geometric mean

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geometric mean

[¦jē·ə¦me·trik ′mēn]
(mathematics)
The geometric mean of n given quantities is the n th root of their product. Also known as geometric average.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

geometric mean

(mathematics)
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.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
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Since the variables of all the coefficients have different intensity of manifestation, value, and probabilistic distribution nature, it is the geometrical mean that most accurately reflects the coefficient of the quality of professional activities of the teachers of legal disciplines in a particular period of time.
Shapiro's sculpture had begun to look increasingly like a dry, formal exercise in which the minimum of simple geometrical means no longer worked to maximum expressive effect.
Euclid's reliance on geometrical means of expression means that he avoids the problem of how to represent incommensurable quantities; he does not, for example, have to find a numerical approximation to [square root]2.) The theorems of book 10 were closely studied by the developers of algebra, Paciuolo, Cardano, and Stevin.

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