Experimental data & uncertainty · SL/HL
Error & difference
Compare measured and reference values.
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Number formats & units
Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.
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Result & working
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Formula & example
The relationship
What the variables mean
| Symbol | Meaning |
|---|---|
| accepted | Reference used for percentage error. |
Worked example
- Comparison
- Percentage error
- Experimental/new/value a
- 9.70
- Accepted/initial/value b
- 9.81
1.121305%
Follow the example steps
- Percentage error = |experimental − accepted|/|accepted| × 100
- = |9.7 − (9.81)|/|9.81| × 100 = 1.121305%
Common mistakes
Percentage error uses the accepted value as denominator.
Incorrect approach
a = 12, b = 10: 100 × 2/12 ≈ 16.7%
Correct approach
100 × |12 − 10|/|10| = 20%
More checks before you submit
- Do not swap error and difference just because both return a percentage.
Method notes
Percentage error uses a reference value; percentage difference is symmetric when neither value is privileged.