of the corresponding data values of A . So they are very much related. Thus, we get a confusing situation. To get clear picture of the given data, we can find their coefficient of variation.
This is why we need coefficient of variation. Progress Check . Coefficient of variation is a relative measure of . When the standard deviation is divided by the mean we get .
The coefficient of variation depends upon and . If the mean and standard deviation of a data are and respectively then the coefficient of variation is . When comparing two data, the data with coefficient of variation is inconsistent. Example .
The mean of a data is . and its coefficient of variation is . . Find the standard deviation.
Solution Mean x = . , Coefficient of variation, C.V. = . Coefficient of variation, C.V.
= s % s ⇒ s = . Example . The following table gives the values of mean and variance of heights and weights of the 10th standard students of a school. Height Weight Mean cm .
kg Variance . cm . kg Which is more varying than the other? Solution For comparing two data, first we have to find their coefficient of variations Mean x = 155cm, variance s = cm Therefore standard deviation s = .
Coefficient of variation CV . = s % CV . = % = % (for heights) Mean x = . kg, Variance s = .
kg Standard deviation s = . kg Coefficient of variation CV . = s % CV . = % = % (for weights) C V % and C V % Height is more consistent.
Exercise . . The standard deviation and