The
geometric median of a discrete set of sample points in a
Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the
median, which has the property of minimizing the sum of distances for one-dimensional data, and provides a
central tendency in higher dimensions. It is also known as the
1-median,
spatial median,
Euclidean minisum point, or
Torricelli point.