How to use this calculator

Mean absolute deviation describes how far your observations sit from their arithmetic mean, on average. It stays in the same units as your data, so a MAD of 2.4 seconds means an average distance of 2.4 seconds from the mean. Enter the complete set of observations, not a precomputed average.

The method

MAD = sum(|x - mean|) / n

Enter the values in the labeled fields, check the units or selected mode, and choose Calculate. The result includes the applicable working and a breakdown or visual when useful. Change an input and calculate again to update the result.

WORKED EXAMPLE

Your data values: 2, 4, 6, 8, 10

Mean absolute deviation: 2.4

Average distance from the arithmetic mean.

Scope and limitations

This calculator uses the mean as the center and averages absolute distances. It does not calculate median absolute deviation, standard deviation, or an outlier threshold.

Common questions

Is MAD the same as standard deviation?

No. MAD averages absolute distances; standard deviation is based on squared distances. They are different measures of spread.

Can I enter negative values?

Yes. Negative observations are accepted. Distances from the mean are converted to absolute, nonnegative values.

References & further reading

External references provide background, not an endorsement of this implementation. See our methodology for numerical conventions and limitations.