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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.
Variance is the average of the squared deviations from the arithmetic mean. The standard deviation is a square root from variance value. The standard deviation is a measure of the variability of values around the mean and is meant to be used with values that are normally distributed (e.g., follow a normal curve).