Statistics Calculator: Mean Absolute Deviation (MAD)

Use this calculator to compute the mean absolute deviation from a data set.

Data is from: Population Sample

Mean Absolute Deviation Calculator


This calculator computes the mean absolute deviation from a data set:

You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset".

What is the mean absolute deviation

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

Mean absolute deviation formula

This calculator uses the following formula for calculating the mean absolute deviation:

$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$

where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.