ToolNest

Percent Error Calculator

Measured vs. accepted valueRuns locally · nothing uploaded

Percent error
0.9174%
Absolute error
0.09
Relative error
0.009174

|9.72 − 9.81| ÷ |9.81| × 100%

How it works

When to use it

  • Compare an experimental value with the accepted value in a lab report.
  • Check the accuracy of an instrument or estimate.

Formula

Absolute error = |measured − actual|
Percent error = |measured − actual| ÷ |actual| × 100%

Worked example

Given: Measured g = 9.72 m/s², accepted 9.81 m/s²

  1. Absolute error = 0.09.
  2. Percent error = 0.09 ÷ 9.81 × 100% ≈ 0.917%.

Result: About 0.92% error; the measurement is low.

Reading the result

  • Percent error measures accuracy; the spread of repeated measurements measures precision.

Limitations

  • Undefined when the actual value is 0.
  • To compare two measurements with no accepted value, use percent difference instead.

How to use

  1. 1Enter the measured (experimental) value.
  2. 2Enter the accepted (theoretical) value.
  3. 3Read the absolute, relative and percent error.

FAQ

What is the percent error formula?

Percent error = |measured − accepted| ÷ |accepted| × 100%.

Absolute vs relative error?

Absolute error has units; relative error divides by the accepted value and is unitless.