        "0        NaN        NaN      Tully        NaN         NaN         NaN   \n",
        "1        NaN        NaN  Baratheon        NaN         NaN         NaN   \n",
        "2        NaN        NaN      Tully        NaN         NaN         NaN   \n",
        "3        NaN        NaN  Lannister        NaN         NaN         NaN   \n",
        "4        NaN        NaN  Lannister        NaN         NaN         NaN   \n",
        "\n",
        "  attacker_outcome     battle_type  major_death  major_capture  attacker_size  \\\n",
        "0              win  pitched battle            1              0          15000   \n",
        "1              win          ambush            1              0            NaN   \n",
        "2              win  pitched battle            0              1          15000   \n",
        "3             loss  pitched battle            1              1          18000   \n",
        "4              win          ambush            1              1           1875   \n",
        "\n",
        "   defender_size                                 attacker_commander  \\\n",
        "0           4000                                    Jaime Lannister   \n",
        "1            120                                     Gregor Clegane   \n",
        "2          10000                       Jaime Lannister, Andros Brax   \n",
        "3          20000  Roose Bolton, Wylis Manderly, Medger Cerwyn, H...   \n",
        "4           6000                          Robb Stark, Brynden Tully   \n",
        "\n",
        "                                  defender_commander  summer         location  \\\n",
        "0                               Clement Piper, Vance       1     Golden Tooth   \n",
        "1                                   Beric Dondarrion       1    Mummer's Ford   \n",
        "2                      Edmure Tully, Tytos Blackwood       1         Riverrun   \n",
        "3  Tywin Lannister, Gregor Clegane, Kevan Lannist...       1       Green Fork   \n",
        "4                                    Jaime Lannister       1  Whispering Wood   \n",
        "\n",
        "            region note  \n",
        "0  The Westerlands  NaN  \n",
        "1   The Riverlands  NaN  \n",
        "2   The Riverlands  NaN  \n",
        "3   The Riverlands  NaN  \n",
        "4   The Riverlands  NaN  "
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Make plot with bins of fixed size"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Make two variables of the attacker and defender size, but leaving out\n",
      "# cases when there are over 10000 attackers\n",
      "data1 = df['attacker_size'][df['attacker_size'] < 90000]\n",
      "data2 = df['defender_size'][df['attacker_size'] < 90000]\n",
      "\n",
      "# Create bins of 2000 each\n",
      "bins = np.arange(data1.min(), data2.max(), 2000) # fixed bin size\n",
      "\n",
      "# Plot a histogram of attacker size\n",
      "plt.hist(data1, \n",
      "         bins=bins, \n",
      "         alpha=0.5, \n",
      "         color='#EDD834',\n",
      "         label='Attacker')\n",
      "\n",
      "# Plot a histogram of defender size\n",
      "plt.hist(data2, \n",
      "         bins=bins, \n",
      "         alpha=0.5, \n",
      "         color='#887E43',\n",
      "         label='Defender')\n",
      "\n",
      "# Set the x and y boundaries of the figure\n",
      "plt.ylim([0, 10])\n",
      "\n",
      "# Set the title and labels\n",
      "plt.title('Histogram of Attacker and Defender Size')\n",
      "plt.xlabel('Number of troops')\n",
      "plt.ylabel('Number of battles')\n",
      "plt.legend(loc='upper right')\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kRCEiIp6UKERExJMShYiIeFKiEBERT0oUIiLiSYlCREQ8KVGIiIgnJQoREfEU\nRKJoA8wHVgIrgOEBxCAiIj55veEuVg4Co4ClQCPgc+A9YHUAsYiISAWCqFFsxZIEwB4sQbQKIA4R\nEfEh6D6KNOCnwMKA4xARkXIE0fQU0Qj4BzACq1mUMv2lktxx1hkncNaZrasvMsd/123kd/fOqvb1\num3Y+F2g64/45NMvGDXitkBjWLr0C6668vxAY5DSpkwez769OYHG0KBhczLGPRBoDEHJysoiKysr\n5usJKlHUAV4HXgTmRJvhhoHnVWtA0RXSv9/pgUaQ9WE4um5+LPgh8EJ60aJPA12/HGrf3hwyRnUJ\nNIYpj34W6PqDlJ6eTnp6evH4xIkTY7KeIJqe4oDngVXAYwGsX0REDkMQiaIbMAi4EFjifC4JIA4R\nEfEhiKanjwi+E11ERHxSgS0iIp6UKERExJMShYiIeFKiEBERT0oUIiLiSYlCREQ8KVGIiIgnJQoR\nEfGkRCEiIp6UKERExJMShYiIeFKiEBERT0oUIiLiSYlCREQ8KVGIiIgnJQoREfGkRCEiIp6CeMOd\nHIa8vO/53b2zgg6D7dt3Bh2CuEzMvJdduTuCDoPlX34Bo7oEGsPnn3/OfeNvDTQGgAYNm5Mx7oGg\nw4gJJYqQS0yMo3+/04MOg/fnrw46BHHZlbuDq648P+gwWLLkk6BDID7uABkBJyuAKY9+FnQIMaOm\nJxER8aREISIinpQoRETEkxKFiIh4UqIQERFPShQiIuJJiUJERDwpUYiIiCclChER8aREISIinpQo\nRETEkxKFiIh4UqIQERFPShQiIuJJiUJERDwpUYiIiKegEsUlwBrgv8DvAopBRER8CCJRJAB/wZJF\nJ+B64NQA4qg1li7/JugQaowlS/Wmv6q04OP/DToE8SGIRHEusA7YABwEZgFXBBBHrbH0y+ygQ6gx\nlixdE3QINcqHH68NOgTxIYhEcQKw2TX+jTNNRERCKDGAdRb5mWnmy0tiHYenHTv3AnGBxiAiEgZB\nlIRdgUysjwIgAygE/uCaZx3QvnrDEhE56q0HTgo6iKqQiG1MGlAXWIo6s0VEpIxLgf/Fag4ZAcci\nIiIiIiI1iW7G82cDsBxYAixypjUD3gPWAvOAZNf8Gdg+XQP0cU0/G/jS+e5PMY04PKYB27DtjqjK\nfVcPeMWZ/v+BtlUbfuhE25+Z2BWNS5zPpa7vtD+9tQHmAyuBFcBwZ7qOUUcC1hyVBtRB/RdevsYO\nHLeHgHuTuB9gAAAFa0lEQVSc4d8BDzrDnbB9WQfbt+souZBhEXZvC8DblFxkUJP1AH5K6YKtKvfd\n7cATzvB12L1CNVm0/TkBGB1lXu3Pih0PnOUMN8Ka6U9Fx2ix84F3XONjnY8c6mvg2DLT1gAtnOHj\nnXGwsw137ewd7OqzloD7VuMBwFNVHmk4pVG6YKvKffcOcJ4znAjkVFXQIZbGoYliTJT5tD8P3xyg\nNwEeo2F7KKBuxvOvCHgf+Ay4xZnWAmsCwPkbOahaYfsyIrJfy07Ppvbu76rcd+7juADI49DaX21w\nJ7AMeJ6SZhLtz8OThtXWFhLgMRq2ROHrZjwBoBt2AF0KDMOq/25FaH8eKe27ynsSaIc1oWwBHg42\nnKNSI+B1YASQX+a7aj1Gw5YosrGOnIg2lM6IUmKL8zcHmI21Q27DqqRg1c7tznDZ/doa26/ZzrB7\nem19MFRV7LtvXL9JdYYTgSbAzqoPOdS2U1KYPUdJO7n2pz91sCTxAtb0BAEeo2FLFJ8BHSi5Ge86\n4M0gAwqpBkCSM9wQu8rhS2xfDXWmD6XkAHsTa5+si53ldcA6ubYCu7G2yjhgsOs3tU1V7Ls3oizr\nauDfMY49jFq6hn9JSf+F9mfF4rDmulXAY67pOkZddDNexdphVzksxS6fi+ynZli/RbTL58Zh+3QN\n8HPX9Mjlc+uAx2MadXi8DHwL/IC1095I1e67esCrlFx6mBaDbQiTsvvzJmAmdvn2MqxAa+GaX/vT\nW3fssUZLKbm8+BJ0jIqIiIiIiIiIiIiIiIiIiIiIiIiIiIjUJIXAH13jd2EPlqsK04GrqmhZXq7B\nbpIqe/NSW+D6ali/SEyE7c5sqb1+wO7gjTwRtyqfY1OZZSUexrw3A78GLiozvR3wqypYvkgglCgk\nLA4CzwCjonw3ndI1gj3O33TgA+zO3/XY8/kHY48vWA6c6PpNb2Axdtf/L5xpCcBUZ/5lwK2u5X6I\nPe5gZZR4rneW/yUl7wS4H3tQ4zTsvQFuD2IPbVwCjMQenfAmVvN4D2jqbMMy4FPgDOd3zcqZnok9\nA+gT7C7dXzvTWwILnPV8id3hKyJSY+Rjz6/6GmiMvcsg0vT0N0onisiTNNOBXOzxEHWxB51lOt8N\nBx51hqdjL20BOAl7zEQ9LDGMd6bXwxJJmrPcPUR/61crYCNW80nACvsrnO/mA52j/KYn8JZr/AYn\nhsgjGP4M3OcMX4gV9F7TM53hek4cm7AkMQZ7lAPYs30aRYlF5LCp2ithko89I2g48L3P3yym5Bn9\n64B3neEVWOEK1vT0qmuer4BTsIcpnoE9FA0sQZ2EPZ9/EZYQyjoHSwjfOeMvAT+j5GFrcVF+U3Za\nEVaT2OWMdwP6O8PzscI/yWN6kbO+A85nPvZ01kVYjaYOJTURkUpT05OEzWNYW39D17QCSo7VeKz2\nEHHANVzoGi/E+0Qo0m9xB/Zej58C7bGHrgHs9fidu+CPo3QfiN/+kLLLj5ZgvKaXVYg1l/XAalbT\nsWY4kUpTopCwycXO/m+mpNDdgD0FE+By7Iz5cMRhVyTFYcngROwpm+9i7w6OJJSO2CPcvSzGmpIi\nTU8DsH4SL7speSx8JB63D4GBznA69o6RfI/pcVhzV6TpKd2JK9WZ5znn89MK4hLxRU1PEhbuM/GH\nsTP9iGexppal2Lt+95Tzu7LLK3INb8KaZhoDv8GusnoO65P4Ait8t2NXXnm9PWwL9h73+c5v5lK6\n/yGa5cCPTvzTsWToXn4m1mS0DKtpDK1gepGzzPlACjAJe/fAEOBu7MKAfGdcRERqoQlYx7VItVDT\nk8jRSe/0FhERERERERERERERERERERERERERETl8/wdefJdzOVauoQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10936d450>"
       ]
      }
     ],
     "prompt_number": 87
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Make plot with fixed number of bins"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Make two variables of the attacker and defender size, but leaving out\n",
      "# cases when there are over 10000 attackers\n",
      "data1 = df['attacker_size'][df['attacker_size'] < 90000]\n",
      "data2 = df['defender_size'][df['attacker_size'] < 90000]\n",
      "\n",
      "# Create 10 bins with the minimum \n",
      "# being the smallest value of data1 and data2 \n",
      "bins = np.linspace(min(data1 + data2), \n",
      "                   # the max being the highest value\n",
      "                   max(data1 + data2),\n",
      "                   # and divided into 10 bins\n",
      "                   10)\n",
      "\n",
      "# Plot a histogram of attacker size\n",
      "plt.hist(data1, \n",
      "         # with bins defined as\n",
      "         bins=bins, \n",
      "         # with alpha\n",
      "         alpha=0.5, \n",
      "         # with color\n",
      "         color='#EDD834',\n",
      "         # labelled attacker\n",
      "         label='Attacker')\n",
      "\n",
      "# Plot a histogram of defender size\n",
      "plt.hist(data2, \n",
      "         # with bins defined as\n",
      "         bins=bins, \n",
      "         # with alpha\n",
      "         alpha=0.5, \n",
      "         # with color\n",
      "         color='#887E43',\n",
      "         # labeled defender\n",
      "         label='Defender')\n",
      "\n",
      "# Set the x and y boundaries of the figure\n",
      "plt.ylim([0, 10])\n",
      "\n",
      "# Set the title and labels\n",
      "plt.title('Histogram of Attacker and Defender Size')\n",
      "plt.xlabel('Number of troops')\n",
      "plt.ylabel('Number of battles')\n",
      "plt.legend(loc='upper right')\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10830ba10>"
       ]
      }
     ],
     "prompt_number": 108
    }
   ],
   "metadata": {}
  }
 ]
}