Absolute error and mean absolute error (Absolute error magnitude of each reading from mean; mean)
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Absolute error magnitude of each reading from mean; mean absolute error averages those magnitudes.
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Number of observations |
| Δx_i | Absolute deviation of ith reading from mean |
| x_mean | Arithmetic mean of readings |
When to use this
For single measurement vs true value, absolute error is |measured − true| when true is known.