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:
“To have the fear of God before our eyes, and, in our mutual dealings with each other, to govern our actions by the eternal measures of right and wrong:MThe first of these will comprehend the duties of religion;Mthe second, those of morality, which are so inseparably connected together, that you cannot divide these two tables ... without breaking and mutually destroying them both.”
—Laurence Sterne (1713–1768)
“The reliance on authority measures the decline of religion, the withdrawal of the soul.”
—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)
“There is nothing more innately human than the tendency to transmute what has become customary into what has been divinely ordained.”
—Suzanne Lafollette (1893–1983)