# Average Deviation Calculator

## About Average Deviation Calculator

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:
{x_{1}, x_{2}, ..., x_{n}}, the average absolute deviation is calculated as following:

where

x_{i} 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.