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Whats the difference between a standard deviation and a standard error?

April 26, 2017deviation difference Error standard

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Whats the difference between a standard deviation and a standard error?

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The standard error is a special kind of standard deviation – the one that we work with when: (a) estimating the mean of a continuous quantity from a sample (standard error = sigma_hat/root(n)) (b) estimating the percentage within a population that have a particular characteristic (standard error = root(P(100-P)/n)) In both cases the standard error is the standard deviation of the distribution we would get if we could take many, many samples