Question

Age Group Male Female Marginal Total 18–24 5,640 6,432 12,072 25–34 1,843 2,450 4,293 35+ 1,069 2,124 3,193 Total 8,552 11,006 19,558 The table shows data from a survey on college enrollment. The marginal total 4,293 is . The relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage, is .

Answer 1

The marginal total in the table is 4,293. The relative frequency of females in the 35+ age group compared to the total number of students is 10.86%.

Step-by-step explanation:

The marginal total in the table is the total enrollment for the 25–34 age group, which is 4,293. This represents the sum of the number of males and females in that age group.

To find the relative frequency of females in the 35+ age group compared with the total number of students, you need to divide the number of females in the 35+ age group by the total number of students and multiply by 100 to express it as a percentage.

The number of females in the 35+ age group is 2,124, and the total number of students is 19,558. Therefore, the relative frequency of females in the 35+ age group is (2,124 / 19,558) x 100 = 10.86%.

Answer 2

The marginal total represents the total number of students in a category. The relative frequency of females in the 35-plus age group is 10.86%.

Step-by-step explanation:

The marginal total represents the total number of students in a particular category. In this case, the marginal total of 4,293 represents the total number of students in the 25-34 age group, regardless of their gender.

The relative frequency of females in the 35-plus age group can be calculated by dividing the number of females in that age group (2,124) by the total number of students (19,558). Multiplying this by 100 gives the percentage.

So, the relative frequency of females in the 35-plus age group, expressed as a percentage, is (2,124 / 19,558) * 100 = 10.86%.