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Geometric mean - Wikipedia

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In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite set of real numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers a1, a2, ..., an, the geometric mean is defined as or, equivalently, as the arithmetic mean in logscale: Most commonly the numbers are restricted to being non-negative, to avoid complications related to negative numbers not having real roots, and frequently they are restricted to being positive, to enable the use of logarithms. In any case, the geometric mean is equal to zero for any data set where one or more values is equal to zero. The geometric mean can be an unreliable measure of central tendency for a dataset where one or more values are extremely close to zero in comparison to the other members of the dataset. The geometric mean of two numbers, say 2 and 8, is just

Geometric mean - Wikipedia Jump to content From Wikipedia, the free encyclopedia N-th root of the product of n numbers Example of the geometric mean: l g {\displaystyle l_{g}} (red) is the geometric mean of l 1 {\displaystyle l_{1}} and l 2 {\displaystyle l_{2}} , [ 1 ] [ 2 ] is an example in which the line segment l 2 ( B C ¯ ) {\displaystyle l_{2}\;({\overline {BC}})} is given as a perpendicular to A B ¯ {\displaystyle {\overline {AB}}} . A C ′ ¯ {\displaystyle {\overline {AC'}}} is the diameter of a circle and B C ¯ ≅ B C ′ ¯ {\displaystyle {\overline {BC}}\cong {\overline {BC'}}} . In math

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