Question

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). Q1 = 272.8, Q2 = 388.5, Q3 = 528.3 (a) Provide an interpretation of these results. Choose the correct answer below. O A. 25% of the states have a violent-crime rate that is 272.8 crimes per 100,000 population or less. 50% of the states have a violent-crime rate that is 388.5 crimes per 100,000 population or less. 75% of the states have a violent-crime rate that is 528.3 crimes per 100,000 population or less. OB. 75% of the states have a violent-crime rate that is 272.8 crimes per 100,000 population or less. 50% of the states have a violent-crime rate that is 388.5 crimes per 100,000 population or less. 25% of the states have a violent-crime rate that is 528.3 crimes per 100,000 population or less. O C. 25% of the states have a violent-crime rate that is 272.8 crimes per 100,000 population or more. 50% of the states have a violent-crime rate that is 388.5 crimes per 100,000 population or more. 75% of the states have a violent-crime rate that is 528.3 crimes per 100,000 population or more. (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. O A. The middle 50% of all observations have a range of 255.5 crimes per 100.000 population. OB. All observations have a range of 255.5 crimes per 100,000 population. OC. The middle 25% of all observations have a range of 255.5 crimes per 100,000 population. OD. The middle 50% of all observations have a range of 115.7 crimes per 100,000 population. (c) The violent-crime rate in a certain state of the country in that year was 1,496. Would this be an outlier? 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 1,496. Would this be an outlier? O A. Yes, because it is greater than the upper fence OB. No, because it is greater than the upper fence. O C. Yes, because it is less than the upper fence. OD. No, because it is less than the upper fence. (d) Do you believe that the distribution of violent-crime rates is skewed or symmetric? O A. The distribution of violent-crime rates is symmetric. OB. The distribution of violent-crime rates is skewed left. O C. The distribution of violent-crime rates is skewed right

Answer 1

(a) Option A

(b) IQR = Q3 - Q1 = 255.5 and Option A

(c) Lower fence = Q1 - 1.5 IQR = -110.45 and Upper fence = Q3 + 1.5 IQR = 911.55

Option A

(d) γ_Q = [(528.3 - 388.5) - (388.5 - 272.8)]/(528.3 - 272.8) = 0.094

Since γ_Q > 0, the skewness is positive

Option C.