STATS100 / STATS200

Central Limit Theorem Simulator

Draw repeated samples and compare their means. Change the sample size to see how the sampling distribution changes for each population shown here, then try the quiz.

1. Choose a Population Distribution

2. Set Sample Size

Sample size (n): 2

Population Distribution

Sampling Distribution of x̄

Statistics

Population Mean (μ)

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Population SD (σ)

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Theoretical SE (σ/√n)

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Observed SE

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At n ≥ 30, the sampling distribution is approximately normal — regardless of the population shape.

Try These Experiments

Try a bimodal population with n = 2. Then increase to n = 30. What happens to the shape?

Does the center of the sampling distribution change as n increases?

What happens to the spread (SE) as n doubles?

Ready to Test?

5 questions · 20 points each · 100 points total

Question 1 / 5 Score: 0 / 100