平均绝对偏差计算器 — 公式

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.

计算示例

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