Data was collected randomly from 50 students at the University of People asking them the number of courses they were taking a given term.
| # of Cour-ses | Frequen-cy | Relative Frequen-cy | Cumulative Relative Fre-quency |
| 1 | 30 | 0.6 | |
| 2 | 15 | ||
| 3 |
- Fill in the missing blanks.
- What proportion of students take exactly two courses?
- What proportion of students take one or two courses?
| # of Cour-ses | Frequen-cy | Relative Frequen-cy | Cumulative Relative Fre-quency |
| 1 | 30 | 0.6 | 0.6 |
| 2 | 15 | 0.3 | 0.9 |
| 3 | 5 | 0.1 | 1.0 |
To find the proportion of students who take exactly two courses, we need to divide the frequency of students who take two courses by the total number of students. Therefore, the proportion of students who take exactly two courses is:
Proportion of students taking exactly two courses = Frequency of students taking two courses / Total number of students
Proportion of students taking exactly two courses = 15 / 50
Proportion of students taking exactly two courses = 0.3 or 30%
To find the proportion of students who take one or two courses, we need to add the relative frequencies of students who take one course and students who take two courses. Therefore, the proportion of students who take one or two courses is:
Proportion of students taking one or two courses = Relative frequency of students taking one course + Relative frequency of students taking two courses
Proportion of students taking one or two courses = 0.6 + 0.3
Proportion of students taking one or two courses = 0.9 or 90%