diff --git a/module2/exo3/exercice.ipynb b/module2/exo3/exercice.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..d5fc2db5b3c3e4548235affdd5eb47a916b6a17c 100644 --- a/module2/exo3/exercice.ipynb +++ b/module2/exo3/exercice.ipynb @@ -1,5 +1,88 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6571: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", + " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", + "/opt/conda/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "# Données\n", + "data = np.array([\n", + " 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,\n", + " 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,\n", + " 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,\n", + " 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,\n", + " 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,\n", + " 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,\n", + " 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0\n", + "])\n", + "\n", + "# 1. Séquence plot (valeurs dans l'ordre)\n", + "plt.figure(figsize=(12, 4))\n", + "plt.plot(data, marker='o', linestyle='-', color='blue', markersize=4)\n", + "plt.title(\"Séquence des données\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Valeur\")\n", + "plt.grid(True, linestyle='--', alpha=0.7)\n", + "plt.show()\n", + "\n", + "# 2. Histogramme\n", + "plt.figure(figsize=(12, 4))\n", + "sns.distplot(data, bins=15, kde=True, color='green', hist_kws={'edgecolor': 'black'})\n", + "plt.title(\"Histogramme des données\")\n", + "plt.xlabel(\"Valeur\")\n", + "plt.ylabel(\"Fréquence\")\n", + "plt.grid(True, linestyle='--', alpha=0.7)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +99,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } -