# geometric mean

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## geometric mean

n.
The nth root, usually the positive nth root, of a product of n factors.

## geometric mean

n
(Mathematics) 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 and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ge′omet′ric mean′

n.
the mean of n positive numbers obtained by taking the nth root of the product of the numbers: The geometric mean of 6 and 24 is 12.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 geometric mean - the mean of n numbers expressed as the n-th root of their productstatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parametersmean, mean value - an average of n numbers computed by adding some function of the numbers and dividing by some function of n
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
geometrický průměr
geometrisches Mittel
moyenne géométrique
geometrijska sredina
średnia geometryczna

## geometric mean

n
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
The maximum Geometric mean titer in CPCT was found to be 436.0 on 28th day and CPBT indicated 226.67 while -ve control indicated baseline antibody titer on 28th day post vaccination.
We performed linear regression analyses in which the dependent variable was antimicrobial susceptibility (geometric mean MIC) at each GISP site and the independent variable of interest was the prior year prescription rate (i.e., the prescribing rate during the year before the year corresponding to the antimicrobial drug susceptibility results) at each county and year.
O-AIV vaccine induced 39.4, 128 and 128 units of geometric mean anti-AIV-HI antibody titers in the vaccinated broilers on 21, 28 and 35 DPV, respectively.
mean: geometric mean; one part per billion (ppb) is the limit of detection Table 4: Prevalence and levels of aflatoxin B1 in feeds from feed retailers in the study sites County Number of Prevalence Range (ppb) A.
Combining results across all beaches, the geometric mean concentrations were 2.29 CFU/g (subtidal zone), 2.95 CFU/g (intertidal zone), and 4.15 CFU/g (supratidal zone).
[[??].sub.exp] turns out to the ordinary weighted geometric mean. Also, one easily can see that [[??].sub.p] is reduced to ordinary weighted arithmetic mean and weighted harmonic mean for p = 1 and p = -1, respectively.
It is not possible to gauge the variability of the outcome below the detection limit, but this information is needed to conduct standard statistical inference on the data in the whole range (for example, to estimate the geometric mean of the population from which the sample is drawn).
Blood Cadmium: Geometric mean and selected percentiles of blood concentrations (in ug/L) for the US population from the MHANES.
The geometric mean form of the adjacent Malmquist productivity index introduced by Caves et al. is not circular, that is, calculating productivity change between t and t + s is not possible when there is a change of productivity between t and t + p and also t + p and t + s.
The US Dollar Index, which charts the strength of the dollar against six world currencies through a weighted geometric mean, increased by 0.08 percent, reaching 84.34.
Geometric mean titers following the challenge dose were higher in group 2 (1,745.77) than in group 1 (487.84) and among those receiving 20 meg (1,314.67) than among those receiving the 10-mcg (537.65) dosage.
This paper tries to provide a fast algorithm for finding the geometric mean of two Hermitian positive definite matrices via the application of matrix sign function.

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