diff --git a/module2/exo3/exercice.ipynb b/module2/exo3/exercice.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..a294765f59559b1aad01f382cf5d108f12839881 100644 --- a/module2/exo3/exercice.ipynb +++ b/module2/exo3/exercice.ipynb @@ -1,5 +1,67 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "v = pd.Series([14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, 7.3, 9.8, 10.9,12.2, 9.9, 2.9, 2.8, 15.4, 15.7, 9.7, 13.1, 13.2, 12.3, 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figure1 = plt.plot(v)\n", + "plt.grid(True, linestyle='--')\n", + "plt.xlim([0,100])\n", + "plt.ylim([0,25])\n", + "plt.show()\n", + "\n", + "figure2 = plt.hist(v, rwidth=0.9)\n", + "plt.grid(True, linestyle='--')" + ] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +78,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } -