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.

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References in periodicals archive ?
The independence of both sample mass and aspect ratio was examined with geometric mean pressure averaging and is shown in figure 11.
Toader, Greek means and Arithmetic mean and Geometric mean, RGMIA Monograph, 2005.
1) Gheorghe Toader and Silvia Toader, Greek means and Arithmetic and Geometric mean, RGMIA MONOGRAPH, Australia 2005.
Although further work is needed to evaluate possible interactions between particle size and ration NDF or NFC level, this study suggests that a level of 9,900 [micro]m for geometric mean particle length of the diet is adequate to maintain rumen health and milk fat percentage for cows in the early to mid-lactation period.
5 month after construction, and geometric mean concentrations under the walkway and in the drip line area were elevated to 75 and 43 mg/kg, respectively, 2 months after construction (Fig.
First, the geometric mean estimate of required spending increased sharply, albeit by less than that of the Laspeyres index.
For descriptive statistical analyses, geometric means, 95% confidence intervals (95% CI), and ranges were calculated for trace elements.
Effects of process variables, including the primary air pressure, the accessory air pressure, the melt throughput rate, and the die-to-collector distance on the geometric mean of fiber diameter were investigated.
Essentially, the Hill and Fox method is a scaled version of the Jevons geometric mean method.
Table 1 lists year 0 quintile categories of serum GGT concentration and serum antioxidants at year 0 as geometric means within quintile categories.
The DRG-specific per diem is calculated using the hospital payment rate and the national geometric mean LOS.
covers all previously mentioned models (except the geometric mean model) if the parameter [alpha] is properly selected.

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