Chapter 1

Problem 1.34: Table gives the number of active medical doctors per 100,000 people in each state. a) Why is the number of doctors per 100,000 people a better measure of the availability of health care than a simple count of the number of doctors in a state? b) Make a histogram that displays the distribution of doctors per 100,000 people. Write a brief description of the distribution. Are there any outliers? If so, can you explain them?

Problem 1.44: Alligator Attacks. Here are data on the number of unprovoked attacks by alligators on people in Florida over a 33 year period:

1. 
   
   Make a histogram of the counts of attacks. What is the overall shape of the distribution? What is the midpoint of the yearly counts of alligator attacks?
   
   b) Make a time plot. What overall pattern does your plot show? Why is the typical number of attacks from 1972 to 2004 not very useful in (say) 2006? (The main reason for the time trend is the continuing increase in Florida's population)
   
   

Chapter 2

2.23: Incomes of College grads. The Census Bureau reports that the mean and median income of people at least 25 years old who had a bachelor's degree but no higher degree were $42,087 and $53,581 in 2004. Which of these numbers is the mean and which is the median? Explain your reasoning.

2.39: Return on stocks. How well have stocks done of the past generation? The Standard and Poor's 500 stock index describes the average performance of the stocks of 500 leading companies. Because the average is weighted by the total market value of each company's stock, the index emphasizes larger companies. Here are the real (that is, adjusted for the changing buying power of the dollar) returns on the S&P for the years 1972 to 2004:

What can you say about the distribution of real returns on stocks? Follow the four-step process in your answer.

2.45 Carbon dioxide emissions.
Table gives CO2 emissions per person for countries with population at least 20 million. A stem plot or histogram shows that the distribution is strongly skewed to the right. The US and several other countries appear to be high outliers.

1. 
   
   Give the 5-number summary. Explain why this summary suggests this distribution is right-skewed.
   b) Which countries are outliers according to the 1.5 x I QR rule? Make a stemplot of the data. Do you agree with the rule's suggestion about which countries are and are not outliers?

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