# Ch02 - Chapter 2 Descriptive Statistics Tabular and...

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Chapter 2 Descriptive Statistics: Tabular and  Graphical Presentations Learning Objectives 1. Learn how to construct and interpret summarization procedures for qualitative data such as:  frequency and relative frequency distributions, bar graphs 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 stem-and-leaf display. 6. Learn how to construct and interpret cross tabulations and scatter diagrams of bivariate data. 2 - 1

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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. 2 - 2 Yes 48.3% No Opinion 16.7% No 35.0%
Descriptive Statistics: Tabular and Graphical Presentations d. 0 10 20 30 40 50 60 70 Yes No No Opinion Response Frequency 4. a. Qualitative. b. TV Show Frequency Percent  Frequency 10 20% CSI 18 36% Without a Trace   9 18% Desperate Housewives 13 26% Total: 50 100% 0 2 4 6 8 10 12 14 16 18 20 CSI Trace Housewives TV Show 2 - 3

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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 20% CSI 36% Trace 18% Housewives 26%
Descriptive Statistics: Tabular and Graphical Presentations 0 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 ° 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 - 5 Williams 16% Brown 14% Davis 12% Johnson 20% Jones 14% Smith 24%

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Chapter 2 0 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,
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## This note was uploaded on 09/27/2008 for the course MATH 410 taught by Professor Tang during the Fall '08 term at Bangladesh University of Eng and Tech.

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Ch02 - Chapter 2 Descriptive Statistics Tabular and...

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