geometric mean

plural geometric means

1. mathematicsA measure of central tendency of a set of n values computed by extracting the nth root of the product of the values.

   The geometric mean of 2, 4 and 1 is ∛(2×4×1) = 2

   1 more example

   The geometric mean of the arithmetic mean and the harmonic mean is the geometric mean. In symbols: if A(x,y)#61;#123;x#43;y#92;over 2#125;, H(x,y)#61;#123;2xy#92;overx#43;y#125;, and G(x,y)#61;#92;sqrt#123;xy#125;, then G(A(x,y),H(x,y))#61;#92;sqrt#58;Template#58;x#43;y#92;over 2#125;#92;cdot#123;2xy#92;overx#43;y#61;#92;sqrt#123;xy#125;#61;G(x,y).