Relative Error Formula

The difference between estimated and actual value is called error. The relative error formula could be used to compute the relative error in percent. Measurement errors occur due to unavoidable flaws in the measuring instrument and the human eye's limitations. Errors happen in many shapes and sizes, and we must sometimes decide whether the inaccuracy in our measurement is large enough to render the measurement meaningless. The lesser the error, the closer we are to the correct value.

The percent error will tell us how much these unavoidable errors have an impact on our experimental outcomes. True value or theoretical value are other terms for absolute value. The percentage inaccuracy is usually expressed as a positive number. The error's absolute value is divided by an accepted value and expressed as a percentage. The formula for calculating percent relative inaccuracy is as follows:

Percent Relative Error = ?Actual Value - Estimated Value / Actual Value?×100

Relative Error Formula