# geometric mean

## geometric mean

noun Mathematics.
the mean of n positive numbers obtained by taking the n th root of the product of the numbers: The geometric mean of 6 and 24 is 12.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To geometric mean
Collins
World English Dictionary
 geometric mean —n Compare arithmetic mean the average value of a set of n integers, terms, or quantities, expressed as the nth root of their product

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
American Heritage
Medical Dictionary

geometric mean n.
The nth root, usually the positive nth root, of a product of n factors.

The American Heritage® Stedman's Medical Dictionary
Cite This Source
American Heritage
Science Dictionary
 geometric mean   The positive nth root of the product of a set of n numbers. For example, the geometric mean of 2 × 3 × 6 × 8 is the 4th root of 288, or approximately 4.12.
The American Heritage® Science Dictionary
Cite This Source
FOLDOC
Computing Dictionary

### geometric mean definition

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 (http://mathworld.wolfram.com/GeometricMean.html).
(2007-03-16)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
Cite This Source
Example sentences
If somebody would recompute these as geometric mean annual returns, it would be useful.
Geometric mean: the nth root of the production of n factors.
Nearby Words