Question

In Exercises 2.20-2.25, we have presented some simple qualitative data sets for practicing the concepts. For each data set,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. Construct a bar chart.

Short answer

Part(a) The frequency distribution is,

Class	Frequency
A	1
B	3
C	7
D	7
E	2
Total	20

Part(b) The relative frequency distribution is,

Class	Frequency	Relative Frequency
A	1	0.05
B	3	0.15
C	7	0.35
D	7	0.35
E	2	0.10
Total	20	1

Part(c) The pie chart is,

Part(d) The bar chart is as follows,

Step-by-step solution

Part(a) Step 1. Given Information. 

We are given,

Part(a) Step 2. Finding the frequency distribution. 

The frequency distribution is as follows,

Class	Frequency
A	1
B	3
C	7
D	7
E	2
Total	20

Part(b) Step 1. Finding the relative frequency distribution. 

The relative frequency distribution is given by,

$\text{Relative frequency}=\frac{\text{Frequency}}{\text{Number of observations}}$

The relative frequency distribution is as follows,

Class	Frequency	Relative Frequency
A	1	$\frac{1}{20}=0.05$
B	3	$\frac{3}{20}=0.15$
C	7	$\frac{7}{20}=0.35$
D	7	$\frac{7}{20}=0.35$
E	2	$\frac{2}{20}=0.10$
Total	20	1

Part(c) Step 1. Drawing the Pie chart. 

The pie chart is as follows,

Part(d) Step 1. Drawing the bar chart. 

The bar chart is as follows,