Percent Error Calculator

The percent error calculator is designed to determine the percentage error between the true and observed values.

Calculation:

How to Use the Percent Error Calculator?

  1. First, input the observed and true values.
  2. Now click the 'Calculate' button.
  3. As a result, the tool returns the percentage error between the given values including absolute and non-absolute errors.
  4. The tool also shows the step-by-step calculation to understand how the percent error is found.

How to Calculate the Percent Error?

The calculation involves two prior operations: Absolute error and Relative error. After that, the percent error can be determined. The formulas are given below:

Absolute Error = | Vobserved – Vtrue |

Relative Error =  
| Vobserved – Vtrue |
Vtrue
% Error =  
| Vobserved – Vtrue |
Vtrue
  × 100

The above equations are only applied when true values are known. Most commonly, the true values are unknown. In that case, the standard deviation is used to represent the error. For more details, please refer to the standard deviation calculator.

Let's take an example.

Example:

Calculate the percentage error, if the observed value is 17.11 and the true value is 23.17.

Solution:

% Error =  
| 17.11 - 23.17 |
23.17
  × 100
=  
| -6.06 |
23.17
  × 100

= | -26.154510142 |

% Error = 26.154510142