Absolute Error Definition

The absolute value is the difference between the observed or measured value and the quantity's actual value.It is an inadequate type of error because it does not provide any significant details about the error. For instance, while estimating the distances between the unknown distance between path A and B in kilometers; you maybe get the error of few centimeters that is insignificant and irrelevant. But suppose in another case, like assembling and measuring a machine where centimeters error is a significant error. In both cases, the errors are in the form of centimeters. However, the error in the second case is more critical than in the first case.

 

Formula of Absolute Error

For a more precise understanding, let's check the formula for absolute error:

Absolute Error = inferred value - actual value

Note:

To know about absolute value, you can use our Absolute Value Definition.

Example

For more prices understanding, let us have a look at the example listed below:

Suppose the quantity of actual value is 22.13, and inferred value is 23.09, then the value of absolute error will be:

Given data

actual value = 22.13
inferred value = 23.09

To Find

Absolute Error = ?

Solution

To get an absolute error, let's use the formula below:

Absolute Error = inferred value - actual value

Putting values in the formula:

Absolute Error = 23.09 - 22.13 = 0.96