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What is the standard deviation formula for a sample and population?
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The formula for sample standard deviation is
$s = \sqrt{\frac{\Sigma(x-\bar{x})^2}{n-1}}.$
The formula for population standard deviation is
$\sigma = \sqrt{\frac{\Sigma(x-\mu)^2}{N}}.$
We won't use these formulas in practice, but it would be good to get a feel for how the formula approximates the average distance of data values from the mean, and to recognize that the formulas for \emph{sample} standard deviation and \emph{population} standard deviation differ.
by Wooden (4,850 points)

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