Chapter 2, Problem 1CQ

Following is the list of letter grades for students in an algebra class: A, B, F, A, C, C, A, B, D, F, D, A, A, B, C, F, B, D, C, A, A, A, F, B, C, A, C. Construct a frequency distribution for these data.

To determine

To find: To construct a frequency distribution for the below list of letter grades for students in an algebra class:

  $A,B,F,A,C,C,A,B,D,F,D,A,A,B,C,F,B,D,C,A,A,A,F,B,C,A,C$

Answer to Problem 1CQ

Frequency distribution is plotted

Explanation of Solution

Formula Used: A frequency distribution is a table that represents the frequency of each data value, i.e. how many times each data value is repeated in data set.

Calculation:

List of data is as follows:

  $A,B,F,A,C,C,A,B,D,F,D,A,A,B,C,F,B,D,C,A,A,A,F,B,C,A,C$

In above list, unique data values are:

  $A,B,C,D,E$

Here, $A$ is repeated $8$ times, $B$ is repeated $4$ times, $C$ is repeated $4$ times, $D$ is repeated $3$ times and $E$ is repeated $3$ times

Frequency distribution for above list of data is as follows:

Data Value	Frequency
A	8
B	4
C	4
D	3
E	3

Conclusion: Hence, a frequency distribution is constructed