Question

The violent-crime rate in a certain state of the country in that year was 1,496. Would this be an outlier? O A. No, because it is less than the upper fence OB. Yes, because it is less than the upper fence. OC. Yes, because it is greater than the upper fence. OD. No, because it is greater than the upper fence (d) Do you believe that the distribution of violent-crime rates is skewed or symmetric?

Answer 1

Answer:

The violent-crime rate in a certain state of the country in that year was 1,496

Would this be an outlier?

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

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

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

Step-by-step explanation:

The violent-crime rate in a certain state of the country in that year was 1,496

The lower fence is 272.8 - 1.5 x 255.5 = -110.45 crimes per​ 100,000 population.

The upper fence is 528.3 + 1.5 x 255.5 = 911.55 crimes per​ 100,000 population.

Since violent-crime rate in this certain state of the country in that year is greater than the upper fence (1496>911.55), then it is an outlier.

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

The distribution of violent-crime rates is not symmetric, as there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail to have data are either skewed left or skewed​ right, in this case it is skewed​ right, as there are large observations in the right tail that tend to increase the value of the​ mean, while having little effect on the median.