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Given the mean and median of a dataset, is it possible to compute the standard deviation of the dataset?

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No: $\{-1,0,1\}$ and $\{-100,0,100\}$ have the same mean and median. –  Rahul May 20 '14 at 23:14

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No, it is not possible to determine the standard deviation from the mean and the median. The data sets $\{-1,0,1\}$ and $\{-100,0,100\}$ have the same mean and median (both are equal to $0$, for both sets) but different standard deviations.

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