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Relative and Percent Error Formula

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

Relative Error and Percent Error

The following diagram shows the formula for relative error and percent error. Scroll down the page for more examples and solutions on using the relative error and percent error formula.

Relative Error

Relative Error and Percent Error
Relative error is the amount of error your measurement contains when compared to the total measurement.
To calculate relative error, subtract the measured value by the real value and then divide the absolute of that number by the real value to get the relative error. We can then multiply by 100% to get the percent error.



Percentage Error in Measurement

The following diagram shows the formula for percentage error in measurement. Scroll down the page for more examples and solutions on using the percentage error formula.

Percentage Error

Percentage Error in Measurement
Percentage error is the absolute error divided by the measurement multiply by 100%
The absolute error is an accuracy that is ±1/2 of the smallest unit marked on the scale of the measuring device.


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