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:

    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)

    Away with the cant of “Measures, not men!”Mthe idle supposition that it is the harness and not the horses that draw the chariot along. No, Sir, if the comparison must be made, if the distinction must be taken, men are everything, measures comparatively nothing.
    George Canning (1770–1827)

    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)

    Man, in spite of his tendency towards mendacity, has a great respect for what he calls the truth. Truth is his staff in his voyage through life; commonplaces are the bread in his bag and the wine in his jug.
    Rémy De Gourmont (1858–1915)