Quick guide
How to use this calculator
- Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
- Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
- Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.
Calculation method
How the mean absolute deviation calculator works
Mean absolute deviation about c = Σ|xᵢ−c|/n.
Changing the reference changes the question: the median minimizes total absolute distance while the mean minimizes squared distance.
Worked example
Mean Absolute Deviation example
For 1, 2, 6 around the mean 3, the absolute deviations 2, 1, and 3 average to 2.
Mean absolute deviation about c = Σ|xᵢ−c|/n.
Supported inputs
Precision and limits
Model and design
The custom-reference mode describes distance from the entered benchmark and is not automatically a measure of center or model error.
Numerical scope
Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.
Interpretation
Changing the reference changes the question: the median minimizes total absolute distance while the mean minimizes squared distance.
Decision boundary
The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.
Privacy
Entered values and calculated results stay in this browser and are not sent to an analytics service.
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