Sampling Distributions
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May 1, 2024
Updated May 11, 2025
26 minute read
At its core, a sampling distribution describes the probability distribution of a statistic (like the mean, median, or proportion) that is calculated from multiple random samples drawn from a larger population. Imagine you want to know the average height of all adults in a city. Instead of measuring everyone (which is often impractical), you take multiple, smaller random samples of adults. For each sample, you calculate the average height. The distribution of these calculated average heights is the sampling distribution of the sample mean. This concept is fundamental because it allows us to understand how much a statistic is likely to vary from sample to sample.
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