Population mean and std

session-2-intuition/sampling-variability.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "0237d0fb",
+   "metadata": {},
+   "source": [
+    "# Sampling variability\n",
+    "We create population (known distribution), then repeatedly take random samples and computes the sample mean. Then, we compare how variability changes for different sample sizes (n). "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "aa141540",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(np.float64(3.2549582990800525), np.float64(2.13814149865377))"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "import matplotlib.pyplot as plt\n",
+    "rng = np.random.default_rng(7)\n",
+    "population = rng.lognormal(mean=1.0, sigma=0.6, size=200_000)\n",
+    "popMu = population.mean()\n",
+    "popSD = population.std(ddof=0)\n",
+    "popMu, popSD"
+   ]
+  }
+ ],
+ "metadata": {
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+   "language": "python",
+   "name": "python3"
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+}