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UCT · STA1000F

STA1000F: Sampling Distributions and the Central Limit Theorem

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STA1000F Introductory Statistics (Statistics 1000) · University of Cape Town · 2026

An interactive simulator for UCT STA1000F students to draw repeated random samples from four population shapes (and a Bernoulli population for proportions), watch the sampling distribution of x̄ or p̂ build up against its theoretical normal shape, plus a 10-question scored learning check.

This interactive simulator for UCT STA1000F Introductory Statistics lets you draw repeated samples from various population shapes and watch sampling distributions form, illustrating how the Central Limit Theorem applies to sample means and proportions as sample size increases.

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Build me a study app that lets me simulate drawing samples from different population shapes so I can see how the sampling distribution of the mean gets more normal and less spread out as sample size grows, per the CLT.

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