Sampling distributions, one sample at a time

Take a sample from the population, compute one number from it, and drop that number into the bottom chart. Repeat thousands of times. The pile that forms is the sampling distribution, and its width tells you how much that statistic swings from sample to sample.

Population μ, σ

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Samples drawn

Mean of sample means

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Standard error (observed)

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Predicted σ/√n

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