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Mean Absolute Deviation (MAD)

By Kardi Teknomo, PhD.

Average Absolute Deviation is summation of the absolute value of each deviation. It is useful to measure the spread of data while considering the effect of total number of data

Other name: average absolute error

Formula:

Example:

 

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You can try the interactive program of Mean Absolute Difference (MAD) below with your own input data.

Type your input data in the box below, separated by comma. Only numbers input are accepted. Then click Get Mean Absolute Difference

Special for only two positive numbers and , we have

Average Absolute deviation

Variance

If , then variance and average absolute deviation which go to zero: ,

If , then

If , then

If , then

Example

, , then

See also: Variance, Mean and Average Tutorial, Learning from Data

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This tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi. Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\

 

 

 

 
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