Measures of Spatial Central Tendency
The coordinate-wise mean of a point set is the centroid, which solves the same variational problem in the plane (or higher dimensional Euclidean space) that the familiar average solves on the real line — that is, the centroid has the smallest possible average squared distance to all points in the set.
Read more about this topic: Spatial Descriptive Statistics
Famous quotes containing the words measures of, measures, central and/or tendency:
“There are other measures of self-respect for a man, than the number of clean shirts he puts on every day.”
—Ralph Waldo Emerson (18031882)
“This Government has found occasion to express, in a friendly spirit, but with much earnestness, to the Government of the Czar, its serious concern because of the harsh measures now being enforced against the Hebrews in Russia.”
—Benjamin Harrison (18331901)
“The central paradox of motherhood is that while our children become the absolute center of our lives, they must also push us back out in the world.... But motherhood that can narrow our lives can also broaden them. It can make us focus intensely on the moment and invest heavily in the future.”
—Ellen Goodman (20th century)
“To regard all things and principles of things as inconstant modes or fashions has more and more become the tendency of modern thought.”
—Walter Pater (18391894)