Definition:Geometric Mean

Definition
Let $x_1, x_2, \ldots, x_n \in \R$ be real numbers which are all positive.

The geometric mean of $x_1, x_2, \ldots, x_n$ is defined as:


 * $\displaystyle G_n := \left({\prod_{k=1}^n x_k}\right)^{1/n}$

That is, to find out the geometric mean of a set of $n$ numbers, multiply them together and take the $n$th root.