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  "body": "\n## Summary\n\nThe sampling distribution of a [[statistic|0Q5CG2NEQ8]] is its probability distribution when the data are random.\nIt describes how the statistic would vary if the sampling were repeated many times.\nStandard errors, confidence intervals and p-values of [[frequentist inference|YDSNHKM3EG]] are all computed from sampling distributions.\n\n## Explanations\n\n### L1 human\n\nTake a sample of $50$ people and compute their average height.\nAnother sample of $50$ people would give a slightly different average.\nThe sampling distribution is the pattern of all these averages over all possible samples.\nFor averages it is centred at the true mean, and its spread shrinks like $1/\\sqrt{n}$ as the sample size $n$ grows.\n",
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