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, 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)

    For us necessity is not as of old an image without us, with whom we can do warfare; it is a magic web woven through and through us, like that magnetic system of which modern science speaks, penetrating us with a network subtler than our subtlest nerves, yet bearing in it the central forces of the world.
    Walter Pater (1839–1894)

    The tendency of the casual mind is to pick out or stumble upon a sample which supports or defies its prejudices, and then to make it the representative of a whole class.
    Walter Lippmann (1889–1974)