Calcolatore Deviazione Media Assoluta — Formula

How to Calculate Mean Absolute Deviation

Formula

MAD = (1/n) * Sum of xi - mean

For each value, find the absolute difference from the mean, then average those differences. Unlike variance, MAD does not square the deviations, making it less sensitive to outliers and easier to interpret: it is literally the average distance from the mean.

Esempio Risolto

Find the MAD of 3, 6, 9, 12.

  1. Mean = (3 + 6 + 9 + 12) / 4 = 30 / 4 = 7.5
  2. Absolute deviations: |3-7.5|=4.5, |6-7.5|=1.5, |9-7.5|=1.5, |12-7.5|=4.5
  3. Sum of absolute deviations = 4.5 + 1.5 + 1.5 + 4.5 = 12
  4. MAD = 12 / 4 = 3