The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students.

how many students in the survey said that math was their favorite subject?

a) 42

b) 81

c) 120

d) 123

Using the information of the conditional relative frequency table, 123 students in the survey said that math was their favorite subject.

Solution:

1. The survey was given to 120 male students.

Acconding with the table, the proportion of male students with Math as favorite subject is 0.35. The quantity of male students with Math as favorite subject would be:

0.35(120)=42 male students

2. The survey was given to 180 female students.

Acconding with the table, the proportion of female students with Math as favorite subject is 0.45. The quantity of female students with Math as favorite subject would be:

0.45(180)=81 female students

Then the total of students in the survey said that math was their favorite subject would be:

42 male students + 81 female students = 123 students