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
(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:

Our children evaluate themselves based on the opinions we have of them. When we use harsh words, biting comments, and a sarcastic tone of voice, we plant the seeds of self-doubt in their developing minds.... Children who receive a steady diet of these types of messages end up feeling powerless, inadequate, and unimportant. They start to believe that they are bad, and that they can never do enough.
Stephanie Martson (20th century)

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)

... there are two types of happiness and I have chosen that of the murderers. For I am happy. There was a time when I thought I had reached the limit of distress. Beyond that limit, there is a sterile and magnificent happiness.
Albert Camus (1913–1960)