diff --git a/module2/exo3/exercice.ipynb b/module2/exo3/exercice.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..03f2d261eac3f929e24debf2530038c16b4402b9 100644 --- a/module2/exo3/exercice.ipynb +++ b/module2/exo3/exercice.ipynb @@ -1,5 +1,85 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "# Given data set\n", + "data_set = [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]\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "# Sequence plot\n", + "plt.figure(figsize=(12, 4))\n", + "plt.plot(data_set, marker='o', linestyle='-', color='b')\n", + "plt.title('Sequence Plot of the Dataset')\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Values')\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Histogram\n", + "plt.figure(figsize=(10, 6))\n", + "plt.hist(data_set, bins=20, color='skyblue', edgecolor='black')\n", + "plt.title('Histogram of the Dataset')\n", + "plt.xlabel('Values')\n", + "plt.ylabel('Frequency')\n", + "plt.grid(axis='y', alpha=0.75)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +96,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } -