The GEOMEAN and HARMEAN are advanced statistical functions that typically require a deeper understanding of mathematics. This is probably why they aren't taught as often as the AVERAGE function.

Chris Gallant, CFA, is a senior manager of interest rate risk for ATB Financial with 10 years of experience in the financial markets. Vikki Velasquez is a researcher and writer who has managed, ...

The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...

A. M. Fink and Max Jodeit, Jr. It is shown that the arithmetic mean of $x_1 w_1,\ldots, x_n w_n$ exceeds the geometric mean of $x_1,\ldots, x_n$ unless all the $x$'s ...