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, 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 (1803–1882)
“Incarnate devil in a talking snake,
The central plains of Asia in his garden,
In shaping-time the circle stung awake,
In shapes of sin forked out the bearded apple....”
—Dylan Thomas (1914–1953)
“Among all the world’s races, some obscure Bedouin tribes possibly apart, Americans are the most prone to misinformation. This is not the consequence of any special preference for mendacity, although at the higher levels of their public administration that tendency is impressive. It is rather that so much of what they themselves believe is wrong.”
—John Kenneth Galbraith (b. 1908)