Median Absolute Deviation Calculator

Find the median absolute deviation (MAD), a robust spread measure.

Value 1

Value 2

Value 3

Value 4

Value 5

Median absolute deviation 2

Formula: MAD = median(|xᵢ − median|)

Step-by-step with your numbers:

1. Values used:

2. Value 1 = 2

3. Value 2 = 4

4. Value 3 = 6

5. Value 4 = 8

6. Value 5 = 50

8. Median absolute deviation = Value 2 / Value 1 = 4 / 2 = 2

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MAD measures spread using medians, making it highly resistant to outliers.

The math behind it

MAD = median of the absolute deviations from the median. Unlike SD, one extreme value barely affects it.

2, 4, 6, 8, 50 → MAD 2.

MAD vs standard deviation?

MAD is robust; a single outlier can inflate the standard deviation hugely.