Question

sample grade point averages for ten male students and ten female students are listed. find the coefficient of variation for each of the two data sets. then compare the results.
males 2.4 3.8 3.8 3.8 2.8 2.7 3.8 3.3 3.8 1.7
females 2.8 3.7 2.2 4.1 3.6 3.9 2.2 3.8 3.7 2.3
the coefficient of variation for males is 23.8%.
(round to one decimal place as needed.)
the coefficient of variation for females is 24.3%.
(round to one decimal place as needed.)
compare the variability of grade point averages of males and females. choose the correct answer below.
a. the grade point averages of females are more variable than males.
b. the grade point averages of females and males have the same variation.
c. the grade point averages of females and males do not vary.
d. the grade point averages of males are more variable than females.

Explanation:

Step1: Recall the coefficient of variation (CV) concept

The coefficient of variation is a measure of relative variability. A higher CV indicates more variability.

Step2: Compare the given CV values

Given \(CV_{males}=28.8\%\) and \(CV_{females} = 24.3\%\). Since \(28.8\%>24.3\%\)

Answer:

D. The grade point averages of males are more variable than females.