Select the correct answer from each drop-down menu.

\begin{tabular}{|l|l|r|r|}
\hline Age Group & Male & Female & Marginal Total \\
\hline [tex]$18 - 24$[/tex] & 5,640 & 6,432 & 12,072 \\
\hline [tex]$25 - 34$[/tex] & 1,843 & 2,450 & 4,293 \\
\hline [tex]$35+$[/tex] & 1,069 & 2,124 & 3,193 \\
\hline Total & 8,552 & 11,006 & 19,558 \\
\hline
\end{tabular}

The table shows data from a survey on college enrollment.

The marginal total of 4,293 for the [tex]$25 - 34$[/tex] age group compared with the total number of students, expressed as a percentage, is [tex]$\square$[/tex].

The relative frequency of females in the [tex]$35+$[/tex] age group is [tex]$\square$[/tex].

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Answer :

To determine the correct answers for the drop-down menus, let's explore what each phrase means and how to compute the necessary values.

1. Percentage of the 25-34 age group compared with the total number of students:
- First, identify the marginal total for the age group 25-34 which is 4,293.
- Next, identify the total number of students which is 19,558.
- To find the percentage, divide the marginal total of the 25-34 age group by the total number of students and multiply by 100 to convert it into a percentage:
[tex]\[ \frac{4,293}{19,558} \times 100 = 21.95009714694754\% \][/tex]
- Therefore, the percentage of the 25-34 age group compared to the total number of students is approximately 21.95%.

2. Relative frequency of females in the 35-plus age group:
- First, identify the number of females in the 35+ age group which is 2,124.
- Next, identify the marginal total for the 35+ age group which is 3,193.
- To find the relative frequency of females in this age group, divide the number of females by the total number of students in the 35+ group and multiply by 100:
[tex]\[ \frac{2,124}{3,193} \times 100 = 66.52051362355151\% \][/tex]
- Therefore, the relative frequency of females in the 35-plus age group is approximately 66.52%.

Given these calculations, we can choose the correct answers from the drop-down menus:

- The percentage of the 25-34 age group compared with the total number of students is 21.95%.
- The relative frequency of females in the 35-plus age group is 66.52%.