# Coefficient of Variation

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## coefficient of variation

[¦kō·ə′fish·ənt əv ‚ver·ē′ā·shən]
(statistics)
The ratio of the standard deviation of a distribution to its arithmetic mean.

## Coefficient of Variation

the ratio of the quadratic deviation to the average value. In variational statistics the difference of any set of positive numbers x1,... ,xn from their arithmetic average x¯ = (x1 +... xn)/n is characterized by the standard deviation

A relative characteristic of such “scatter” is the coefficient of variation s/x¯. In probability theory and mathematical statistics the coefficient of variation of a positive random quantity X is defined as the ratio σ/a, where a = EX is the mathematical expectation, and σ2 = DX = E(X -a)2 is the dispersion. If X is the result of the measurement of some unknown positive constant a = EX, then the coefficient of variation is a natural characteristic of the relative error of measurement.

## coefficient of variation

The standard deviation expressed as a percentage of the average.
References in periodicals archive ?
1 Coefficient of variation 24% 4% Minimum 21 154 Maximum 53 179 Table 4.
Caption: Figure 8a--ultrasonic amplitude In A and coefficient of variation CV of the extruded rubber compound versus time at a throughput of 250 kg/hour for the Shark 150 at a pressure P1 = 60 bar
The variability in size of the teeth was studied by the means of coefficient of variation (CoV) which ranged between 5.
Thus, the reliability index will always decrease with the increase of the coefficient of variation of the permissible limit of settlement of foundation pile.
Thus, in a median region the squared coefficient of variation drops by a factor of five after the distribution of regional-local grants and, to a lesser extent, after the allocation of regulated tax revenues among localities.
A first look at the values shows a coefficient of variation of 10.
Table 4: Genotypic Coefficient of Variation (GCV) and Genotypic Coefficient of Variation (PCV) for various plant traits among 18 sunflower hybrids sown during spring and autumn 2008
In the present study, the mean coefficient of variation of the velocities in each of the clones was 20.
At the mandal level the mean annual rainfall along with the coefficient of variation values were calculated for 51 mandals.
One explanatory variable will be the team's total payroll in a season as a percentage of the league average payroll that season (hereafter Payroll), and a second explanatory variable will be the coefficient of variation (CV) of players' salaries on a team in a given season, that is, the ratio of the standard deviation of salaries on a given team to the team's average salary.
By developing an axiomatic framework, seven positive and normative inequality measures (Gini-coefficient, Theil Index, Mean Log Deviation, Atkinsion Index, Coefficient of Variation, Deciles Dispersion Ratio and Quintiles Dispersion Ratio) have been estimated.

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