Experimental data & uncertainty · SL/HL

Error & difference

Compare measured and reference values.

Your values

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.

Percentage Error & Difference Calculator inputs

Calculated locally. No account or input upload.

Result & working

Example

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Formula & example

The relationship

error=∣experimental−accepted∣∣accepted∣×100%\text{error}=\frac{|\text{experimental}-\text{accepted}|}{|\text{accepted}|}\times100\%
difference=∣a−b∣(∣a∣+∣b∣)/2×100%\text{difference}=\frac{|a-b|}{(|a|+|b|)/2}\times100\%
change=new−initial∣initial∣×100%\text{change}=\frac{\text{new}-\text{initial}}{|\text{initial}|}\times100\%
What the variables mean
SymbolMeaning
acceptedReference 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
  1. Percentage error = |experimental − accepted|/|accepted| × 100
  2. = |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.