Question

What is true of the coefficient of​ variation?

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.
B. The coefficient of variation does not give as accurate a measurement as the standard deviation.
C. When converting units of​ measure, the coefficient of variation is unchanged.
D. The coefficient of variation is always more meaningful than the standard deviation.

Answer 1

Answer:

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Step-by-step explanation:

The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.

The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).

A coefficient of variation is always interpreted as a percentage. Mathematical representation is:

$Coefficient\ of\ variation\ = \frac{Standard\ deviation}{Mean}\ \%$

The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Hence, the option (A) is the correct option.