b Are there any potential outliers If so which scores are they Why do you

B are there any potential outliers if so which scores

This preview shows page 34 - 40 out of 89 pages.

b. Are there any potential outliers? If so, which scores are they? Why do you consider them outliers? Solution a. Stem Leaf
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5 1 6 7 6 7 8 9 8 1 2 4 6 9 9 b. 51, 99 51 is 25 points below the nearest exam value, and 99 is 13 points above the nearest exam value. These two scores are clearly separate from the rest of the data. They are outliers. Exercise 75. Table 1.61 contains the 2010 obesity rates in U.S. states and Washington, DC. State Percent (%) State Percent (%) State Percent (%) Alabama 32.2 Kentucky 31.3 North Dakota 27.2 Alaska 24.5 Louisiana 31.0 Ohio 29.2 Arizona 24.3 Maine 26.8 Oklahoma 30.4 Arkansas 30.1 Maryland 27.1 Oregon 26.8 California 24.0 Massachusetts 23.0 Pennsylvania 28.6 Colorado 21.0 Michigan 30.9 Rhode Island 25.5 Connecticut 22.5 Minnesota 24.8 South Carolina 31.5 Delaware 28.0 Mississippi 34.0 South Dakota 27.3 Washington, DC 22.2 Missouri 30.5 Tennessee 30.8 Florida 26.6 Montana 23.0 Texas 31.0 Georgia 29.6 Nebraska 26.9 Utah 22.5
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Hawaii 22.7 Nevada 22.4 Vermont 23.2 Idaho 26.5 New Hampshire 25.0 Virginia 26.0 Illinois 28.2 New Jersey 23.8 Washington 25.5 Indiana 29.6 New Mexico 25.1 West Virginia 32.5 Iowa 28.4 New York 23.9 Wisconsin 26.3 Kansas 29.4 North Carolina 27.8 Wyoming 25.1 Table 1.61 a. Use a random number generator to randomly pick eight states. Construct a bar graph of the obesity rates of those eight states. b. Construct a bar graph for all the states beginning with the letter "A." c. Construct a bar graph for all the states beginning with the letter "M." Solution a. Example solution for using the random number generator for the TI-84+ to generate a simple random sample of 8 states. Instructions are as follows. Number the entries in the table 1–51 (Includes Washington, DC; Numbered vertically) Press MATH Arrow over to PRB Press 5:randInt( Enter 51,1,8) Eight numbers are generated (use the right arrow key to scroll through the numbers). The numbers correspond to the numbered states (for this example: {47 21 9 23 51 13 25 4}. If any numbers are repeated, generate a different number by using 5:randInt(51,1)). Here, the states (and Washington DC) are {Arkansas, Washington DC, Idaho, Maryland, Michigan, Mississippi, Virginia, Wyoming}. Corresponding percents are {30.1, 22.2, 26.5, 27.1, 30.9, 34.0, 26.0, 25.1}.
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b. c. Exercise Suppose that three book publishers were interested in the number of fiction
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76. paperbacks adult consumers purchase per month. Each publisher conducted a survey. In the survey, adult consumers were asked the number of fiction paperbacks they had purchased the previous month. The results are as follows: # of books Freq. Rel. Freq. 0 10 1 12 2 16 3 12 4 8 5 6 6 2 8 2 Table 1.62 Publisher A # of books Freq. Rel. Freq. 0 18 1 24 2 24 3 22 4 15 5 10
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7 5 9 1 Table 1.63 Publisher B # of books Freq. Rel. Freq. 0–1 20 2–3 35 4–5 12 6–7 2 8–9 1 Table 1.64 Publisher C a. Find the relative frequencies for each survey. Write them in the charts. b. Using either a graphing calculator, computer, or by hand, use the frequency column to construct a histogram for each publisher's survey. For Publishers A and B, make bar widths of one. For Publisher C, make bar widths of two.
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