![The arithmetic-geometric mean](https://blogs.sas.com/content/iml/files/2017/08/arithGeoMean2-640x336.png)
All statisticians are familiar with the classical arithmetic mean. Some statisticians are also familiar with the geometric mean. Whereas the arithmetic mean of n numbers is the sum divided by n, the geometric mean of n nonnegative numbers is the n_th root of the product of the numbers. The geometric