# geometric mean

Also found in: Dictionary, Thesaurus, Medical, Legal, Financial, Acronyms, Wikipedia.

## 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.
References in periodicals archive ?
The results of our study indicated that toxoid vaccines made from prevalent isolates were more efficacious against enterotoxaemia as the toxoid vaccine gave higher geometric mean titer as compared to commercial bacterin toxoid vaccine.
Another issue is the relationship between the geometric mean and the arithmetic mean for a positive random variable.
Notice that due to the based technology of global there is no need for geometric mean when defining global.
There are some other important definitions for computing the matrix geometric mean of two matrices; see for example, the work of Lawson-Lim .
Negative numbers (red) show LOS > geometric mean; positive numbers (green) < geometric mean.
Responses measured 4 weeks after the third dose Main outcomes: safety, geometric mean titer antihody response, [dagger] seroconversion rate [dagger] * Results on these women not presented at International AIDS Conference.
First, it shows that the difference in elasticity values between Allen's geometric mean and the isoelastic approach is negligible for small changes in price and quantity.
However, a list of desired properties for the general geometric mean can be derived from this scalar expression.
Geometric mean FIB densities for each site and sampling date were estimated using the most probable number (MPN) method according to manufacturer's recommendations.
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.
Geometric mean mass of vertebrate prey (Marti, 2007) was calculated as antilog ([summation][n.sub.i][log.sub.10] [w.sub.i]/[summation][n.sub.i]), where [n.sub.i] was number of individuals of the ith species and [w.sub.i] was mean mass (Figueroa and Gonzalez-Acuna, 2006; Marti et al.

Site: Follow: Share:
Open / Close