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chap002_solutions - Chapter 02 Descriptive Statistics...

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Chapter 02 - Descriptive Statistics: Tabular and Graphical Methods CHAPTER 2 Descriptive Statistics: Tabular and Graphical Methods 2.1 Constructing either a frequency or a relative frequency distribution helps identify and quantify patterns in how often various categories occur. 2.2 Relative frequency of any category is calculated by counting the number of occurrences of the category divided by the total number of observations. Percent frequency is calculated by multiplying relative frequency by 100. 2.3 Answers and examples will vary. 2.4 a. Relative Percent Category / Class Frequency Frequency Frequency A 100 0.40 40% B 25 0.10 10% C 75 0.30 30% D 50 0.20 20% b. Bar Chart of Grade Frequency 0 20 40 60 80 100 120 A B C D Answer Frequency 2.5 a. (100 / 250) * 360 degrees = 144 degrees b. (25 / 250) * 360 degrees = 36 degrees c. Pie Chart of Grade Frequency 40% 10% 30% 20% A B C D 2- 1
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Chapter 2: Descriptive Statistics: Tabular & Graphical Methods 2.6 a. Relative frequency for product x is 1 – (0.15 + 0.36 + 0.28) = 0.21 b. Product: W X Y Z 75 105 180 140 c. Percent Frequency Bar Chart For Product 0% 5% 10% 15% 20% 25% 30% 35% 40% W X Y Z Product Percent Frequency d. Degrees for W would be 54, for X degrees would be 75.6, for Y 129.6, and for Z 100.8. 2.7 a. Pizza Restaurant Frequency Relative Frequency Godfather’s 3 0.12 Papa John’s 9 0.36 Little Caesar’s 2 0.08 Pizza Hut 6 0.24 Domino’s 5 0.20 b. Percentage Bar Chart For Pizza Restaurant 0% 5% 10% 15% 20% 25% 30% 35% 40% Godfather's Papa John's Little Caeser's Pizza Hut Domino's Restaurant Percent
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Chapter 02 - Descriptive Statistics: Tabular and Graphical Methods c. Pie Chart For Pizza Restaurant 12% 36% 8% 24% 20% Godfather's Papa John's Little Caeser's Pizza Hut Domino's d. Most popular is Papa John’s and least popular is Little Caeser’s. 2.8 a. Tally for Discrete Variables: Sports League Sports Rel. League Count Freq. Percent MLB 11 0.22 22.00 MLS 3 0.06 6.00 NBA 8 0.16 16.00 NFL 23 0.46 46.00 NHL 5 0.10 10.00 N= 50 b. 2- 3
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Chapter 2: Descriptive Statistics: Tabular & Graphical Methods c. d. Most popular league is NFL and least popular is MLS. 2.9 a .
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Chapter 02 - Descriptive Statistics: Tabular and Graphical Methods b. 2.10 a. US Market Share In 2005 0.00% 5.00% 10.00% 15.00% 20.00% 25.00% 30.00% Daimler- Chrysler Ford GM Japanese Other Imports Manufacturer Percent 2- 5
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Chapter 2: Descriptive Statistics: Tabular & Graphical Methods b. US Market Shares In 2005 14% 18% 26% 28% 14% Daimler-Chrysler Ford GM Japanese Other Imports 2.11 Medical Ins. Coverage For Income < $30,000 per year Medicare/Medic aid, 33% Private, 50% None, 17% Medical Ins. Coverage For Income > $75,000 per year Medicare/Medic aid, 9% Private, 87% None, 4% 2.12 a. 32.29% b. 4.17% c. Explanations will vary
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Chapter 02 - Descriptive Statistics: Tabular and Graphical Methods 2.13 a. We construct a frequency distribution and a histogram for a data set so we can gain some insight into the shape, center, and spread of the data along with whether or not outliers exist. b. A frequency histogram represents the frequency in a class by bars while in a frequency polygon the frequencies in consecutive classes are connected by a line.
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