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Problem

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26 Oct 2021

Given information

Aim is to find what percent of students take one or two courses.
Given data  is Quantitative Data type since there are no categories in the data. 
A frequency(f) is the number of times that value(or observation) occurred(or recorded) in an experiment or study.
According to the table 1.33 there are 30 students who have taken only one course and there are 15 students who have taken two courses . 
No. of students who taken 3 courses is not given so we have to find out that.
The sum of the values in frequency column is nothing but the , total number of students included in the sample i.e. N=50
A Relative Frequency is the ratio(fraction or proportion) of the number of times a value of the data occurs(or recorded) in the set of all outcomes to the total number of outcomes. To find the relative frequency , we divide each frequency by the total number of observations(i.e. total no. of  students in this sample)
Cumulative Relative Frequency(CMF) is the accumulation(combination) of the previous relative frequencies .We have to find out  CMF also. That can be calculated by adding all previous relative frequencies to the relative frequency of the current corresponding.

Step-by-step explanation

Step 1.

we have the total number of students is N=50

and the frequency of students taken one course is 30(i.e.30 students taken one course out of total students) , two courses is 15(i.e.15 students taken two courses out of total students)and the students taken three courses is not given , so we have to find out that first.

step 1: the number of students taken three courses can be found by 

           here we have given out of 50 students , there are 30 students taken only one course and there are 15 students taken two courses .

           let us suppose that the no. of students taken three courses is 'X'

           Then the sum of all students who have taken course one , two , and three is 50

           i.e. 30 + 15 + X = 50

                            --> X = 50 - 30 - 15 

                            --> X = 50 - 45

                            --> X = 5

           i.e. there are 5 students who have taken three courses.

 

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