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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.
- 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.
- 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.
- 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
Interpret the interquartile range. Choose the correct answer below.
- The middle 50% of all observations have a range of 114.1 crimes per 100,000 population.
- The middle 25% of all observations have a range of 255.3 crimes per 100,000 population.
- All observations have a range of 255.3 crimes per 100,000 population.
- 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 violent-crime rate in a certain state of the country in that year was 1,467. Would this be an outlier?
- Yes, because it is greater than the upper fence.
- Yes, because it is less than the upper fence.
- No, because it is less than the upper fence.
- No, because it is greater than the upper fence.
(d) Do you believe that the distribution of violent-crime rates is skewed or symmetric?
- The distribution of violent-crime rates is skewed left.
- The distribution of violent-crime rates is symmetric.
- The distribution of violent-crime rates is skewed right.