Mean Absolute Deviation Calculator

Calculate the mean absolute deviation (MAD) to measure average distance of data points from the mean.

Mean Absolute Deviation

3.0000

Mean7.5000

Mean Absolute Deviation vs Value 1

सूत्र देखें →

सूत्र

## 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.

हल किया गया उदाहरण

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

  1. 01Mean = (3 + 6 + 9 + 12) / 4 = 30 / 4 = 7.5
  2. 02Absolute deviations: |3-7.5|=4.5, |6-7.5|=1.5, |9-7.5|=1.5, |12-7.5|=4.5
  3. 03Sum of absolute deviations = 4.5 + 1.5 + 1.5 + 4.5 = 12
  4. 04MAD = 12 / 4 = 3