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Definition of Geometric mean
1. Noun. The mean of n numbers expressed as the n-th root of their product.
Definition of Geometric mean
1. Noun. (mathematics) A measure of central tendency of a set of ''n'' values computed by extracting the ''n''th root of the product of the values. ¹
¹ Source: wiktionary.com
Medical Definition of Geometric mean
1. 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. (05 Mar 2000)
Lexicographical Neighbors of Geometric Mean
Literary usage of Geometric mean
Below you will find example usage of this term as found in modern and/or classical literature:
1. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1886)
"The geometric 'mean of n positive real quantities is the ... The geometric mean
of the n geometric means between a and c is the geometric mean between a and ..."
2. An Introduction to the Theory of Statistics by George Udny Yule (1919)
"21 • •* 21 • •* 21 • ' • • x '111» From the first form of this equation we see
that the ratio of the i geometric mean index-number in year 2 to that in year ..."
3. Statistical Averages: A Methodological Study by Franz Žižek (1913)
"The geometric mean has this property in common with the arithmetic mean, ...
As a rule the geometric mean is a value which does not occur in the series of ..."
4. Journal of the Statistical Society of London by Statistical Society (Great Britain) (1883)
"296— " In the present approximate results I adopt the geometric mean, because (1)
it lies between the other two [the arithmetic and the harmonic] ; (2) it ..."
5. Scientific Papers by Peter Guthrie Tait (1898)
"Obviously the whole energy restored is proportional to the excess of the arithmetic
over the geometric mean. Far more complex analytical theorems may easily ..."
6. The Theory and Practice of Absolute Measurements in Electricity and Magnetism by Andrew Gray (1893)
"BJA ,-*-,/" f geometric mean Distance of Two Coplanar Areas. GMD of Two Circles.
If we write <V / AJ •*- { I logr^dS^SJ B.' ..."
7. A Treatise on Algebra by Charles Smith (1890)
"By extending the meaning of the terms arithmetic mean and geometric mean, the
last result may be enunciated as follows :— Theorem III. ..."
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