Mean Absolute Deviation Calculator — 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. 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