CHAPTER 37 / 40
Statistics Foundations: From Zero to Hero
5 lessons · Explore, experiment and understand.
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- Step 154~10m3
Populations, Samples, and Sampling Distributions
Every statistic you compute from data is itself a random variable with its own distribution — this lesson builds that idea from a tiny, full…
Open lesson - Step 155~10m12
The Central Limit Theorem
The single most important fact in all of statistics: average enough independent things together, and the RESULT is approximately normal — ev…
Open lesson - Step 156~10m2
Point Estimation — Bias, Variance, and Consistency
Why sample variance divides by n-1, not n — derived and numerically verified from scratch, not just stated as a rule to memorize.
Open lesson - Step 157~10m2
Confidence Intervals, Properly Paced
Turn a single sample's estimate into an honest range of plausible values for the true parameter — built up slowly from the last three lesson…
Open lesson - Step 158~10m3
Hypothesis Testing — p-values, Errors, and Common Tests
Turn 'is this coin fair?' into a precise, computable decision procedure — one fully worked example, computed by hand, from raw counts to a f…
Open lesson