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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.
The standard deviation of a random variable, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.his means that most men (about 68%, assuming a normal distribution) have a height within 3 inches of the mean (67â73 inches) â one standard deviation â and almost all men (about 95%) have a height within 6 inches of the mean (64â76 inches) â two standard deviations.