Central Limit Theorem: an interactive simulation
The central limit theorem (CLT) concerns the sample mean, not the shape of the individual observations. Use the controls below to draw many independent samples from one population. Each trial contributes one sample mean to the plot on the right.
TipWhat to compare
Keep the distribution and number of trials fixed, then increase the sample size. The distribution of sample means should become narrower and more nearly bell-shaped. In contrast, increasing the number of trials only gives a clearer view of that same sampling distribution.
No trials yet. Add a small batch to begin.