Part (a)
The frequency of students is the number of students taking a certain number of courses. The relative frequency is the frequency divided by the total number of students. The cumulative relative frequency is the sum of the relative frequencies up to that point.

The total number of students is 50. We know that 25 students are taking 1 course and 15 students are taking 2 courses. This leaves 10 students taking 3 courses.

The relative frequency for 2 courses is 15/50 = 0.3 and for 3 courses is 10/50 = 0.2.

The cumulative relative frequency for 1 course is 0.5, for 2 courses it's 0.5 + 0.3 = 0.8, and for 3 courses it's 0.8 + 0.2 = 1.

So the completed table is:

# of Courses Frequency Relative Frequency Cumulative Relative Frequency
1 25 0.5 0.5
2 15 0.3 0.8
3 10 0.2 1

Part (b)
The percent of students taking exactly two courses is the relative frequency for 2 courses times 100, which is 0.3 * 100 = 30%.

Part (c)
The percent of students taking one or two courses is the cumulative relative frequency for 2 courses times 100, which is 0.8 * 100 = 80%.

Question

Part (a)
The frequency of students is the number of students taking a certain number of courses. The relative frequency is the frequency divided by the total number of students. The cumulative relative frequency is the sum of the relative frequencies up to that point.

The total number of students is 50. We know that 25 students are taking 1 course and 15 students are taking 2 courses. This leaves 10 students taking 3 courses.

The relative frequency for 2 courses is 15/50 = 0.3 and for 3 courses is 10/50 = 0.2.

The cumulative relative frequency for 1 course is 0.5, for 2 courses it's 0.5 + 0.3 = 0.8, and for 3 courses it's 0.8 + 0.2 = 1.

So the completed table is:

# of Courses	Frequency	Relative Frequency	Cumulative Relative Frequency
1	25	0.5	0.5
2	15	0.3	0.8
3	10	0.2	1

Part (b)
The percent of students taking exactly two courses is the relative frequency for 2 courses times 100, which is 0.3 * 100 = 30%.

Part (c)
The percent of students taking one or two courses is the cumulative relative frequency for 2 courses times 100, which is 0.8 * 100 = 80%.

Knowee AI · Accepted Answer

Part (a)
The frequency of students is the number of students taking a certain number of courses. The relative frequency is the frequency divided by the total number of students. The cumulative relative frequency is the sum of the relative frequencies up to that point.

The total number of students is 50. We know that 25 students are taking 1 course and 15 students are taking 2 courses. This leaves 10 students taking 3 courses.

The relative frequency for 2 courses is 15/50 = 0.3 and for 3 courses is 10/50 = 0.2.

The cumulative relative frequency for 1 course is 0.5, for 2 courses it's 0.5 + 0.3 = 0.8, and for 3 courses it's 0.8 + 0.2 = 1.

So the completed table is:

# of Courses	Frequency	Relative Frequency	Cumulative Relative Frequency
1	25	0.5	0.5
2	15	0.3	0.8
3	10	0.2	1

Part (b)
The percent of students taking exactly two courses is the relative frequency for 2 courses times 100, which is 0.3 * 100 = 30%.

Part (c)
The percent of students taking one or two courses is the cumulative relative frequency for 2 courses times 100, which is 0.8 * 100 = 80%.

Question

Solution

of Courses Frequency Relative Frequency Cumulative Relative Frequency

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