# geometric mean

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## ge·o·met·ric mean

the mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.

See mean.

## ge·o·met·ric mean

(jē'ŏ-met'rik mēn)
The mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.

## geometric mean

The average value of a set of n integers quantities, expressed as the nth root of their product. The geometric mean is used to determine the average of a skewed frequency distribution.

## geometric mean

see geometric mean.
References in periodicals archive ?
This series of experiments again confirms the independence of void volume with sample mass and aspect ratio when using a geometric mean pressure average.
Effect of different dietary geometric mean particle length and particle size distribution of oat silage on feeding behavior and productive performance of dairy cattle.
Geometric mean arsenic levels at the 3-m (10-ft) locations were generally at least as great as those at the 1.
So, if, for example, a rising cost of beef caused filet mignon and flank steak prices both to increase by 10 percent, the geometric mean formula would not assume any substitution toward flank steak.
First, the Jevons geometric mean formula shown in equation (1) was used to splice the two component indices.
After calculating the geometric mean LOS for each DRG based on included claims, we were able to categorize PAC transfers as either short- or long-stay cases.
A vegetable gardener with soil exhibiting uptake greater than the geometric mean UC could be exposed to cadmium at a greater level than acceptable by EPA.
The Bureau of Labor Statistics (BLS) has introduced an experimental Consumer Price Index (CPI) for All Urban Consumers, or CPI-U-XG, that uses a geometric mean formula to combine individual price quotations at the lower level of aggregation while keeping the current Laspeyres (fixed weight) for higher level aggregation.
However, this formula, known as a geometric mean, will not be used to try to find substitutions between categories, such as a consumer buying more chicken when the price of beef rises.
For the group of residents that received recalled vaccine, both geometric mean antibody titers and the percentage of residents with titers [greater than or eqaul to] 1:40 against the A/Nanchang/933/95(H3N2) vaccine component were significantly lower than for the group of residents that received vaccine from a different manufacturer (Table 1).
Furthermore this generalized index encompasses as special cases, the arithmetic mean ([Epsilon] = 0), the Rawlsian criteria ([Epsilon] [approaches] [infinity]), and the geometric mean ([Epsilon] = 1).

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