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283e86ac264eacf1aab5cf0689db9209
mooc-rr
Commits
42f1824d
Commit
42f1824d
authored
Jun 20, 2025
by
283e86ac264eacf1aab5cf0689db9209
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exercice.ipynb
module2/exo3/exercice.ipynb
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module2/exo3/exercice.ipynb
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42f1824d
{
{
"cells": [],
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid syntax (<ipython-input-2-3a67b8e92bf2>, line 1)",
"output_type": "error",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<ipython-input-2-3a67b8e92bf2>\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m matplotlib inline\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"source": [
"matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"data = [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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 15.7, 10.2, 8.9, 21.0]\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))\n",
"\n",
"ax1.plot(range(len(data)), data, marker='o', linestyle='-', color='blue')\n",
"ax1.set_title(\"Plot de la séquence des données\")\n",
"ax1.set_xlabel(\"Indice\")\n",
"ax1.set_ylabel(\"Valeur\")\n",
"ax1.grid(True)\n",
"\n",
"ax2.hist(data, bins=15, color='orange', edgecolor='black')\n",
"ax2.set_title(\"Histogramme des données\")\n",
"ax2.set_xlabel(\"Valeur\")\n",
"ax2.set_ylabel(\"Fréquence\")\n",
"ax2.grid(True)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"# Tes données\n",
"data = [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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 15.7, 10.2, 8.9, 21.0]\n",
"\n",
"# Création de la figure et des sous-graphes\n",
"fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))\n",
"\n",
"# 1) Plot de la séquence (valeurs en fonction de leur indice)\n",
"ax1.plot(range(len(data)), data, marker='o', linestyle='-', color='blue')\n",
"ax1.set_title(\"Plot de la séquence des données\")\n",
"ax1.set_xlabel(\"Indice\")\n",
"ax1.set_ylabel(\"Valeur\")\n",
"ax1.grid(True)\n",
"\n",
"# 2) Histogramme des données\n",
"ax2.hist(data, bins=15, color='orange', edgecolor='black')\n",
"ax2.set_title(\"Histogramme des données\")\n",
"ax2.set_xlabel(\"Valeur\")\n",
"ax2.set_ylabel(\"Fréquence\")\n",
"ax2.grid(True)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"metadata": {
"kernelspec": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3",
...
@@ -16,10 +117,9 @@
...
@@ -16,10 +117,9 @@
"name": "python",
"name": "python",
"nbconvert_exporter": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"pygments_lexer": "ipython3",
"version": "3.6.
3
"
"version": "3.6.
4
"
}
}
},
},
"nbformat": 4,
"nbformat": 4,
"nbformat_minor": 2
"nbformat_minor": 2
}
}
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