Spatial Descriptive Statistics - Measures of Spatial Central Tendency

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:

    One encounters very capable fathers abashed by their piano-playing daughters. Three measures of Schumann make them red with embarrassment.
    Alfred Döblin (1878–1957)

    ... moral certainty is certainty which is sufficient to regulate our behaviour, or which measures up to the certainty we have on matters relating to the conduct of life which we never normally doubt, though we know that it is possible, absolutely speaking, that they may be false.
    René Descartes (1596–1650)

    When life has been well spent, age is a loss of what it can well spare,—muscular strength, organic instincts, gross bulk, and works that belong to these. But the central wisdom, which was old in infancy, is young in fourscore years, and dropping off obstructions, leaves in happy subjects the mind purified and wise.
    Ralph Waldo Emerson (1803–1882)

    Democracies are notorious for a tendency to obey the feelings rather than the mind; thus the nature of democracies often makes it difficult to conclude a peace after a hard-won war. Generous victors are rare.
    Amos Elon (b. 1926)