Statistics

Median Absolute Deviation Calculator

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

Parameters Live Compute
Calculated Output
Median absolute deviation 2
Formula: MAD = median(|xᵢ − median|)
Step-by-Step Breakdown
1. Values used:
2. Value 1 = 2
3. Value 2 = 4
4. Value 3 = 6
5. Value 4 = 8
6. Value 5 = 50
7.
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.

Worked Example

2, 4, 6, 8, 50 → MAD 2.

Frequently Asked Questions

MAD vs standard deviation?

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

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