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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