The problem provides data from a survey on college enrollment, broken down by age group, gender, and overall totals. Let's address each part of the problem.
### Part 1: Marginal Total
First, we need to confirm the marginal total for the age group 25-34. The table lists:
- Males (25-34): 1,843
- Females (25-34): 2,450
The sum of the males and females in this age group provides the marginal total:
[tex]\[ 1,843\ (\text{males}) + 2,450\ (\text{females}) = 4,293 \][/tex]
Therefore, the first drop-down menu should be completed with:
[tex]\[ \text{4,293} \][/tex]
### Part 2: Relative Frequency of Females in the 35+ Age Group
Next, we need to calculate the relative frequency of females in the 35+ age group compared to the total number of students. The table provides:
- Females (35+): 2,124
- Grand Total (all students): 19,558
To find the relative frequency, we use the formula for relative frequency as a percentage:
[tex]\[ \text{Relative frequency} = \left(\frac{\text{Number of specific group}}{\text{Total number of students}}\right) \times 100 \][/tex]
Plugging in our numbers:
[tex]\[ \text{Relative frequency of females in the 35+ group} = \left(\frac{2,124}{19,558}\right) \times 100 \approx 10.860006135596686\% \][/tex]
Therefore, the second drop-down menu should be completed with:
[tex]\[ \text{10.860006135596686\%} \][/tex]
### Final Answer:
The marginal total 4,293 is [tex]\(\ 4,293 \)[/tex]. The relative frequency of females in the 35+ group compared with the total number of students, expressed as a percentage, is [tex]\(\ 10.860006135596686\%\)[/tex].
