Percent Error Calculator

Compare a measured (experimental) value with the accepted (true) value: percent error, absolute error and relative error.

Any unit, as long as both values use the same one.

Results

Percent error
2.141 %
Signed percent error
-2.141 %
Measurement is low.
Absolute error |measured − accepted|
0.21
Relative error
0.021407

How it’s calculated

Percent error measures how far a measurement is from the accepted value, as a percentage of the accepted value. It describes accuracy (closeness to the true value), not precision (agreement between repeat measurements).

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

Example: a pendulum experiment gives g = 9.60 m/s² against the accepted 9.81 m/s². Error = |9.60 − 9.81| ÷ 9.81 × 100% = 0.21 ÷ 9.81 × 100% = 2.14% (measurement low).

Frequently asked questions

Can percent error be negative?

The usual definition takes the absolute value, so it is never negative. The signed version shown here tells you whether your measurement was high (+) or low (−).

What is a good percent error?

It depends on the experiment. In introductory labs, under about 5% is often considered good; precision measurements aim for far less.

How is this different from percent difference?

Percent error compares to a known accepted value. Percent difference compares two measurements with no reference, dividing by their average.

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Sources

Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.

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