Chapter 3 Review Homework Question 20

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Chapter 3 Review Homework Question 20

Question

Chapter 3 Review Homework

20.

Violent crimes include rape, robbery, assault, and homicide. The following is a summary of the violent-crime rate (violent crimes per 100,000 population) for all states of a country in a certain year. Complete parts (a) through (d).

 

(a) Provide an interpretation of these results. Choose the correct answer below.

  1. ​25% of the states have a​ violent-crime rate that is 273.8 crimes per​ 100,000 population or more.​ 50% of the states have a​ violent-crime rate that is 387.9 crimes per​ 100,000 population or more.​ 75% of the states have a​ violent-crime rate that is 529.1 crimes per​ 100,000 population or more.
  2. ​75% of the states have a​ violent-crime rate that is 273.8 crimes per​ 100,000 population or less.​ 50% of the states have a​ violent-crime rate that is 387.9 crimes per​ 100,000 population or less.​ 25% of the states have a​ violent-crime rate that is 529.1 crimes per​ 100,000 population or less.
  3. ​25% of the states have a​ violent-crime rate that is 273.8 crimes per​ 100,000 population or less.​ 50% of the states have a​ violent-crime rate that is 387.9 crimes per​ 100,000 population or less.​ 75% of the states have a​ violent-crime rate that is 529.1 crimes per​ 100,000 population or less

 

(b) Determine and interpret the interquartile range.
 
The interquartile range is ____ crimes per 100,000 population.
 
 

Interpret the interquartile range. Choose the correct answer below.

  1. The middle​ 50% of all observations have a range of 114.1 crimes per​ 100,000 population.
  2. The middle​ 25% of all observations have a range of 255.3 crimes per​ 100,000 population.
  3. All observations have a range of  255.3 crimes per​ 100,000 population.
  4. The middle​ 50% of all observations have a range of 255.3 crimes per​ 100,000 population.

 

(c) The violent-crime rate in a certain state of the country in that year was 1,467. Would this be an outlier?

 
The lower fence is _____ crimes crimes per 100,000 population.
 
The upper fence is ____ crimes per 100,000 population.

 

The​ violent-crime rate in a certain state of the country in that year was 1,467.   Would this be an​ outlier?

  1. ​Yes, because it is greater than the upper fence.
  2. ​Yes, because it is less than the upper fence.
  3. ​No, because it is less than the upper fence.
  4. ​No, because it is greater than the upper fence.

(d) Do you believe that the distribution of​ violent-crime rates is skewed or​ symmetric?

  1. The distribution of​ violent-crime rates is skewed left.
  2. The distribution of​ violent-crime rates is symmetric.
  3. The distribution of​ violent-crime rates is skewed right.

 

 

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This question is taken from Math 227 – Statistics » Summer 2021 » Chapter 3 Review Homework