geometric mean

noun, Mathematics
1.
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. 2015.
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Examples from the Web for geometric mean
Historical Examples
• To every geometric mean in the column of numbers there corresponds the arithmetical mean in the column of logarithms.

• The great objection to the geometric mean is its cumbrousness.

Chester Arthur Phillips
British Dictionary definitions for geometric mean

geometric mean

noun
1.
the average value of a set of n integers, terms, or quantities, expressed as the nth root of their product Compare arithmetic mean
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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geometric mean in Medicine

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

The American Heritage® Stedman's Medical Dictionary
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geometric mean in Science
 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
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geometric mean in Technology
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
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