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Unformatted text preview: Chapter 2 Descriptive Statistics: Tabular and Graphical Presentations Learning Objectives 1. Learn how to construct and interpret summarization procedures for categorical data such as: frequency and relative frequency distributions, bar charts and pie charts. 2. Learn how to construct and interpret tabular summarization procedures for quantitative data such as: frequency and relative frequency distributions, cumulative frequency and cumulative relative frequency distributions. 3. Learn how to construct a dot plot, a histogram, and an ogive as graphical summaries of quantitative data. 4. Learn how the shape of a data distribution is revealed by a histogram. Learn how to recognize when a data distribution is negatively skewed, symmetric, and positively skewed. 5. Be able to use and interpret the exploratory data analysis technique of a stemandleaf display. 6. Learn how to construct and interpret cross tabulations and scatter diagrams of bivariate data. 2  1 Chapter 2 Solutions: 1. Class Frequency Relative Frequency A 60 60/120 = 0.50 B 24 24/120 = 0.20 C 36 36/120 = 0.30 120 1.00 2. a. 1  (.22 + .18 + .40) = .20 b. .20(200) = 40 c/d. Class Frequency Percent Frequency A .22(200) = 44 22 B .18(200) = 36 18 C .40(200) = 80 40 D .20(200) = 40 20 Total 200 100 3. a. 360° x 58/120 = 174° b. 360° x 42/120 = 126° c. d. 2  2 Yes 48.3% No 35.0% No Opinion 16.7% Descriptive Statistics: Tabular and Graphical Presentations 10 20 30 40 50 60 70 Yes No No Opinion Response Frequency 4. a. Categorical. b. TV Show Frequency Percent Frequency Law & Order 10 20% CSI 18 36% Without a Trace 9 18% Desperate Housewives 13 26% Total: 50 100% 2 4 6 8 10 12 14 16 18 20 L&O CSI Trace Housewives TV Show Frequency 2  3 Chapter 2 d. CSI had the largest viewing audience. Desperate Housewives was in second place. 5. a. Name Frequency Relative Frequency Percent Frequency Brown 7 .14 14% Davis 6 .12 12% Johnson 10 .20 20% Jones 7 .14 14% Smith 12 .24 24% Williams 8 .16 16% 50 1.00 b. 2 4 6 8 10 12 14 Brown Davis Johnson Jones Smith Williams Name Frequency c. Brown .14 x 360 = 50.4 ° Davis .12 x 360 = 43.2 ° Johnson .20 x 360 = 72.0 ° Jones .14 x 360 = 50.4 ° Smith .24 x 360 = 86.4 ° Williams .16 x 360 = 57.6 ° 2  4 L&O 20% CSI 36% Trace 18% Housewives 26% Descriptive Statistics: Tabular and Graphical Presentations d. Most common: Smith, Johnson and Williams 6. a. Network Frequency Percent Frequency ABC 15 30% CBS 17 34% FOX 1 2% NBC 17 34% Total 50 100% 2 4 6 8 10 12 14 16 18 ABC CBS FOX NBC Network Frequency b. CBS and NBC are tied, each with 17 of the top rated television shows. ABC is a close third with 15. The fact that the three networks are so close is surprising. FOX, the newest television network, does not have the history to compete with the other three networks in term of the top rated shows in television history....
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 Spring '11
 Burns
 Frequency, Frequency distribution, Histogram, Kompakt, Kompakt albums

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