Percent Error Calculator

How far off was your measurement? Percent error against the true value — sign explained — plus percent difference between two readings.

Percent error vs. the true value


Percent difference between two values

Use this when neither value is the “true” one — e.g. comparing two lab partners’ readings.

How to use the percent error calculator

  1. Enter your measured value and the accepted (theoretical) value from the lab or textbook.
  2. Press Calculate — you get the percent error, the raw error, and what the sign tells you about your measurement.
  3. Read the interpretation — under 5% is generally good for school labs; over 10% usually means a systematic error worth hunting down.
  4. No true value? Use the percent difference mode to compare two readings against their average.

Frequently asked questions

What is the percent error formula?

Percent error = |experimental − theoretical| ÷ |theoretical| × 100. It measures how far your result is from the accepted value, as a percentage of it.

Why is the theoretical value in the denominator?

Because error is measured relative to the true value — being off by 1 matters far more when the true value is 2 than when it is 2000.

What does a positive vs. negative percent error mean?

The sign comes from experimental − theoretical before the absolute value: positive means you overestimated (measured too high), negative means you underestimated (measured too low).

What is a good percent error in a school lab?

Under 5% is generally considered good for school labs. 5–10% is reasonable and worth a quick check of your method; over 10% usually points to a systematic error.

What is the difference between percent error and percent difference?

Percent error compares a measurement to a known true value. Percent difference compares two values to each other, dividing by their average — use it when neither value is the correct one.

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