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Solved: Violent Crimes Use the violent crime rate data
Chapter 9, Problem 47AYU(choose chapter or problem)
Problem 47AYU
Violent Crimes Use the violent crime rate data from Problem to answer each of the following:
Problem
Violent Crimes Violent crimes include murder, forcible rape, robbery, and aggravated assault. The following data represent the violent-crime rate (crimes per 100,000 population) by state plus the District of Columbia in 2009.
(a) If thirteen classes are to be formed, choose an appropriatelower class limit for the first class and a class width.
(b) Construct a frequency distribution.
(c) Construct a relative frequency distribution.
(d) Construct a frequency histogram of the data.
(e) Construct a relative frequency histogram of the data.
(f) Describe the shape of the distribution.
Questions & Answers
QUESTION:
Problem 47AYU
Violent Crimes Use the violent crime rate data from Problem to answer each of the following:
Problem
Violent Crimes Violent crimes include murder, forcible rape, robbery, and aggravated assault. The following data represent the violent-crime rate (crimes per 100,000 population) by state plus the District of Columbia in 2009.
(a) If thirteen classes are to be formed, choose an appropriatelower class limit for the first class and a class width.
(b) Construct a frequency distribution.
(c) Construct a relative frequency distribution.
(d) Construct a frequency histogram of the data.
(e) Construct a relative frequency histogram of the data.
(f) Describe the shape of the distribution.
ANSWER:
Answer :
Step 1: Violent crimes include murder, forcible rape, robbery, and aggravated assault. The following data represent the violent-crime rate (crimes per 100,000 population) by state plus the District of Columbia in 2009.
- By definition, the class width using the formula.
Class width
From the given data,the largest data value is 1345.9,smallest data value is 119.8 and the number of desired classes is 13.
Therefore ,
Class width =
= 94.315
100
Therefore, Lower class limit of first class: 100; class width: 100.
b). To construct a frequency distribution.
Class |
Frequency |
100-199 |
4 |
200-299 |
17 |
300-399 |
7 |
400-499 |
11 |
500-599 |
3 |