Violent crimes include rape, robbery, assault, and homicide. The following is a

Question

Violent crimes include rape, robbery, assault, and homicide. The following is a summary of theviolent-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.

A. 25% of the states have a violent-crime rate that is 272.8272.8 crimes per 100,000 population or more. 50% of the states have a violent-crime rate that is 388.5388.5 crimes per 100,000 population or more. 75% of the states have a violent-crime rate that is

529.7529.7 crimes per 100,000 population or more.

B. 25% of the states have a violent-crime rate that is 272.8272.8 crimes per 100,000 population or less. 50% of the states have a violent-crime rate that is 388.5388.5 crimes per 100,000 population or less. 75% of the states have a violent-crime rate that is 529.7529.7 crimes per 100,000 population or less.

C. 75% of the states have a violent-crime rate that is 272.8272.8 crimes per 100,000 population or less. 50% of the states have a violent-crime rate that is 388.5388.5 crimes per 100,000 population or less. 25% of the states have a violent-crime rate that is 529.7529.7 crimes per 100,000 population or less.

(b) Determine and interpret the interquartile range.

The interquartile range is ___ crimes per 100,000 population.

(Type an integer or a decimal.)

Interpret the interquartile range. Choose the correct answer below.

A. All observations have a range of 256.9256.9 crimes per 100,000 population.

B. The middle 50% of all observations have a range of 115.7115.7 crimes per 100,000 population.

C. The middle 25% of all observations have a range of 256.9256.9 crimes per 100,000 population.

D. The middle 50% of all observations have a range of 256.9256.9 crimes per 100,000 population.

(c) The violent-crime rate in a certain state of the country in that year was1,679. Would this be anoutlier?

The lower fence is ___ crimes per 100,000 population.

The upper fence is ___ crimes per 100,000 population.

(Round to two decimal places as needed.)

The violent-crime rate in a certain state of the country in that year was 1,679. Would this be anoutlier?

A. Yes, because it is greater than the upper fence.

B. No, because it is greater than the upper fence.

C. Yes, because it is less than the upper fence.

D. No, because it is less than the upper fence.

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

A.The distribution of violent-crime rates is symmetric.

B.The distribution of violent-crime rates is skewed right.

C.The distribution of violent-crime rates is skewed left.

Explanation / Answer

a) Correct Answer: Option (B)
b) Correct Answer: Inter quartile range Q3-Q1 = 529.7 - 272.8= 256.9 crimes per 100,000 population.
Correct option D. The middle 50% of all observations have a range of 256.9256.9 crimes per 100,000 population.
c) Lower Fence = Q1 - 1.5 IQR = 272.8-1.5*256.9 =-112.55
Upper fence = Q3+1.5IQR = 529.7 + 1.5*272.8 = 658.15
d) Correct option (A)Yes, because it is greater than the upper fence.
e) Q3 - Q2 = 529.7-388.5 = 128.8 > Q2-Q1 = 388.5-272.8 = 115.7
Correct option (B)The distribution of violent-crime rates is skewed right.

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