Central Limit Theorem Simulation

Explore how sample means converge to a normal distribution

CLT requires finite mean and variance - try the Cauchy distribution to see what happens when these don't exist!

How it works

Select a population distribution, set parameters, choose sample size, and watch the magic of CLT!

Histogram bins: Too few bins hide details, too many create noise. The app automatically selects optimal bins using statistical rules (Sturges', Freedman-Diaconis) based on your sample size.

Population Distribution

Sampling Distribution of X̄ (n = 30)

Histogram & Density (Bins: - )
QQ Plot (Test for Normality)