# ismch02 - Chapter 2 Describing Data 3 Chapter 2 Describing...

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Chapter 2: Describing Data 3 Chapter 2: Describing Data 2-1 a. Numerical – discrete b. Numerical – discrete c. Numerical – discrete d. Categorical 2.2 a. Categorical data. The measurements levels are qualitative - ordinal. b. Categorical data. The measurement levels are are qualitative - nominal. c. Numerical data. Discrete. 2.3 The response is categorical because the responses can be grouped into classes or categories. The measurement levels are ordinal because these are rankings of the data. 2.4 a. This is yes-no categorical data, the measurement level is a nominal scale b. This is yes-no categorical data. The measurement level is a nominal scale c. This is numerical data. The measurement level is by a quantitative measurement = dollars 2-5 Various answers, one possibility is to use 8 classes with a width of .1: Minitab Output: Stem-and-Leaf Display: Water Stem-and-leaf of Water N = 75 Leaf Unit = 0.010 1 35 7 3 36 34 9 36 577799 21 37 111122344444 (17) 37 55566777777889999 37 38 0111112222244 24 38 556677899 15 39 01334444 7 39 56689 2 40 2 40 6 1 41 1

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4 th Edition 2-6 Answers will vary. One possibility is to use five classes with width of 10. a. If the first class is 50 less than 60, the following results: Classes Frequency 50 < 60 4 60 < 70 7 70 < 80 10 80 < 90 11 90<100 8 b. The cumulative frequency distribution is: Scores Cumulative Frequency < 60 4 or 10.00% < 70 11 or 27.50% < 80 21 or 52.50% < 90 32 or 80.00% <100 40 or100.00% c. Exercise 2.6 0 2 4 6 8 10 12 60 70 80 90 100 Scores Frequency 0% 20% 40% 60% 80% 100% d. Stem unit:10 5 4 6 6 9 6 0 2 2 6 7 8 8 7 0 0 3 3 3 5 7 8 9 9 8 1 1 2 3 3 5 6 6 8 9 9 9 0 0 1 3 3 4 5 8 2-7 Minitab Output: Stem-and-Leaf Display: Study Stem-and-leaf of Study N = 20 Leaf Unit = 0.10
Chapter 2: Describing Data 5 1 1 0 1 1 3 2 34 7 2 6889 8 3 0 (4) 3 5669 8 4 4 7 4 58 5 5 02 3 5 5 2 6 2 1 6 7 2-8 a. Exercise 2.8(a) 0 5 10 10.44510.94511.44511.94512.445 Forecast (\$ per share) Number of Analysts 0% 50% 100% Answer to b., c. and d. are: (b) (c) (d) Frequency Relative Freq. Cumulative Freq. Cumulative % 2 0.1 2 10.00% 8 0.4 10 50.00% 6 0.3 16 80.00% 3 0.15 19 95.00% 1 0.05 20 100.00% d. See the cumulative relative frequencies in the last column of the table above. These numbers indicate the percent of analysts who forecast that level of earnings per share and all previous classes, up to and including the current class. The third bin of 80% indicates that 80% of the analysts have forecasted up to and including that level of earnings per share. 2.9 a. Histogram – see output below b. Stem-and-leaf diagram – see output below c. Minitab output Histogram - Minitab

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th Edition 15 20 25 30 35 40 45 50 0 1 2 3 4 5 6 7 8 Returns Frequency Ex 2-9 Percent Return - 25 largest mutual funds Ogive – Minitab: 15 20 25 30 35 40 45 50 0 5 10 15 20 25 Returns Cumulative Frequency Ex 2-9 Percent return - 25 largest mutual funds
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ismch02 - Chapter 2 Describing Data 3 Chapter 2 Describing...

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