Q. 2.31 - Elementary Statistics

Question

For each data sets in Exercises 2.26-2.31, 

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. Construct a bar chart.

Road Rage. The report Controlling Road Rage: A Literature Review and Pilot Study was prepared for the AAA Foundation for Traffic Safety by D. Rathbone and J. Huckabee. The authors discuss the results of a literature review and pilot study on how to prevent aggressive driving and road rage. As described in the study, road rage is criminal behavior by motorists characterized by uncontrolled anger that results in violence or threatened violence on the road. One of the goals of the study was to determine when road rage occurs most often. The days on which 69 road rage incidents occurred are presented in the following table.

Step-by-Step Solution

Answer

Part a. The frequency distribution is given as

Day	Tally	Frequency
M	|||||	5
Tu	|||||||||||	11
W	||||||||||||	12
Th	|||||||||||	11
F	||||||||||||||||||	18
Sa	|||||||	7
Su	|||||	5

Part b. The relative frequency distribution is given as

Day	Frequency	Relative Frequency
M	5	$\frac{5}{69}=0.0725$
Tu	11	$\frac{11}{69}=0.1594$
W	12	$\frac{12}{69}=0.1739$
Th	11	$\frac{11}{69}=0.1594$
F	18	$\frac{18}{69}=0.2609$
Sa	7	$\frac{7}{69}=0.1014$
Su	5	$\frac{5}{69}=0.0725$
Total	69	1

Part c. The pie chart is given as

Part d. The bar chart is shown as

Part (a) Step 1. Given Information

We have been presented a table in which it is shown the days on which 69 road rage incidents occurred.

Part (a) Step 2. Frequency Distribution

For the given data we have seven days of a week. And the frequency distribution can be done as

Day	Tally	Frequency
M	|||||	5
Tu	|||||||||||	11
W	||||||||||||	12
Th	|||||||||||	11
F	||||||||||||||||||	18
Sa	|||||||	7
Su	|||||	5

Part (b) Step 1. Relative Frequency Distribution

The relative frequency distribution for the given data is given as

Day	Frequency	Relative Frequency
M	5	$\frac{5}{69}=0.0725$
Tu	11	$\frac{11}{69}=0.1594$
W	12	$\frac{12}{69}=0.1739$
Th	11	$\frac{11}{69}=0.1594$
F	18	$\frac{18}{69}=0.2609$
Sa	7	$\frac{7}{69}=0.1014$
Su	5	$\frac{5}{69}=0.0725$
Total	69	1

Part (c) Step 1. Pie Chart

The pie chart for the data is shown as 

Part (d) Step 1. Bar Chart

The bar chart for the data is shown as