{
"cells": [
{
"cell_type": "markdown",
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"metadata": {},
"source": [
"# Descriptive Distributions\n"
]
},
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"cell_type": "code",
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"id": "fe760cc2-6988-4403-b166-d3266457a732",
"metadata": {
"execution": {
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"source": [
"### headers\n",
"import numpy as np\n",
"\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"id": "e2107165",
"metadata": {},
"source": [
"```{contents}\n",
":local:\n",
":depth: 2\n",
"```\n"
]
},
{
"cell_type": "markdown",
"id": "8bf969d4",
"metadata": {},
"source": [
"This section uses numeric summaries, visualizations, and common distribution families to describe observed data and simulated outcomes. We continue with the `tips` data from the previous section."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f5b208a1",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-19T20:55:01.006776Z",
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"outputs": [],
"source": [
"tips = sns.load_dataset('tips')"
]
},
{
"cell_type": "markdown",
"id": "acbc0c6c-7979-41e3-ab5e-b79f358aff45",
"metadata": {},
"source": [
"## Descriptive Statistics\n",
"\n",
"`df.describe()` gives you the descriptive statistics of the dataset.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "47985406-a389-430a-a813-28bbc38797ea",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-19T20:55:01.017285Z",
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"shell.execute_reply": "2026-10-19T20:55:01.033406Z"
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"tags": []
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"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" total_bill | \n",
" tip | \n",
" size | \n",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 244.000000 | \n",
" 244.000000 | \n",
" 244.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 19.785943 | \n",
" 2.998279 | \n",
" 2.569672 | \n",
"
\n",
" \n",
" | std | \n",
" 8.902412 | \n",
" 1.383638 | \n",
" 0.951100 | \n",
"
\n",
" \n",
" | min | \n",
" 3.070000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 25% | \n",
" 13.347500 | \n",
" 2.000000 | \n",
" 2.000000 | \n",
"
\n",
" \n",
" | 50% | \n",
" 17.795000 | \n",
" 2.900000 | \n",
" 2.000000 | \n",
"
\n",
" \n",
" | 75% | \n",
" 24.127500 | \n",
" 3.562500 | \n",
" 3.000000 | \n",
"
\n",
" \n",
" | max | \n",
" 50.810000 | \n",
" 10.000000 | \n",
" 6.000000 | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" mean | \n",
" median | \n",
" std (SD) | \n",
" IQR | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 19.785943 | \n",
" 17.795 | \n",
" 8.902412 | \n",
" 10.78 | \n",
"
\n",
" \n",
"
\n",
"