MAE Calculator

This function calculates the mean absolute error of a prediction. The Mean Absolute Error (MAE) is a statistic that can be used to determine the accuracy of forecasts.

To perform the calculation, enter a series of predicted values X and a series of observation values Y. The individual numbers are separated by semicolons or spaces. To calculate click on the 'Calculate' button.

MAE Formula

\(\displaystyle d_{\mathbf{MAE}} : (x, y) \mapsto \frac{d_{\mathbf{SAD}}}{n} \) \(\displaystyle = \frac{\|x-y\|_1}{n} = \frac{1}{n}\sum_{i=1}^{n} |x_i-y_i|\)

Example

\(\displaystyle x= 1+2+3+4+5 = 15\)

\(\displaystyle y= 4+5+6+7+8 = 30\)

\(\displaystyle MAE=\frac{|y-x|}{n}=\frac{|30-15|}{5}=3\)