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# Average Deviation Calculator

Calculate the average deviation of a set of numbers.

Average Deviation Calculator
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The Average Deviation Calculator is used to calculate the average absolute deviation of a set of given numbers.

## 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.

## Formula

Given a data set {x1, x2, ..., xn}, the average absolute deviation is calculated as follows: {x1, x2, ..., xn}, the average absolute deviation is calculated as following:

where
xi is the data element,
and m(X) is the chosen measure of central tendency of the data set—usually chosen to be the mean or median.

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