Question

Which one of the following is always true?

Select one:

a. The coefficient of variation measures variability in a positively skewed data set relative to the size of the median.

b. None of the suggested answers are correct

c. The coefficient of variation is a measure of relative dispersion that expresses the standard deviation as a percentage of the mean, for any data on a ratio scale and an interval scale.

d. The interquartile range is very unique in the sense that it is a measure of central tendency as well as a measure of dispersion.

e. The coefficient of variation should only be used to compare positive data on an interval scale.

Answer 1

c. The coefficient of variation is a measure of relative dispersion that expresses the standard deviation as a percentage of the mean, for any data on a ratio scale and an interval scale.

Explanation:

We know that the coefficient of variation do not always measures variability in a positively skewed data set related to the size of the median. Also, the Interquartile range is the measure of dispersion and coefficient of variation can be used to compare positive as well as negative data on the ratio and interval scale. The coefficient of variation (CV) is a measure of the relative variability. It is nothing but the ratio of the standard deviation to the mean.