Question

In Exercises 2.60-2.71. we have presented some quantitative data sets and specified a grouping method for practicing the concepts. For each data set,

a. determine a frequency distribution

b. obtain a relative-frequency distribution.

c. construct a frequency histogram based on your result from part (a).

d. construct a relative-frequency histogram based on your result

from part (b).

Use single-value grouping.

Short answer

Part a. The frequency distribution is given as

Number	Tally	Frequency
0	|	1
1	|	1
2	||||	4
3	||||||||	8
4	||||||	6

Part b. The relative frequency distribution is given as

Number	Frequency	Relative Frequency
0	1	$\frac{1}{20}=0.05$
1	1	$\frac{1}{20}=0.05$
2	4	$\frac{4}{20}=0.2$
3	8	$\frac{8}{20}=0.4$
4	6	role="math" localid="1652894733960" $\frac{6}{20}=0.3$
Total	20	1

Part c. The frequency histogram is given as

Part d. The relative frequency histogram is given as

Step-by-step solution

Part (a) Step 1. Given Information 

We are given a quantitative data set.

Part (a) Step 2. Frequency Distribution

The data consists of five numbers $0,1,2,3,4$. So using single value grouping its frequency distribution is given as

Number	Tally	Frequency
0	|	1
1	|	1
2	||||	4
3	||||||||	8
4	||||||	6

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

Number	Frequency	Relative Frequency
0	1	$\frac{1}{20}=0.05$
1	1	$\frac{1}{20}=0.05$
2	4	$\frac{4}{20}=0.2$
3	8	role="math" localid="1652894452878" $\frac{8}{20}=0.4$
4	6	$\frac{6}{20}=0.3$
Total	20	1

Part (c) Step 1. Frequency histogram

The frequency histogram for the frequency distribution can be given as

Part (d) Step 1. Relative frequency histogram

The relative-frequency histogram for the relative-frequency distribution can be given as