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Average Deviation. In statistics, the absolute deviation of an element of a data set is the absolute difference between that element and a given point. The average deviation of a data set is the average of the absolute deviations. The average deviation is also called the average absolute deviation.
To calculate the Variance, take each difference, square it, and then average the result: So the Variance is 21,704. And the Standard Deviation is just the square root of Variance, so: And the good thing about the Standard Deviation is that it is useful. Now we can show which heights are within one Standard Deviation (147mm) of the Mean: