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Mean Absolute Deviation Calculator

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Measure average absolute distance from the arithmetic mean.

Your inputs

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Your result

MATH

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Next steps

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On this page How it works & practical examples

How to use the Mean Absolute Deviation Calculator

This tool uses deviations from the arithmetic mean. Absolute distances are averaged with denominator n, including for a sample.

The calculation

Mean absolute deviation = Σ|xi−mean(x)| / n

Worked example

For 1,2,3, the mean is 2 and the mean absolute deviation is 0.6667.

Assumptions and limits

This is not median absolute deviation and not standard deviation. It summarizes spread in the original measurement units without squaring distances.

Common questions

Which inputs should I use?

This tool uses deviations from the arithmetic mean. Absolute distances are averaged with denominator n, including for a sample.

What does the result exclude?

This is not median absolute deviation and not standard deviation. It summarizes spread in the original measurement units without squaring distances.

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