Sum of Absolute Difference

This function calculates the sum of the absolute difference between two data series. The sum of the absolute difference (SAD) is a statistical variable that can be used to determine the deviation of the measured values of two series.

For the calculation, enter the X series data and the Y series data. The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

SAD Formula

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

Example

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

\(\displaystyle y= 3+5+6+7+3 \)

\(\displaystyle SAD=|3-1|+|5-2|+|6-3|+|7-4|+|3-5|\)

\(\displaystyle \;\;\;\;\;\;\;\;\;\;=2+3+3+3+2 = 13\)