It is defined as the standard deviation divided by the mean. Eg 1 elephants data.
The coefficient of variation cv is a unit less measure typically used to evaluate the variability of a population relative to its standard deviation and is normally presented as a percentage 1 when considering the percent coefficient of variation c v for log transformed data we have discovered the incorrect application of the standard cv.
Coefficient of variation interpretation pdf. The coefficient of variation is a measure of dispersion of data relative to the mean. N 10 0 e 12 000 kg s e 2 000 kg grasshopper data. 2 2 estimation of a population coe cient of variation the coe cient of variation computed on a sample is a biased esti mate of the population coe cient of variation denoted v.
The coefficient of variation is a helpful statistic in comparing the degree of variation from one data series to the other although the means. Empirical analyses of turnover suggest that using the coefficient of variation may lead to incorrect conclusions about the effects of demographic heterogeneity. Population coefficient of variation can be expressed by.
Quartiles of the sampling coefficient of variation in the different categories. Coefficient of variation raises a number of methodological and interpretive problems. In statistic the coefficient of variation formula cv also known as relative standard deviation rsd is a standardized measure of the dispersion of a probability distribution or frequency distribution.
Since the coefficient of variation is independent of the units of measurement and of the magnitude of the data it is useful for comparing the variability of two or more samples of data from. The v coefficient of variation is one of these statistical parameters a classical measure of the diversification of characteristics distribution which in contrast to the standard deviation. An investor identifies the risk to reward ratio of each security and develops an investment decision.
By determining the coefficient of variation of different securities public securities public securities or marketable securities are investments that are openly or easily traded in a market. The securities are either equity or debt based. We performed the shapiro wilk test 5 significance level to verify the normality of the sampling distribution of cv.
In recent years organizational sociology has witnessed a rapid growth in research in the. Qms 102 coefficient of variation in the same way we can remove the effect of the mean on the standard deviation by dividing by the mean and expressing the standard deviation as a proportion of the mean. An un biased estimate of the population coe cient of variation is denoted cb v it is computed as cb v µ 1 1 4n cv 3 where n is the sample size.
Where σ is the population standard deviation and µ is the population general mean. N 25 0 g 51 0 g s g 21 0 g.