Statistics & probability

Median absolute deviation

Summarise spread using deviations from the sample median.

Median absolute deviation
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A clear answer. Here’s how.

Raw MAD = median(|x−median(x)|). Also reports MAD multiplied by 1.4826022185, a consistency factor under a normal model, alongside the median. The adjusted value is not a universal standard-deviation estimate and a zero MAD can occur even when some observations differ.

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Worked example

A fixed demonstration, separate from the values you enter above.

Values, separated by commas or new lines
2, 4, 4, 4, 5, 5, 7, 9

Example result

Median
4.5
Raw median absolute deviation
0.5
Normal-consistency adjusted MAD
0.741301109253

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