Relative Measures
Relative Measures: Overview
This Topic covers sub-topics such as Coefficient of Variation in Statistics, Measures of Relative Dispersion and, Merits and Demerits of Coefficient of Variation
Important Questions on Relative Measures
The coefficient of variation (C.V.) and the mean of a distribution are respectively and . Then the standard deviation of the distribution is

If the numbers are , then the coefficient of variation is

The mean of a distribution is and the standard deviation is . What is the value of the coefficient of variation?

For a given distribution the arithmetic mean is and the standard deviation is then the coefficient of variation is equal to

The circular test is satisfied by

The time reversal test is satisfied by

A coefficient near indicates tendency for the larger values of one variable to be associated with the larger values of the other.

Rank correlation coefficient lies between

The distribution, for which the coefficient of variation is less, is _____ consistent.

Coefficient of variation is a relative measure of

Coefficient of variation is independent of the unit of measurement.


The coefficient of variation is independent of units.

The following statement is the demerit of coefficient of variation.
The coefficient of variation cannot be used to find the intervals of the mean.

As the coefficient of variation approaches infinity, the value of mean approaches zero.

Define the coefficient of variation and list all the demerits of calculating the coefficient of variation.

Define the coefficient of variation and list all the merits of calculating the coefficient of variation.

The coefficient of correlation when the coefficient of regressions are and is:

If the coefficient of variation is and the mean is then its standard derivation is

If the coefficient of variation and standard deviation are and , respectively, then arithmetic mean of distribution is
