Question

the table shows data from a survey on college enrollment.

age group	male	female	marginal total
25 - 34	1453	2840	4293
35+	1999	1193	3192
total	8093	11064	19158

which of the following statements are true? select all that apply.
a. the marginal total 4293 is the total number of male students in the 25 - 34 age group.
b. the marginal total 4293 is the total number of female students in the 25 - 34 age group.
c. the marginal total 4293 is the total number of students in the 25 - 34 age group.
d. the relative frequency of females in the 35 - plus age group compared with the total number of students, expressed as a percentage is 66.5%
e. the relative frequency of females in the 35 - plus age group compared with the total number of students, expressed as a percentage is 33.5%
f. the relative frequency of females in the 35 - plus age group compared with the total number of students, expressed as a percentage is 10.0%

Explanation:

Step1: Analyze marginal total for 25-34

The marginal total for a row is the sum of male and female students in that age group. For 25-34: $1643 + 2650 = 4293$, so it is the total students in this group.

Step2: Calculate relative frequency for 35+ females

First, identify the number of females in 35+ age group: 2104. Total students: 19558.
Relative frequency percentage: $\frac{2104}{19558} \times 100\% \approx 10.8\% \approx 10.9\%$

Answer:

C. The marginal total 4,293 is the total number of students in the 25-34 age group.
F. The relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage is 10.9%