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The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers, the geometric mean is defined as.For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product; that is.or example, the geometric mean of 2 and 8 can be calculated as: where is any base of a logarithm (commonly 2, or 10). The right-hand side formula above is generally the preferred alternative for implementation in computer languages.
The geometric mean is NOT the arithmetic mean and it is NOT a simple average.It is the nth root of the product of n numbers. That means you multiply a bunch of numbers together, and then take the nth root, where n is the number of values you just multiplied.aturally, the geometric mean can get very complicated. Here's a mathematical definition of the geometric mean: Remember that the capital PI symbol means to multiply a series of numbers. That definition says to multiply k numbers and then take the kth root.