Experimental data & uncertainty · SL/HL

Percentage Uncertainty Calculator

Enter a non-zero measured value and a non-negative absolute uncertainty in the same unit.

Your values

Start with the example or enter your own values. Use a dot for decimals and e for scientific notation.

Percentage Uncertainty Calculator inputs
A display label only. Keep your input units consistent unless the calculator explicitly converts them.

Calculated locally. No account or input upload.

Result & working

Example

The calculator is loading. The worked example is also shown below.

The formula

percentage uncertainty = Δx/|x| × 100%

What the variables mean
SymbolMeaning
ΔxAbsolute uncertainty in the same unit as x.

When to use this calculator

Percentage uncertainty lets you compare the relative size of uncertainty across measurements.

Worked example

The page opens with these example values. The result below is pre-generated for reference.

  1. Percentage uncertainty = Δx/|x| × 100
  2. = 0.05 / |25| × 100 = 0.2%
  3. Rounded measurement: (25.00 ± 0.05) cm³

(25.00 ± 0.05) cm³

Common mistakes

  • Convert value and uncertainty to the same unit first.