100 Chapter 3 Numerical Summaries of Data East West State Number of Breweries State Number of Breweries Connecticut 18 Alaska 17 Delaware 10 Arizona 31 Florida 47 California 305 Georgia 22 Colorado 111 Illinois 52 Iowa 21 Kentucky 13 Louisiana 6 Maine 38 Minnesota 41 Maryland 23 Montana 30 Massachusetts 40 South Dakota 5 New Hampshire 16 Texas 37 New Jersey 20 Utah 15 New York 76 North Carolina 46 South Carolina 14 Tennessee 19 Vermont 20 Source: http://www.beerinstitute.org/ a. Find the mean number of breweries for states east of the Mississippi. b. Find the mean number of breweries for states west of the Mississippi. c. Find the median number of breweries for states east of the Mississippi. d. Find the median number of breweries for states west of the Mississippi. e. Does one region have a lot more breweries per state than the other, or are they about the same? f. The sample of western states happens to include California. Remove California from the sample of western states, and compute the mean and median for the remaining western states. g. How does the removal of California affect the comparison of the number of breweries between eastern and western states? 37. Gas prices: The following table presents the average price, in U.S. dollars per gallon, of unleaded regular gasoline in several countries in the years 2001 and 2007. Country 2001 2007 Australia 1.71 3.85 Canada 1.72 3.59 China 1.22 2.29 Germany 3.40 6.88 Japan 3.27 4.49 Mexico 2.20 2.40 South Korea 3.76 6.21 Taiwan 2.02 3.20 United States 1.46 2.80 Source: U.S. Department of Energy a. Find the mean and median gas price for 2001. b. Find the mean and median gas price for 2007. c. Which increased more between 2001 and 2007, the mean or the median? 38. House prices: The following table presents prices, in thousands of dollars, of single-family homes for 24 of the 25 largest metropolitan areas in the United States for the third quarter of 2007 and the third quarter of 2008 (information for Detroit was unavailable). Metro Area 2007 2008 Metro Area 2007 2008 Atlanta, GA 175.3 151.3 New York, NY 476.1 452.5 Baltimore, MD 291.4 279.2 Philadelphia, PA 243.0 241.1 Boston, MA 414.7 373.4 Phoenix, AZ 255.5 185.1 Chicago, IL 286.4 250.8 Pittsburgh, PA 127.7 122.7 Cincinnati, OH 145.3 136.0 Portland, OR 299.7 278.6 Cleveland, OH 132.7 116.4 Riverside, CA 375.1 227.2 Dallas, TX 153.7 150.2 St. Louis, MO 150.5 142.7 Denver, CO 254.1 225.1 San Diego, CA 589.3 377.3 Houston, TX 155.8 160.2 San Francisco, CA 824.2 615.7 Los Angeles, CA 602.9 391.4 Seattle, WA 394.7 350.0 Miami, FL 346.3 287.8 Tampa, FL 218.3 173.4 Minneapolis, MN 229.6 205.1 Washington, DC 438.0 332.7 Source: National Realtors Association
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