

geometric mean

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. Unabridged
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Examples from the web for geometric mean
  • geometric mean: the nth root of the production of n factors.
British Dictionary definitions for geometric mean

geometric mean

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
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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
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 (
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