Mean absolute difference

The mean absolute difference (univariate) is a measure of statistical dispersion equal to the average absolute difference of two independent values drawn from a probability distribution. A related statistic is the relative mean absolute difference, which is the mean absolute difference divided by the arithmetic mean, and equal to twice the Gini coefficient. The mean absolute difference is also known as the absolute mean difference (not to be confused with the absolute value of the mean signed difference) and the Gini mean difference (GMD).[1] The mean absolute difference is sometimes denoted by Δ or as MD.

  1. ^ Yitzhaki, Shlomo (2003). "Gini's Mean Difference: A Superior Measure of Variability for Non-Normal Distributions" (PDF). Metron International Journal of Statistics. 61 (2). Springer Verlag: 285–316.