← Statistics Labs

CLT Simulator

Central Limit Theorem & Law of Large Numbers

Draw samples from Bernoulli, Uniform, or Exponential distributions. Watch the histogram of standardized sample means converge to the standard normal as n increases — regardless of the underlying distribution.

-4-3-2-101234standardized sample mean0.000.100.200.300.40densityempirical distributionN(0,1)

Press "Draw Samples" to generate standardized sample means — watch the histogram converge to N(0,1).

CLT Simulator — Statistics Labs · hbar.university