Mean and median absolute deviation calculator
Calculate mean absolute deviation or median absolute deviation (MAD). Compare methods and inspect each distance from the centre.
Method reference: NIST — Measures of Scale
Calculation details
| Value | Centre | Absolute distance |
|---|---|---|
| Fill in the fields above — the result is computed on this page. | ||
How to use this page
- Enter your data or use the example.
- Choose the method or precision and press Calculate.
- Review the result, explanation and details; you can copy the calculation.
What this page does not do: MAD is the raw median of distances, without the 1.4826 scaling factor. It is not standard deviation or a prediction. A single value or identical values give 0. Method: NIST, Measures of Scale.
Further reading
For 1; 2; 3; 4; 10 the mean is 4 and the distances are 3; 2; 1; 0; 6. Their mean is 2.4. In median mode the centre is 3; distances are 2; 1; 0; 1; 7, whose median is 1. The method changes both the centre and the aggregation of distances.
Frequently asked questions
How do I read the result?
For 1; 2; 3; 4; 10 the mean is 4 and the distances are 3; 2; 1; 0; 6. Their mean is 2.4. In median mode the centre is 3; distances are 2; 1; 0; 1; 7, whose median is 1. The method changes both the centre and the aggregation of distances.
What are the limitations?
MAD is the raw median of distances, without the 1.4826 scaling factor. It is not standard deviation or a prediction. A single value or identical values give 0. Method: NIST, Measures of Scale.
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