Mean Absolute Deviation Calculator

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MAD measures average distance from this reference. Mean is most common; median is more robust to outliers.
Mean Absolute DeviationHigh dispersion
3.125

Average distance of each value from the central point

Central point used6.125
Count (n)8
Minimum1
Maximum13
Range12
Sum of absolute deviations25
Relative MAD (%)51.02
51.02 %
Low dispersion<10Moderate dispersion10-30High dispersion30+

MAD = 3.1250 around the mean

  • On average, each data point is 3.1250 units away from the mean (6.1250).
  • The relative MAD of 51.0% indicates high variability: the values are widely spread around the center.
  • MAD is a robust alternative to standard deviation: it is not inflated by a single large outlier the way squared-error measures are.

Next stepCompare this MAD with the standard deviation for the same dataset. If they are similar, your data has few outliers. A large gap means outliers are inflating the standard deviation.

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