Statistics · Module 6 · Sampling distributions and the Central Limit Theorem

Central Limit Theorem Walkthrough

Watch random samples give different answers, see sample means pile up into a bell even from skewed data, and learn the standard error σ/√n, the Central Limit Theorem, probabilities about x̄ and p̂, and the law of large numbers. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · Statistics Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Central Limit Theorem Lab. Every data set here uses made-up practice numbers chosen to look realistic; they are not clinical reference values. Simulated samples use a fixed random seed, so the pictures are the same on every visit. Areas come from an accurate normal CDF and are rounded to four decimal places to match a printed z-table.