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Fifty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below:

a. Fill in the blanks in Table 1.33.

b. What percent of students take exactly two courses?

c. What percent of students take one or two courses?

Short Answer

Expert verified

(a)

# of CoursesFrequencyRelative FrequencyCumulative Relative Frequency
1300.60.6
2150.30.9
350.11

(b) Percent of students in exactly 2courses is 30%

(c) Percent of students taking one or two courses is90%

Step by step solution

01

Given information (part a)

The total number of students is 50, the number of students in one course is 30and the number of students in 2courses is 15.

02

Explanation (part a)

Number of students in three courses =50-30-15=5

Relative frequency for 2 courses localid="1647583818357" =numberofstudentsin2coursesTotalstudents

=1530=0.3

localid="1647583898921" Relativefrequencyfor3courses=numberofstudentsin2coursesTotalstudents=550=0.10

Cumulative relative frequency of 1courselocalid="1647609706501" =0.6

Cumulative relative frequency of 2course=0.6+0.3=0.9

Cumulative frequency of 2course=0.6+0.3+0.1=1

# of CoursesFrequencyRelative FrequencyCumulative Relative Frequency
1300.60.6
2150.30.9
350.11
03

Given information (part b)

Total number of students is 50, number of students in one course is 30and number of students in 2courses is 15

04

Explantion (part b)

Percent=numberofstudentsin2coursestotalumberofstudents×100=1550×100=30%

05

Given information (part c)

Total number of students is 50, number of students in one course is 30and number of students in 2courses is 15

06

Explanation (part c)

Percent=numberofstudentsin1or2coursestotalumberofstudents×100=30+1550×100=90%

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