Skip to content
Projects
Groups
Snippets
Help
Loading...
Help
Submit feedback
Contribute to GitLab
Sign in
Toggle navigation
M
mooc-rr-ressources
Project
Project
Details
Activity
Releases
Cycle Analytics
Repository
Repository
Files
Commits
Branches
Tags
Contributors
Graph
Compare
Charts
Issues
0
Issues
0
List
Board
Labels
Milestones
Merge Requests
0
Merge Requests
0
Wiki
Wiki
Snippets
Snippets
Members
Members
Collapse sidebar
Close sidebar
Activity
Graph
Charts
Create a new issue
Commits
Issue Boards
Open sidebar
25efbdf864fd2ee93bfa85843f00803c
mooc-rr-ressources
Commits
6cff8551
Commit
6cff8551
authored
Jun 02, 2024
by
25efbdf864fd2ee93bfa85843f00803c
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
figures
parent
6aac5265
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
143 additions
and
0 deletions
+143
-0
calcul_statistiques.ipynb
documents/notebooks/calcul_statistiques.ipynb
+143
-0
No files found.
documents/notebooks/calcul_statistiques.ipynb
0 → 100644
View file @
6cff8551
{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Moyenne : 14.113000000000001\n",
"Écart-type : 4.312369534258399\n",
"Valeur minimale : 2.8\n",
"Médiane : 14.5\n",
"Valeur maximale : 23.4\n"
]
}
],
"source": [
"# Importer les bibliothèques nécessaires\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Données fournies\n",
"data = [\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, \n",
" 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, \n",
" 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, \n",
" 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, \n",
" 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, \n",
" 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, \n",
" 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",
"\n",
"# Calcul des statistiques\n",
"mean_value = np.mean(data)\n",
"std_dev = np.std(data)\n",
"min_value = np.min(data)\n",
"median_value = np.median(data)\n",
"max_value = np.max(data)\n",
"\n",
"# Afficher les résultats\n",
"print(\"Moyenne :\", mean_value)\n",
"print(\"Écart-type :\", std_dev)\n",
"print(\"Valeur minimale :\", min_value)\n",
"print(\"Médiane :\", median_value)\n",
"print(\"Valeur maximale :\", max_value)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# a. Affichage graphique de la séquence des données\n",
"plt.figure(figsize=(10, 5))\n",
"plt.plot(data, marker='o')\n",
"plt.title('Sequence Plot')\n",
"plt.xlabel('Index')\n",
"plt.ylabel('Value')\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# b. Affichage graphique de l'histogramme des données\n",
"plt.figure(figsize=(10, 5))\n",
"plt.hist(data, bins=20, edgecolor='black')\n",
"plt.title('Histogramme')\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Frequency')\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment