A statistics professor classifies his students according to their grade point average (GPA)and their gender.The resulting cross-classification table is shown below. $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { GPA}\
\begin{array} { | l | c c c | }
\hline \text { Gender } & \text { Under 2.5 } & 2.5 - 3.5 & \text { Over 3.5 } \
\hline \text { Mala } & 5 & 25 & 10 \
\text { Female } & 10 & 20 & 30 \
\hline
\end{array}
\end{array}$$ Which of the following describes the relationship between GPA and gender shown by this table?
A) A higher percentage of females have GPAs over 3.5,compared to males.
B) A lower percentage of females have GPAs over 3.5,compared to males.
C) Females and males each have the same percentage of GPAs over 3.5.
D) You cannot compare male and female GPAs because the total number in each group is not the same.

Question

A statistics professor classifies his students according to their grade point average (GPA)and their gender.The resulting cross-classification table is shown below. $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { GPA}\
\begin{array} { | l | c c c | } 
\hline \text { Gender } & \text { Under 2.5 } & 2.5 - 3.5 & \text { Over 3.5 } \
\hline \text { Mala } & 5 & 25 & 10 \
\text { Female } & 10 & 20 & 30 \
\hline
\end{array}
\end{array}$$ Which of the following describes the relationship between GPA and gender shown by this table?
A) A higher percentage of females have GPAs over 3.5,compared to males.
B) A lower percentage of females have GPAs over 3.5,compared to males.
C) Females and males each have the same percentage of GPAs over 3.5.
D) You cannot compare male and female GPAs because the total number in each group is not the same.

Quizplus · Accepted Answer

To determine the relationship between GPA and gender, we need to look at the percentages within each category. There are a total of 45 males and 60 females, so we can compare the percentages of each gender within each GPA category. For GPAs over 3.5, 10 out of 45 males have this GPA, which is about 22%. For females, 30 out of 60 have a GPA over 3.5, which is 50%. Therefore, a higher percentage of females have GPAs over 3.5, compared to males.

A Statistics Professor Classifies His Students According to Their Grade