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The mean deviation for any distribution is always 0 and so conveys no information whatsoever.

The standard deviation is the square root of the variance. The variance of a set of values is the sum of the probability of each value multiplied by the square of its difference from the mean for the set.

A simpler way to calculate the variance is

Expected value of squares - Square of Expected value.

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Q: Distinguish between mean deviation and standard deviation?
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