Calculating your absolute error is straightforward once you know the Absolute Error formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Absolute Error Calculator.
What is Absolute Error?
The Absolute Error calculation tells you your absolute error from a few simple inputs. The figure you are solving for here is the absolute error.
The Absolute Error formula
This calculation combines several inputs through a multi-step method rather than a single one-line formula. Enter the values below and the calculator resolves each step in order. The inputs it needs are:
- Measured value — a number. Example: 9.8.
- True value — a number. Example: 10.
How to calculate it step by step
- Write down the measured value (for example, 9.8).
- Write down the true value (for example, 10).
- Apply the formula above to get your absolute error.
- Double-check the result with the Absolute Error Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Measured value | 9.8 |
| True value | 10 |
| Absolute error | 0.2000 |
| Percent error | 2.0000% |
With measured value of 9.8 and true value of 10, the absolute error works out to 0.2000.
Example 2
With measured value of 20 and true value of 10, the absolute error works out to 10.0000.
| Result | Value |
|---|---|
| Absolute error | 10.0000 |
| Percent error | 100.0000% |
Example 3
With measured value of 4.9 and true value of 10, the absolute error works out to 5.1000.
| Result | Value |
|---|---|
| Absolute error | 5.1000 |
| Percent error | 51.0000% |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Absolute Error Calculator does it instantly, for free, with the formula and a worked example built in.
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