Relative Error Percentage Calculator
Relative Error Percentage is intended for the specific statistics task described by its name. Enter measured value, reference true value to calculate a result expressed in %. The formula works entirely in your browser and needs no account or external API. Do not use a zero reference value. This estimate is useful for comparing scenarios when the supplied measurements follow the stated assumptions.
How to use this calculator
- Measure measured value in the units indicated on the input label.
- Enter Reference true value.
- Read the % result, then compare alternative inputs to evaluate your own situation.
Relative Error Percentage formula
100*Math.abs(measured-true)/Math.abs(true) (%).
- The expression 100*Math.abs(measured-true)/Math.abs(true) combines Measured value, Reference true value. Follow the units on each input: the answer is expressed in %.
- Do not use a zero reference value.
Worked examples
Worked example: Relative Error Percentage
Use these sample measurements: Measured value = 105, Reference true value = 100.
Compute 100*Math.abs(measured-true)/Math.abs(true).
Using the example inputs, the result is 5 %. Use this value to verify the formula before changing the measurements.
Understanding the result
Interpret the output as %; it is not a measurement taken directly from a physical system.
Do not use a zero reference value.
Important notes
Do not use a zero reference value.
Review the input units, any required legal or engineering rules, and unusual edge cases before acting on this estimate.
Frequently asked questions
What does Relative Error Percentage calculate?
It evaluates 100*Math.abs(measured-true)/Math.abs(true) to produce % from the measurements you enter. For the example values shown, the result is 5 %.
Which assumptions matter most?
Do not use a zero reference value.
Can I compare two scenarios?
Yes. Enter another set of measurements in the same units and compare the two outputs.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
- How to Calculate Percent Error — Learn the percent error formula and how to compare an experimental value with a reference or accepted value.
- How to Calculate Percentage Change — Learn the percentage change formula, how to calculate increases and decreases, and why the original value matters.
- Percent Difference — Understand percent difference, when it is appropriate, and how it differs from percentage change and percent error.
This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.