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Sampling Distribution Lab

A Sampling Distribution Lab for visualizing the Central Limit Theorem in action.

It lets you draw repeated random samples from a chosen population and watch how the distribution of a sample statistic (like the mean) converges toward a normal curve, regardless of the population's original distribution. The three stacked panels tell the story from top to bottom: the population you are sampling from, the last individual sample drawn, and the accumulated distribution of the statistic across all samples so far. Adjusting sample size n is the key interaction, as n grows, the sampling distribution tightens around the true mean, with spread equal to σn\frac{\sigma}{\sqrt{n}} (the standard error).