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Statistics & Probability

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The original course material this repository was built from — a full-semester introductory statistics course (15 weeks) with a textbook, weekly slides, graded assignments, discussions, and a three-part business project.

Note

The source files — the textbook PDF, weekly slide decks, assignment workbooks, and graded coursework — are kept local only. An inner .gitignore excludes *.pdf, *.doc(x), *.ppt(x), *.xls(x), and *.txt from the repository, so none of it appears on GitHub or the published site. This page is the section's public landing.


What Lives Here (Locally)

Folder Contents
Book/ Introductory Statistics (textbook PDF) and the Try-It answer key
Week 1/Week 15/ Per-week reading extract, lecture slides, and assignment workbooks
Discussion/ Four discussion assignments: graphs, correlation, the normal distribution, null and alternative hypotheses
Midpoint Assesment/ Midpoint study guide and assessment workbook
Project/ The three-part business statistics project (parts 1, 2, 3) with data workbooks, plus the criminal-justice and health variants of the same brief
Reflection Essay/ End-of-course reflection

How the Weekly Material Maps to This Course

The notes and exercises here reorganize that week-by-week material into a topic-based reference, so related ideas sit together instead of being split across whichever week they happened to fall in.

Source weeks Chapter in this repo
Week 1 01 · Foundations of Data
Weeks 2–3 02 · Frequency Distributions
Weeks 3–4 03 · Central Tendency · 04 · Variation & Position
Weeks 5–6 05 · Probability
Weeks 6–7 06 · Discrete Distributions
Weeks 7–8 07 · Continuous & Normal
Week 9 08 · Sampling Theory & CLT
Weeks 10–11 09 · Confidence Intervals
Weeks 11–12 10 · Hypothesis Testing
Weeks 12–13 11 · t-Tests
Weeks 13–14 12 · Chi-Square & ANOVA
Weeks 14–15 13 · Correlation & Regression

The graded business project (parts 1–3) is the model for the capstone project, which runs the same describe → estimate → test → model → report pipeline on a fresh dataset.

Probability gets fuller treatment here than the source weeks gave it: the source material moves quickly from data description to distributions, so chapters 05-01 through 05-03 were written from scratch to cover sample spaces, the addition and multiplication rules, conditional probability, Bayes' theorem, and the counting rules properly before the distributions arrive.


Free textbooks

Resource Why
OpenStax — Introductory Statistics 2e The standard free text; matches this course's sequence closely
OpenIntro Statistics Free PDF, excellent on inference and study design; strong exercise sets
Modern Dive Statistics through R, with tidyverse throughout
Think Stats The Python-first take, computation-led rather than formula-led

Reference and tables

Resource Why
NIST/SEMATECH e-Handbook The authoritative free reference for every method in this course
Statistical tables (z, t, χ², F) For when you need the printed-table route
R documentation Every function's arguments and defaults
SciPy stats reference The Python equivalent
Microsoft — statistical functions Excel's full statistical function list

Visual and interactive

Resource Why
Seeing Theory Animated probability and inference — the best CLT visualization anywhere
Rossman/Chance applets Sampling distributions, confidence intervals, randomization tests
Spurious Correlations A permanent reminder that correlation is not causation

Practice

Resource Why
Khan Academy — Statistics & Probability Video walkthroughs with practice sets
Kaggle Datasets Real data to redo the projects on
UCI Machine Learning Repository Classic, well-documented datasets

Companion Courses

This repository sits under Data Science & AI on ijk37.com, alongside:

Tip

Statistics is the prerequisite for machine learning, not a detour around it. Every concept in Chapter 13 — least squares, residuals, , overfitting, train/test thinking — is the foundation the ML course builds on.