Enter the true value and the approximate value into the calculator to determine the relative accuracy. The relative accuracy is expressed as a percentage.

Relative Accuracy Formula

The following formula is used to calculate the relative accuracy:

RA = |(TV - AV) / TV| * 100%

Variables:

  • RA is the relative accuracy (%)
  • TV is the true value
  • AV is the approximate value

To calculate the relative accuracy, subtract the approximate value from the true value, divide by the true value, and then multiply by 100 to get the percentage.

What is Relative Accuracy?

Relative accuracy is a measure of how close an approximate or measured value is to the true value, expressed as a percentage. It is often used in fields such as engineering, physics, and statistics to quantify the precision of measurements and calculations. A higher relative accuracy indicates a more precise approximation or measurement.

How to Calculate Relative Accuracy?

The following steps outline how to calculate the Relative Accuracy.


  1. First, determine the true value (TV).
  2. Next, determine the approximate value (AV).
  3. Use the formula RA = |(TV – AV) / TV| * 100% to calculate the relative accuracy.
  4. Finally, calculate the Relative Accuracy (RA) in percentage.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

True Value (TV) = 100

Approximate Value (AV) = 95