MAE Calculator
Online calculator for the statistics MAE of data series
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.
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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
\(\displaystyle x= 1+2+3+4+5 = 15\)
\(\displaystyle y= 4+5+6+7+8 = 30\)
\(\displaystyle MAE=\frac{|y-x|}{n}=\frac{|30-15|}{5}=3\)
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