Definitions for

**"Coefficient of Variation"****Related Terms:**Standard deviation, Variance, Dispersion, Variability, Standard error, Standard error of the mean, Deviation, Sep, Z-score, Error variance, Coefficient of determination, Deviation, Homoscedasticity, Normal distribution, Deviation, Random error, Kriging, Confidence interval, Gaussian distribution, Analysis of variance, Anova, Correlation coefficient, Average, Confidence level, R squared, Uncertainty, Covariance, Confidence intervals, Linear regression, Coefficient of correlation, Sigma, Loading, Kurtosis, Variation, Heteroscedasticity, Statistic, Statistical control, Garch, Confidence limits, Outlier, Estimator, Parametric test, Extrapolate, Effect size, Normalize , Distribution, Analysis of covariance, Precision, Point estimate, Principal components analysis

The ratio of the population (or sample) standard deviation to the population (or sample) mean.

The ratio of standard deviation divided by the mean for a given sample used to measure spread.

standard deviation (from the mean) expressed as a percentage of the mean.

A measure of the relative spread in a set of measurements; calculated as the standard deviation divided by the mean, and frequently multiplied by 100%.

The ratio of standard deviation of returns to expected return.

The standard deviation of a distribution divided by the arithmetic mean, sometimes multiplied by 100. It is used for the purpose of comparing the variabilities of frequency distributions but is sensitive to errors in the means.

A measure of investment risk that defines risk as the standard deviation per unit of expected return.

The ratio of the standard error for a variable to the mean value of the variable. This is used to measure the imprecision in survey estimates introduced by sampling. A coefficient of variation of 1 percent would indicate that an estimate could vary slightly due to sampling error, while a coefficient of variation of 50 percent means that the estimate is very imprecise. The most common way to improve the coefficient of variation requires increases in sample size that are typically expensive to accomplish.

A measure of how extreme the variation of values is in a distribution, compared to the mean of the distribution: the standard deviation divided by the mean. A low coefficient of variation indicates that most values are close to the average. A high coefficient of variation indicates that many values are much higher or lower than the average, sometimes suggesting the presence of inequities. » How to calculate the coefficient of variation

(CV) CV is defined as the standard deviation of a distribution of data divided by the mean value. This value, expressed in percent, reflects the degree of spread of data and is used to define the consistency of the performance or of dispensed volumes or other parameter.

Standard deviation of the distribution of possible outcomes, divided by the expected outcome.

Is a statistic which is used to determine the degree of relative dispersion. It extends standard deviation analyses. By definition, standard deviations are statistical measures of absolute dispersion. Therefore, it is difficult to compare the variability of two different asset classes or assets within those classses. It is computed by dividing the standard deviation of Asset I by the mean of Asset I. Similarly, the standard deviation of Asset II is divided by the mean of Asset II and so forth. These multiple coefficient of variation can then be compared against one another. By using the coefficient of variation, an analyst can compare variation among relatively high and low priced securities. Similarly, the analyst can evaluate the volatility differences between commodities, currencies, stocks and bond markets.

A measure of relative precision calculated as the standard deviation of a series of values divided by their mean. It is usually multiplied by 100 and expressed as a percentage.

A statistic expressing the standard deviation as a proportion (usually a percentage) of the mean.

The coefficient of variation is a measure of relative risk and is calculated as the standard deviation divided by the average. It takes into account both the average and variability around the average of a data series. The larger the coefficient of variation, the greater the risk relative to the average.

(CV): A standard statistical measure of the relative variation of a distribution or set of data, defined as the standard deviation divided by the mean. It is also called the relative standard deviation (RSD). The CV can be used as a measure of the precision within and between laboratories, or among replicates for each treatment concentration (EPA, 2000).

is a measure of the relative variation around the mean. Calculated by dividing the standard deviation by the mean.

A relative measure of dispersion, calculated by dividing a distribution's standard deviation by its mean.

is the scale parameter of a random variable and is a ratio of the standard deviation of the random variable to its mean (Cx=Ïƒx/Î¼x). [pg.32, 2

A statistical term, referring to the standard deviation of a distribution divided by the distribution's mean, and hence providing a standardized measure of the variation in a distribution, which does not increase simply because the mean itself increases or because the units of measurement change.

The standard statistical measurement of the relative variation of a distritubtion or set of data, defined as the standard deviation divided by the mean. Coefficient of variation is a measurement of precision within and and among laboratories.

A measure of precision, calculated as the standard deviation (s or s) of a set of values divided by the average (Xave or µ), and usually multiplied by 100 to be expressed as a percentage. COV = RSD = / x 100 for a sample, COV' = RSD' = / x 100 for a population See Relative percent difference.

a scene-derived parameter that is used as input to the Sigma and Local Statistics radar enhancement filters.

In probability theory and statistics, the coefficient of variation (CV) is a measure of dispersion of a probability distribution.