Central Limit Theorem Demonstrator

Visualize how sample means approach normality regardless of population shape

Choose a non-normal distribution. The CLT shows that sample means will still be approximately normal for large n.

Distribution of Sample Means

Statistics

Population Mean (theoretical)
Population Std Dev (theoretical)
Mean of Sample Means
Std Dev of Sample Means
Theoretical SE (sigma/sqrt(n))
Central Limit Theorem: As n increases, the distribution of sample means approaches N(mu, sigma^2/n).
Standard Error: SE = sigma / sqrt(n)