The histogram shows murder rates per 100,000 residents and the number of U.S. states

Chapter 12, Problem 73

(choose chapter or problem)

The histogram shows murder rates per 100,000 residents and the number of U.S. states that had these rates for a recent year. Use this histogram to solve Exercises 73–74.

a. Is the shape of this distribution best classified as normal, skewed to the right, or skewed to the left?

b. Calculate the mean murder rate per 100,000 residents for the 50 states and Washington, D.C.

c. Find the median murder rate per 100,000 residents for the 50 states and Washington, D.C.

d. Are the mean and median murder rates consistent with the shape of the distribution that you described in part (a)? Explain your answer.

e. The standard deviation for the data is approximately 4.2. If the distribution were roughly normal, what would be the z-score, rounded to one decimal place, for Washington, D.C.? Does this seem unusually high? Explain your answer.

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