# 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 ?
27] --, Factorizations and geometric means of positive definite matrices, Linear Algebra Appl.
Monthly geometric means were computed by taking the arithmetic mean of all daily geometric means for each recreational water per month, separately for each year.
The power exponential mean and Contra Harmonic mean are deduced directly from weighted Arithmetic and Geometric Mean, as follows.
According to State guidelines, water quality is monitored using fecal coliform concentrations as the standard, with fishing streams listed as impaired if the geometric mean of four water samples in a thirty day period exceeds 200 colony forming units (cfu) per 100 ml between May and October or 1,000 cfu/100 ml between November and April; or if a single water sample exceeds 4,000 cfu/100 ml between November and April (4, 5).
Female moose had higher kidney Cd concentrations than males (female geometric mean = 92.
At the time of hospital admission for pneumonia, geometric mean serum antibody levels to MsgC in Pneumocystis patients and controls were similar (Table 1).
However, since expenditure data are available only with a time lag, a geometric means formula is used to estimate the indexes initially and then the figures are revised when the final expenditure data are available.
An implication of this assumption is that the unilateral price indices should be constructed using a Jevons-style geometric mean method, in which the growth rate of the index equals the growth rate of the ratio of the current period's geometric mean divided by the geometric mean in the previous period.
The geometric mean of the MIC values for amphotericin B in Thailand, the United States, and Malawi was 1.
Compared with 1988-1994, the age-, sex-, and race/ethnicity-adjusted percent reductions in the geometric means of urine cadmium concentrations were 27.
Qi, Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit differnce, Internat.

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