Average - Types

Types

The table of mathematical symbols explains the symbols used below.

Name Equation or description
Arithmetic mean
Median The middle value that separates the higher half from the lower half of the data set
Geometric median A rotation invariant extension of the median for points in Rn
Mode The most frequent value in the data set
Geometric mean
Harmonic mean
Quadratic mean
(or RMS)
\sqrt{\frac{1}{n} \sum_{i=1}^{n} x_i^2} =
\sqrt {\frac{x_1^2 + x_2^2 + \cdots + x_n^2}{n}}
Generalized mean
Weighted mean
Truncated mean The arithmetic mean of data values after a certain number or proportion of the highest and lowest data values have been discarded
Interquartile mean A special case of the truncated mean, using the interquartile range
Midrange
Winsorized mean Similar to the truncated mean, but, rather than deleting the extreme values, they are set equal to the largest and smallest values that remain
Annualization

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Famous quotes containing the word types:

    He’s one of those know-it-all types that, if you flatter the wig off him, he chatter like a goony bird at mating time.
    —Michael Blankfort. Lewis Milestone. Johnson (Reginald Gardner)

    As for types like my own, obscurely motivated by the conviction that our existence was worthless if we didn’t make a turning point of it, we were assigned to the humanities, to poetry, philosophy, painting—the nursery games of humankind, which had to be left behind when the age of science began. The humanities would be called upon to choose a wallpaper for the crypt, as the end drew near.
    Saul Bellow (b. 1915)

    The rank and file have let their servants become their masters and dictators.... Provision should be made in all union constitutions for the recall of leaders. Big salaries should not be paid. Career hunters should be driven out, as well as leaders who use labor for political ends. These types are menaces to the advancement of labor.
    Mother Jones (1830–1930)