# 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.

## 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.
References in periodicals archive ?
The geometric mean AFB1 in feed from farmers is lower than that in feed from feed retailers, possibly due to lower initial aflatoxin contamination of home-made feeds or poor storage practices of the manufactured feeds along the dairy feed value chain.
Table 3 presents geometric means of bAs, and the percent change in bAs from week 12 to a follow-up time, along with 95% CIs, in the second phase of the study.
coli geometric means for a composite of KFL&A and H&PEC recreational waters or H&PEC exclusively (Table 1).
Note that in (1), [square root of [a.sub.k], [b.sub.k]] is the geometric mean of two positive numbers [a.sub.k] and [b.sub.k] per computing cycle.
In contrast, both the arithmetic and geometric means are undefined in this situation.
YAMAZ[A.sub.K]I, Multi-variable weighted geometric means of positive definite matrices, Linear Algebra Appl., 435 (2011), pp.
days in hospital 7(1-160) 0.81 (min--max) Cost per day in hospital (R) 371.92 (GMean (range)) (327.49-422.36) 0.008 Cost per admission (R) (GMean 2 429.25 (range)) (2 105.60-2 802.65) 0.003 GMean = geometric mean. Table II.
(7) Let us consider the weighted geometric mean of unequal positive numbers a & b; G(a, b; p, q) = [a.sup.p][b.sup.q], where p, q > 0 with p + q = 1.
Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit differnce, Internat.
Water pH, geometric means of bacterial concentrations and calculated corresponding illness rates during the study period for all stations.
However, it appears unlikely that Mn concentrations are truly deficient in deer and moose in Nova Scotia as Mn levels in the present study were similar to those of apparently healthy caribou from the Northwest Territories (liver means = 8.6 - 15.9 [micro]g/g dw) (Elkin and Bethke 1995) and moose from northwestern Minnesota (liver geometric means = 7.9 and 8.0 [micro]g/g dw) (Custer et al.

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