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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.
Definition. The mean absolute deviation is the average of the absolute values of the deviations around the mean for a set of numbers. For a data set $y_1, y_2, y_3,......., y_n$, the mean absolute deviation is defined as the average of the absolute deviations from the mean of data. Mean absolute deviation can be abbreviated as MAD.