geometric mean

American  

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.

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geometric mean British  

noun

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

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geometric mean Scientific  

1. 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.

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Example Sentences

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

From Seattle Times • Aug. 12, 2022

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 geometric mean gets its name from the fact that when redistributed in this way the sides form a geometric shape for which all sides have the same length.

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