geometric meancomputing dictionary

<mathematics> The Nth root of the product of N numbers.

If each number in a list of numbers was replaced with their geometric mean, then multiplying them all together would still give the same result. The geometric mean thus gives an average "factor" in a context where numbers are multiplied together, e.g. compound interest.

Wolfram.

(01 Jan 2007)

geometric meanmedical dictionary

The mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.

(05 Mar 2000)