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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 mean deviation (also called the mean absolute deviation) is the mean of the absolute deviations of a set of data about the data's mean. For a sample size, the mean deviation is defined by. (1). where is the mean of the distribution. The mean deviation of a list of numbers is implemented in the Wolfram Language as. [ data ]. The mean deviation for a discrete distribution defined for, 2, ..., is given by. (2). Mean deviation is an important descriptive statistic that is not frequently encountered in mathematical statistics.