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The expected squared deviation of a random variable from its mean; or, the average squared deviation of data about their mean.

2 votes

Can Mean be smaller than SD if the scores have negative numbers

In the case where all of the numbers are negative, the mean will certainly be smaller than the SD, since the SD will always be >= 0 (since it's the square root of the variance), and the mean always negative …
Kevin Connolly's user avatar