# Geometric mean

Revision as of 11:25, 22 June 2006 by Ragnarok23 (talk | contribs) (Made it nice and LaTeXy, detailed a little more)

Given a set of *n* numbers, the **Geometric Mean** is the *nth* root of the product of the numbers. It is analogous to the Arithmetic Mean, except with products.

## Examples

Find the geometric mean of the numbers We want the nth root of the product of the n numbers. There are n numbers so our geometric mean would be

Find the geometric mean of the numbers 6, 4, 1 and 2. There are 4 numbers, so we want the 4th root. The numbers' product is 48, so our answer is

The Geometric Mean is a component of the well-known Arithmetic Mean-Geometric Mean Inequality.