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Math & statistics

Mean absolute deviation about the mean

Mean absolute deviation about the mean: Find the arithmetic mean, then average the absolute distances of observations from that mean.

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How it works

Find the arithmetic mean, then average the absolute distances of observations from that mean.

Input definitions

Observations
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A worked example

Observations
1,2,3,4
1

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Is this the same as median absolute deviation?

No. This tool averages distances from the arithmetic mean. Median absolute deviation takes the median of distances from the median.

How does Mean absolute deviation about the mean work?

Find the arithmetic mean, then average the absolute distances of observations from that mean.

What should I check before using Mean absolute deviation about the mean?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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