geometric mean

American

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.

geometric mean British

noun

the average value of a set of n integers, terms, or quantities, expressed as the n th root of their product Compare 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

geometric mean Scientific

The positive n th 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.

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

This three-day geometric mean is how the county measures moderate-but-persistent poop problems.

From Seattle Times • Aug. 12, 2022

Using the decimal multiplier equivalents of 1.12, 0.92, and 1.02, allows us to compute a geometric mean of 1.0167.

From Textbooks • Nov. 29, 2017

The geometric mean will provide us with the answer to the question, what is the average rate of return: 16 percent.

From Textbooks • Nov. 29, 2017

The following are monthly geometric mean E. coli ratings for the control site and S-RAM site, measured in colonies per 100 milliliters of water.

From Washington Times • Oct. 20, 2014

It is easy to show that θ” must be the geometric mean of θ′ and θ0, or θ″ = √θ′θ0.

From Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 2 "Hearing" to "Helmond" by Various

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023