 Geometric mean

The geometric mean of finitely many nonnegative real numbers is the nonnegative $n$th root of their product. For two positive numbers it is $\sqrt{ab}$. The arithmetic-geometric mean inequality compares it with their arithmetic mean. Unlike an arithmetic average, the geometric mean respects multiplicative scaling and is natural for growth factors.

The geometric mean is a measure of central tendency that is particularly useful for sets of positive numbers or data that exhibit exponential growth. It is defined as the nth root of the product of n numbers.