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Percent Error Calculator

Compare your experimental measurement against the true value.

About Percent Error

Percent error measures how far a measured value deviates from the true or accepted value. It is commonly used in scientific experiments, manufacturing quality control, and statistical analysis.

Formula

Percent Error = |Experimental − Theoretical| / |Theoretical| × 100%. If the experimental value is lower, it is an underestimate; if higher, an overestimate.

What is the difference between percent error and percent difference?

Percent error compares a measured value to an accepted reference value. Percent difference compares two equally-valid measurements against their average. Percent error uses |measured − true| / |true|, while percent difference uses |a−b| / ((a+b)/2).

Can percent error be negative?

By convention, percent error is reported as an absolute value (always positive). However, some contexts report signed percent error: positive when the experimental value exceeds the theoretical value (overestimate), and negative when it falls short (underestimate).