## About This Tool

The online Mean Absolute Deviation Calculator is used to calculate the mean absolute deviation of a set of given numbers.

## Mean Absolute Deviation

In statistics, the mean absolute deviation is the mean of the absolute deviations of a set of data about the data's mean. The mean absolute deviation is also called the mean deviation.

## Formula

For a sample size *N* and a data set {x_{1}, x_{2}, ..., x_{N}}, the mean absolute deviation is calculated as following:

where

MD = mean absolute deviation

x_{i} = the data element

x = the mean of the distribution