# geometric mean

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### noun Mathematics.

the mean of n positive numbers obtained by taking the nth root of the product of the numbers: The geometric mean of 6 and 24 is 12.

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

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## British Dictionary definitions for geometric mean

geometric mean

### noun

the average value of a set of n integers, terms, or quantities, expressed as the n th root of their productCompare arithmetic mean

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Medical definitions for geometric mean

geometric mean

### n.

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

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

## Scientific definitions for geometric mean

geometric mean

The positive nth root of the product of a set of n numbers. For example, the geometric mean of 2 X 3 X 6 X 8 is the 4th root of 288, or approximately 4.12.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.