Percent Error Formula

Measure experimental accuracy

Formula

% Error = |Experimental - Theoretical| / Theoretical × 100%

  • Experimental value = measured result
  • Theoretical value = accepted/true value
  • Absolute value = always positive error
  • Result = percent deviation from true value

Example

Problem: Theoretical density = 2.70 g/cm³, measured = 2.62 g/cm³

% Error = |2.62 - 2.70| / 2.70 × 100%

= 0.08 / 2.70 × 100%

= 0.0296 × 100% = 2.96%

Answer: 2.96% error

Notes

  • Lower percent error = higher accuracy (closer to true value)
  • Use absolute value to avoid negative errors
  • Different from percent yield (which can be < or > 100%)
  • Common in lab reports to assess experimental technique

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