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Home/Formula Library/Percent error

Percent error

Measure how far an observed value is from a known true value, as a percentage.

General

  • Percentage proportion
  • Percent error
  • Ratio and proportion
  • Rounding
  • Exponentiation
  • Nth root
  • Fraction arithmetic
  • Long division
  • Order of operations (PEMDAS)

Formula

percent error = |observed − true| / |true| × 100%

Explanation

Absolute error is |observed − true|. Relative error divides that by |true|. Percent error multiplies relative error by 100. A signed form without absolute value shows direction (over- or under-estimate).

Variables

  • observedthe measured or experimental value
  • truethe accepted or expected reference value

When to use

Lab reports, instrument checks, and comparing an estimate to a known standard.

Use this formula

Calculators

  • Percent Error Calculator→

Related formulas

  • Percentage proportionamount = (percent / 100) × whole
  • Ratio and proportionA:B = C:D → A×D = B×C

Other categories

  • Statistics
  • Cooking & apparel
  • Data & digital
  • Electricity & magnetism
  • Encodings & numbers
  • Date & time
Formula Library→

Popular

  • Percentage proportion
  • Arithmetic and weighted mean
  • Exponentiation
  • Fraction arithmetic
Formula Library→