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

Thus the geometric mean of these three numbers is 16.

From Textbooks • Nov. 29, 2017

The geometric mean redistributes not the sum of the values but the product of multiplying all the individual values and then redistributing them in equal portions such that the total product remains the same.

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