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:
“Those who, while they disapprove of the character and measures of a government, yield to it their allegiance and support are undoubtedly its most conscientious supporters, and so frequently the most serious obstacles to reform.”
—Henry David Thoreau (1817–1862)
“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 (1833–1901)
“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)
“Myths, as compared with folk tales, are usually in a special category of seriousness: they are believed to have “really happened,” or to have some exceptional significance in explaining certain features of life, such as ritual. Again, whereas folk tales simply interchange motifs and develop variants, myths show an odd tendency to stick together and build up bigger structures. We have creation myths, fall and flood myths, metamorphose and dying-god myths.”
—Northrop Frye (1912–1991)