{ "cells": [ { "cell_type": "code", "execution_count": 2, "id": "e1d8ac61-59a5-4fcb-bedb-96e824f0fa37", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "============================================================\n", "VARIANCE AND STANDARD DEVIATION TUTORIAL\n", "============================================================\n", "\n", "### SECTION 1: What is Variance and Standard Deviation? ###\n", "\n", "Dataset 1 - Low Spread:\n", " Mean: 49.48\n", " Variance: 20.62\n", " Standard Deviation: 4.54\n", "\n", "Dataset 2 - High Spread:\n", " Mean: 50.33\n", " Variance: 204.63\n", " Standard Deviation: 14.31\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Key Insight: Both datasets have similar means, but very different spreads!\n", "\n", "\n", "### SECTION 2: Manual Calculation ###\n", "\n", "Dataset: [2 4 4 4 5 5 7 9]\n", "Number of values (n): 8\n", "\n", "Step 1 - Mean: 5.00\n", "\n", "Step 2 - Deviations from mean:\n", " Value 2: 2 - 5.00 = -3.00\n", " Value 4: 4 - 5.00 = -1.00\n", " Value 4: 4 - 5.00 = -1.00\n", " Value 4: 4 - 5.00 = -1.00\n", " Value 5: 5 - 5.00 = 0.00\n", " Value 5: 5 - 5.00 = 0.00\n", " Value 7: 7 - 5.00 = 2.00\n", " Value 9: 9 - 5.00 = 4.00\n", "\n", "Step 3 - Squared deviations:\n", " (-3.00)² = 9.00\n", " (-1.00)² = 1.00\n", " (-1.00)² = 1.00\n", " (-1.00)² = 1.00\n", " (0.00)² = 0.00\n", " (0.00)² = 0.00\n", " (2.00)² = 4.00\n", " (4.00)² = 16.00\n", "\n", "Step 4 - Variance (s²):\n", " Sum of squared deviations / (n-1)\n", " 32.00 / 7 = 4.57\n", "\n", "Step 5 - Standard Deviation (s):\n", " √4.57 = 2.14\n", "\n", "Verification with NumPy:\n", " np.var(data, ddof=1) = 4.57\n", " np.std(data, ddof=1) = 2.14\n", "\n", "\n", "### SECTION 3: Visualizing Standard Deviation ###\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The Empirical Rule:\n", " • ~68% of data falls within ±1 standard deviation\n", " • ~95% of data falls within ±2 standard deviations\n", " • ~99.7% of data falls within ±3 standard deviations\n", "\n", "\n", "### SECTION 4: Real-World Example - Stock Returns ###\n", "\n", "Stock A (Conservative):\n", " Mean Daily Return: 4.981%\n", " Std Dev (Volatility): 2.047%\n", "\n", "Stock B (Aggressive):\n", " Mean Daily Return: 4.512%\n", " Std Dev (Volatility): 7.846%\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\User\\AppData\\Local\\Temp\\ipykernel_7572\\4142712217.py:223: MatplotlibDeprecationWarning: The 'labels' parameter of boxplot() has been renamed 'tick_labels' since Matplotlib 3.9; support for the old name will be dropped in 3.11.\n", " axes[1, 1].boxplot([stock_a_returns * 100, stock_b_returns * 100],\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "### SECTION 5: Population vs Sample Variance ###\n", "\n", "Population: [ 1 2 3 4 5 6 7 8 9 10]\n", "\n", "Population Variance (σ²) - divide by n:\n", " 8.25\n", "\n", "Sample Variance (s²) - divide by n-1:\n", " 9.17\n", "\n", "Why n-1? Bessel's correction accounts for bias when estimating\n", "population variance from a sample.\n", "\n", "\n", "============================================================\n", "KEY TAKEAWAYS\n", "============================================================\n", "\n", "1. VARIANCE (σ² or s²):\n", " - Average of squared deviations from the mean\n", " - Units are squared (e.g., dollars²)\n", " - Larger variance = more spread out data\n", "\n", "2. STANDARD DEVIATION (σ or s):\n", " - Square root of variance\n", " - Same units as original data\n", " - More interpretable than variance\n", "\n", "3. WHY THEY MATTER:\n", " - Measure risk/volatility in finance\n", " - Assess data quality and consistency\n", " - Compare variability between datasets\n", " - Foundation for many statistical tests\n", "\n", "4. REMEMBER:\n", " - Use ddof=1 for sample statistics (most common)\n", " - Use ddof=0 for population statistics\n", " - Larger std dev = more uncertainty/risk\n", "\n" ] } ], "source": [ "# Variance and Standard Deviation Tutorial\n", "# A comprehensive lesson on understanding spread in data\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy import stats\n", "\n", "# Set style for better-looking plots\n", "plt.style.use('seaborn-v0_8-darkgrid')\n", "\n", "print(\"=\" * 60)\n", "print(\"VARIANCE AND STANDARD DEVIATION TUTORIAL\")\n", "print(\"=\" * 60)\n", "\n", "# ============================================================================\n", "# SECTION 1: Understanding the Basics\n", "# ============================================================================\n", "\n", "print(\"\\n### SECTION 1: What is Variance and Standard Deviation? ###\\n\")\n", "\n", "# Create two datasets with same mean but different spreads\n", "np.random.seed(42)\n", "data_low_spread = np.random.normal(50, 5, 100) # mean=50, std=5\n", "data_high_spread = np.random.normal(50, 15, 100) # mean=50, std=15\n", "\n", "print(f\"Dataset 1 - Low Spread:\")\n", "print(f\" Mean: {np.mean(data_low_spread):.2f}\")\n", "print(f\" Variance: {np.var(data_low_spread, ddof=1):.2f}\")\n", "print(f\" Standard Deviation: {np.std(data_low_spread, ddof=1):.2f}\")\n", "\n", "print(f\"\\nDataset 2 - High Spread:\")\n", "print(f\" Mean: {np.mean(data_high_spread):.2f}\")\n", "print(f\" Variance: {np.var(data_high_spread, ddof=1):.2f}\")\n", "print(f\" Standard Deviation: {np.std(data_high_spread, ddof=1):.2f}\")\n", "\n", "# Visualize the difference\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "axes[0].hist(data_low_spread, bins=20, alpha=0.7, color='skyblue', edgecolor='black')\n", "axes[0].axvline(np.mean(data_low_spread), color='red', linestyle='--', linewidth=2, label='Mean')\n", "axes[0].set_title('Low Spread Data (σ ≈ 5)', fontsize=14, fontweight='bold')\n", "axes[0].set_xlabel('Value')\n", "axes[0].set_ylabel('Frequency')\n", "axes[0].legend()\n", "axes[0].grid(alpha=0.3)\n", "\n", "axes[1].hist(data_high_spread, bins=20, alpha=0.7, color='salmon', edgecolor='black')\n", "axes[1].axvline(np.mean(data_high_spread), color='red', linestyle='--', linewidth=2, label='Mean')\n", "axes[1].set_title('High Spread Data (σ ≈ 15)', fontsize=14, fontweight='bold')\n", "axes[1].set_xlabel('Value')\n", "axes[1].set_ylabel('Frequency')\n", "axes[1].legend()\n", "axes[1].grid(alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"\\nKey Insight: Both datasets have similar means, but very different spreads!\")\n", "\n", "# ============================================================================\n", "# SECTION 2: Calculating Variance and Standard Deviation Step-by-Step\n", "# ============================================================================\n", "\n", "print(\"\\n\\n### SECTION 2: Manual Calculation ###\\n\")\n", "\n", "# Simple dataset for manual calculation\n", "simple_data = np.array([2, 4, 4, 4, 5, 5, 7, 9])\n", "\n", "print(f\"Dataset: {simple_data}\")\n", "print(f\"Number of values (n): {len(simple_data)}\")\n", "\n", "# Step 1: Calculate mean\n", "mean = np.mean(simple_data)\n", "print(f\"\\nStep 1 - Mean: {mean:.2f}\")\n", "\n", "# Step 2: Calculate deviations from mean\n", "deviations = simple_data - mean\n", "print(f\"\\nStep 2 - Deviations from mean:\")\n", "for i, (val, dev) in enumerate(zip(simple_data, deviations)):\n", " print(f\" Value {val}: {val} - {mean:.2f} = {dev:.2f}\")\n", "\n", "# Step 3: Square the deviations\n", "squared_deviations = deviations ** 2\n", "print(f\"\\nStep 3 - Squared deviations:\")\n", "for i, (dev, sq_dev) in enumerate(zip(deviations, squared_deviations)):\n", " print(f\" ({dev:.2f})² = {sq_dev:.2f}\")\n", "\n", "# Step 4: Calculate variance (sample variance, using n-1)\n", "variance = np.sum(squared_deviations) / (len(simple_data) - 1)\n", "print(f\"\\nStep 4 - Variance (s²):\")\n", "print(f\" Sum of squared deviations / (n-1)\")\n", "print(f\" {np.sum(squared_deviations):.2f} / {len(simple_data) - 1} = {variance:.2f}\")\n", "\n", "# Step 5: Calculate standard deviation\n", "std_dev = np.sqrt(variance)\n", "print(f\"\\nStep 5 - Standard Deviation (s):\")\n", "print(f\" √{variance:.2f} = {std_dev:.2f}\")\n", "\n", "# Verify with NumPy\n", "print(f\"\\nVerification with NumPy:\")\n", "print(f\" np.var(data, ddof=1) = {np.var(simple_data, ddof=1):.2f}\")\n", "print(f\" np.std(data, ddof=1) = {np.std(simple_data, ddof=1):.2f}\")\n", "\n", "# ============================================================================\n", "# SECTION 3: Visualizing Standard Deviation\n", "# ============================================================================\n", "\n", "print(\"\\n\\n### SECTION 3: Visualizing Standard Deviation ###\\n\")\n", "\n", "# Generate normal distribution\n", "mu = 100\n", "sigma = 15\n", "x = np.linspace(mu - 4*sigma, mu + 4*sigma, 1000)\n", "y = stats.norm.pdf(x, mu, sigma)\n", "\n", "# Create figure\n", "fig, ax = plt.subplots(figsize=(14, 7))\n", "\n", "# Plot the distribution\n", "ax.plot(x, y, 'b-', linewidth=2, label='Normal Distribution')\n", "ax.fill_between(x, y, alpha=0.1, color='blue')\n", "\n", "# Mark mean\n", "ax.axvline(mu, color='red', linestyle='--', linewidth=2, label=f'Mean (μ = {mu})')\n", "\n", "# Mark standard deviations\n", "colors = ['green', 'orange', 'purple']\n", "for i in range(1, 4):\n", " # Positive side\n", " ax.axvline(mu + i*sigma, color=colors[i-1], linestyle=':', linewidth=1.5, \n", " alpha=0.7, label=f'±{i}σ ({mu + i*sigma:.0f})')\n", " # Negative side\n", " ax.axvline(mu - i*sigma, color=colors[i-1], linestyle=':', linewidth=1.5, alpha=0.7)\n", " \n", " # Shade regions\n", " mask = (x >= mu + (i-1)*sigma) & (x <= mu + i*sigma)\n", " ax.fill_between(x[mask], y[mask], alpha=0.2, color=colors[i-1])\n", " mask = (x >= mu - i*sigma) & (x <= mu - (i-1)*sigma)\n", " ax.fill_between(x[mask], y[mask], alpha=0.2, color=colors[i-1])\n", "\n", "# Add percentage labels\n", "ax.text(mu, max(y)*0.5, '68.27%\\n(±1σ)', ha='center', fontsize=11, \n", " bbox=dict(boxstyle='round', facecolor='lightgreen', alpha=0.7))\n", "ax.text(mu + 2*sigma, max(y)*0.2, '95.45%\\n(±2σ)', ha='center', fontsize=11,\n", " bbox=dict(boxstyle='round', facecolor='lightyellow', alpha=0.7))\n", "ax.text(mu + 3*sigma, max(y)*0.05, '99.73%\\n(±3σ)', ha='center', fontsize=11,\n", " bbox=dict(boxstyle='round', facecolor='lightcoral', alpha=0.7))\n", "\n", "ax.set_xlabel('Value', fontsize=12)\n", "ax.set_ylabel('Probability Density', fontsize=12)\n", "ax.set_title('The 68-95-99.7 Rule (Empirical Rule)', fontsize=16, fontweight='bold')\n", "ax.legend(loc='upper right')\n", "ax.grid(alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"The Empirical Rule:\")\n", "print(\" • ~68% of data falls within ±1 standard deviation\")\n", "print(\" • ~95% of data falls within ±2 standard deviations\")\n", "print(\" • ~99.7% of data falls within ±3 standard deviations\")\n", "\n", "# ============================================================================\n", "# SECTION 4: Real-World Example - Stock Prices\n", "# ============================================================================\n", "\n", "print(\"\\n\\n### SECTION 4: Real-World Example - Stock Returns ###\\n\")\n", "\n", "# Simulate stock returns for two companies\n", "days = 252 # trading days in a year\n", "np.random.seed(123)\n", "\n", "stock_a_returns = np.random.normal(0.05, 0.02, days) # Low volatility\n", "stock_b_returns = np.random.normal(0.05, 0.08, days) # High volatility\n", "\n", "# Calculate cumulative returns\n", "stock_a_cumulative = np.cumprod(1 + stock_a_returns) * 100\n", "stock_b_cumulative = np.cumprod(1 + stock_b_returns) * 100\n", "\n", "# Statistics\n", "print(\"Stock A (Conservative):\")\n", "print(f\" Mean Daily Return: {np.mean(stock_a_returns)*100:.3f}%\")\n", "print(f\" Std Dev (Volatility): {np.std(stock_a_returns, ddof=1)*100:.3f}%\")\n", "\n", "print(\"\\nStock B (Aggressive):\")\n", "print(f\" Mean Daily Return: {np.mean(stock_b_returns)*100:.3f}%\")\n", "print(f\" Std Dev (Volatility): {np.std(stock_b_returns, ddof=1)*100:.3f}%\")\n", "\n", "# Create comparison plot\n", "fig, axes = plt.subplots(2, 2, figsize=(15, 10))\n", "\n", "# Price evolution\n", "axes[0, 0].plot(stock_a_cumulative, label='Stock A', linewidth=2, color='blue')\n", "axes[0, 0].plot(stock_b_cumulative, label='Stock B', linewidth=2, color='red')\n", "axes[0, 0].set_title('Cumulative Price Performance', fontsize=14, fontweight='bold')\n", "axes[0, 0].set_xlabel('Trading Days')\n", "axes[0, 0].set_ylabel('Price ($)')\n", "axes[0, 0].legend()\n", "axes[0, 0].grid(alpha=0.3)\n", "\n", "# Returns distribution - Stock A\n", "axes[0, 1].hist(stock_a_returns * 100, bins=30, alpha=0.7, color='blue', edgecolor='black')\n", "axes[0, 1].axvline(np.mean(stock_a_returns) * 100, color='red', linestyle='--', \n", " linewidth=2, label=f'Mean: {np.mean(stock_a_returns)*100:.3f}%')\n", "axes[0, 1].set_title('Stock A - Return Distribution', fontsize=14, fontweight='bold')\n", "axes[0, 1].set_xlabel('Daily Return (%)')\n", "axes[0, 1].set_ylabel('Frequency')\n", "axes[0, 1].legend()\n", "axes[0, 1].grid(alpha=0.3)\n", "\n", "# Returns distribution - Stock B\n", "axes[1, 0].hist(stock_b_returns * 100, bins=30, alpha=0.7, color='red', edgecolor='black')\n", "axes[1, 0].axvline(np.mean(stock_b_returns) * 100, color='darkred', linestyle='--', \n", " linewidth=2, label=f'Mean: {np.mean(stock_b_returns)*100:.3f}%')\n", "axes[1, 0].set_title('Stock B - Return Distribution', fontsize=14, fontweight='bold')\n", "axes[1, 0].set_xlabel('Daily Return (%)')\n", "axes[1, 0].set_ylabel('Frequency')\n", "axes[1, 0].legend()\n", "axes[1, 0].grid(alpha=0.3)\n", "\n", "# Box plot comparison\n", "axes[1, 1].boxplot([stock_a_returns * 100, stock_b_returns * 100], \n", " labels=['Stock A', 'Stock B'],\n", " patch_artist=True,\n", " boxprops=dict(facecolor='lightblue'),\n", " medianprops=dict(color='red', linewidth=2))\n", "axes[1, 1].set_title('Risk Comparison (Box Plot)', fontsize=14, fontweight='bold')\n", "axes[1, 1].set_ylabel('Daily Return (%)')\n", "axes[1, 1].grid(alpha=0.3, axis='y')\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ============================================================================\n", "# SECTION 5: Population vs Sample Variance\n", "# ============================================================================\n", "\n", "print(\"\\n\\n### SECTION 5: Population vs Sample Variance ###\\n\")\n", "\n", "population = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])\n", "\n", "print(f\"Population: {population}\")\n", "print(f\"\\nPopulation Variance (σ²) - divide by n:\")\n", "print(f\" {np.var(population, ddof=0):.2f}\")\n", "print(f\"\\nSample Variance (s²) - divide by n-1:\")\n", "print(f\" {np.var(population, ddof=1):.2f}\")\n", "\n", "print(\"\\nWhy n-1? Bessel's correction accounts for bias when estimating\")\n", "print(\"population variance from a sample.\")\n", "\n", "# ============================================================================\n", "# SUMMARY\n", "# ============================================================================\n", "\n", "print(\"\\n\\n\" + \"=\" * 60)\n", "print(\"KEY TAKEAWAYS\")\n", "print(\"=\" * 60)\n", "print(\"\"\"\n", "1. VARIANCE (σ² or s²):\n", " - Average of squared deviations from the mean\n", " - Units are squared (e.g., dollars²)\n", " - Larger variance = more spread out data\n", "\n", "2. STANDARD DEVIATION (σ or s):\n", " - Square root of variance\n", " - Same units as original data\n", " - More interpretable than variance\n", "\n", "3. WHY THEY MATTER:\n", " - Measure risk/volatility in finance\n", " - Assess data quality and consistency\n", " - Compare variability between datasets\n", " - Foundation for many statistical tests\n", "\n", "4. REMEMBER:\n", " - Use ddof=1 for sample statistics (most common)\n", " - Use ddof=0 for population statistics\n", " - Larger std dev = more uncertainty/risk\n", "\"\"\")" ] }, { "cell_type": "code", "execution_count": null, "id": "26ac5752-68da-4110-8fde-f73f614e0f92", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }