Q. 2.24 - Elementary Statistics

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.

Step-by-Step Solution

Answer

Part(a) The frequency distribution is, 

Class	Frequency
A	3
B	6
C	4
D	3
E	4
Total	5

Part(b) The relative frequency distribution is,  

Class	Frequency	Relative Frequency
A	3	0.15
B	6	0.30
C	4	0.20
D	3	0.15
E	4	0.20
Total	20

Part(c) The pie chart is, 

Part(d) The bar chart is as follows, 

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	3
B	6
C	4
D	3
E	4
Total	5

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	3	$\frac{3}{20}=0.15$
B	6	$\frac{6}{20}=0.30$
C	4	$\frac{4}{20}=0.20$
D	3	$\frac{3}{20}=0.15$
E	4	$\frac{4}{20}=0.20$
Total	20

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,