From aad8f502adc994a6e617861555298babbe3c1af4 Mon Sep 17 00:00:00 2001 From: 8f58c45416ea18ceaeb8442789356f5d <8f58c45416ea18ceaeb8442789356f5d@app-learninglab.inria.fr> Date: Sat, 4 Oct 2025 21:51:55 +0000 Subject: [PATCH] =?UTF-8?q?exercice=20sur=20les=20graphies=20de=20Playfair?= =?UTF-8?q?=20finalis=C3=A9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- module3/exo3/exercice_fr.ipynb | 336 ++++++++++++++++++++++++++++++++- 1 file changed, 333 insertions(+), 3 deletions(-) diff --git a/module3/exo3/exercice_fr.ipynb b/module3/exo3/exercice_fr.ipynb index 0bbbe37..428bdb2 100644 --- a/module3/exo3/exercice_fr.ipynb +++ b/module3/exo3/exercice_fr.ipynb @@ -1,5 +1,336 @@ { - "cells": [], + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "

William Playfair — Blé & Salaires (1565–1821)

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October 04, 2025

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\n", + "\n", + "Notebook en **trois parties** :\n", + "1) **Reproduction** du graphique de Playfair (barres blé + surface/courbe salaires).\n", + "2) **Présentation améliorée** : axes jumeaux avec **unités correctes**.\n", + "3) **Pouvoir d’achat** : présentation avec **bulles de différentes tailles et dégradé de couleurs** (taille = pouvoir d’achat, couleur = année).\n", + "\n", + "**Rappels d’unités** : 1 £ = 20 shillings (s), 1 s = 12 pence (d) — Prix blé : s/quarter (≈6.8 kg) — Salaires : s/semaine." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "pd.set_option('display.max_rows', 12)\n", + "pd.set_option('display.precision', 3)\n", + "KG_PER_QUARTER = 6.8\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Chargement des données" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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rownamesyearwheatwages
01156541.05.00
12157045.05.05
23157542.05.08
34158049.05.12
45158541.55.15
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" + ], + "text/plain": [ + " rownames year wheat wages\n", + "0 1 1565 41.0 5.00\n", + "1 2 1570 45.0 5.05\n", + "2 3 1575 42.0 5.08\n", + "3 4 1580 49.0 5.12\n", + "4 5 1585 41.5 5.15" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Années: 1565 → 1821\n", + "Nb. valeurs manquantes (wages): 3\n" + ] + } + ], + "source": [ + "URL = 'https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Wheat.csv'\n", + "df = pd.read_csv(URL)\n", + "df.columns = [c.strip() for c in df.columns]\n", + "df = df.rename(columns={'Year':'year','Wheat':'wheat','Wages':'wages'})\n", + "df['year'] = pd.to_numeric(df['year'], errors='coerce').astype('Int64')\n", + "df['wheat'] = pd.to_numeric(df['wheat'], errors='coerce')\n", + "df['wages'] = pd.to_numeric(df['wages'], errors='coerce')\n", + "df = df.sort_values('year').reset_index(drop=True)\n", + "display(df.head())\n", + "print('Années:', int(df['year'].min()), '→', int(df['year'].max()))\n", + "print('Nb. valeurs manquantes (wages):', df['wages'].isna().sum())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Partie 1 — Reproduction du graphique de Playfair\n", + "Barres pour le **prix du blé** et **surface bleue + courbe rouge** pour les **salaires**, superposées sur **un seul graphique** avec une **échelle commune en shillings**." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "years = df['year'].astype(float).values\n", + "wheat = df['wheat'].values\n", + "wages = df['wages'].values\n", + "\n", + "year_diffs = np.diff(years)\n", + "default_width = np.nanmedian(year_diffs) if len(year_diffs)>0 else 5.0\n", + "bar_width = 0.9 * default_width\n", + "\n", + "fig, ax = plt.subplots(figsize=(12, 6))\n", + "ax.bar(years, wheat, width=bar_width, align='center', edgecolor='black', linewidth=0.5, alpha=0.5, label='Blé (s/quarter)')\n", + "mask = ~np.isnan(wages)\n", + "years_w = years[mask]\n", + "wages_w = wages[mask]\n", + "ax.fill_between(years_w, wages_w, 0, alpha=0.8, label='Salaire (surface, s/semaine)')\n", + "ax.plot(years_w, wages_w, color='red', linewidth=2.0, label='Salaire (courbe, s/semaine)')\n", + "ax.set_title(\"Reproduction Playfair : blé (barres) + salaires (surface & courbe)\")\n", + "ax.set_xlabel('Année')\n", + "ax.set_ylabel('Shillings (échelle commune)')\n", + "ax.grid(True, linestyle=':')\n", + "ax.set_xlim(years.min() - default_width, years.max() + default_width)\n", + "ax.legend(loc='upper left')\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ce graphique juxtapose le **coût du blé** (barres) et le **salaire** (surface + courbe) sur la **même échelle** en shillings. On perçoit la dynamique conjointe et l’augmentation progressive des salaires relativement aux niveaux de prix." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Partie 2 — Présentation améliorée (axes jumeaux & unités correctes)\n", + "barres pour le blé et marqueurs pour les salaires, avec **deux ordonnées** et des **couleurs associées aux axes**." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Graphique — Barres (blé) + marqueurs (salaires), couleurs = axes" + ] + }, + { + "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": [ + "fig, ax_left = plt.subplots(figsize=(12, 5))\n", + "ax_right = ax_left.twinx()\n", + "\n", + "color_left = 'tab:blue' # blé\n", + "color_right = 'tab:red' # salaires\n", + "\n", + "ax_left.bar(years, wheat, width=bar_width, align='center', color=color_left)\n", + "mask = ~np.isnan(wages)\n", + "ax_right.plot(years[mask], wages[mask], marker='o', linestyle='-', color=color_right)\n", + "\n", + "ax_left.set_xlabel('Année')\n", + "ax_left.set_ylabel('Prix du blé (shillings / quarter)', color=color_left)\n", + "ax_right.set_ylabel('Salaire hebdomadaire (shillings / semaine)', color=color_right)\n", + "ax_left.tick_params(axis='y', colors=color_left)\n", + "ax_right.tick_params(axis='y', colors=color_right)\n", + "ax_left.set_title('Axes jumeaux — barres blé (bleu) + marqueurs salaires (rouge)')\n", + "ax_left.grid(True, linestyle=':')\n", + "ax_left.set_xlim(years.min() - default_width, years.max() + default_width)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L’**axe gauche (bleu)** encode le **prix du blé** et l’**axe droit (rouge)** encode le **salaire**. L’appariement des couleurs aux **étiquettes d’axes** facilite la lecture et distingue clairement les unités." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Partie 3 — Pouvoir d’achat\n", + "On calcule le **pouvoir d’achat** (kg de blé/semaine) et on trace un **diagramme en bulles** : taille = pouvoir d’achat, couleur = année." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['purchasing_power_kg_per_week'] = (df['wages'] / df['wheat']) * KG_PER_QUARTER\n", + "mask = (~df['wages'].isna()) & (~df['wheat'].isna())\n", + "wages_clean = df.loc[mask, 'wages'].values\n", + "wheat_clean = df.loc[mask, 'wheat'].values\n", + "years_clean = df.loc[mask, 'year'].astype(float).values\n", + "pa_clean = df.loc[mask, 'purchasing_power_kg_per_week'].values\n", + "sizes = 20 + 80 * (pa_clean - np.nanmin(pa_clean)) / (np.nanmax(pa_clean) - np.nanmin(pa_clean) + 1e-9)\n", + "\n", + "fig, ax = plt.subplots(figsize=(7, 6))\n", + "sc = ax.scatter(wheat_clean, wages_clean, s=sizes, c=years_clean, alpha=0.7)\n", + "ax.set_xlabel('Prix du blé (shillings / quarter)')\n", + "ax.set_ylabel('Salaire hebdomadaire (shillings / semaine)')\n", + "ax.set_title('Salaire vs Prix du blé — taille = pouvoir d\\'achat, couleur = année')\n", + "ax.grid(True, linestyle=':')\n", + "cb = plt.colorbar(sc, ax=ax)\n", + "cb.set_label('Année')\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les **grosses bulles** indiquent un **pouvoir d’achat** élevé (beaucoup de kg de blé/semaine). La **couleur** encode la **chronologie** : on lit la progression historique sans afficher l’axe du temps." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +347,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - -- 2.18.1