Manhattan Distance

The Manhattan distance function or Manhattan metric calculates the distance that would be moved to get from one data point to another when following a grid-like path. The Manhattan distance between two elements is the sum of the differences of their respective components.

To calculate, enter a series of x /y pairs (vectors). The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

Manhattan distance formula

\(\displaystyle d(x,y)=\sum_{i=1}^n |x_i-y_i|\)