Descriptive Statistics - Tabular and Graphical Displays Chapter 2 Answers 2

69. Refer to Exhibit 2-2. The percent frequency of industries that are classified as electronics is a. 10 b. 20 c. 0.10 d. 0.20 ANS: B Exhibit 2-3 The number of sick days taken (per month) by 200 factory workers is summarized below. Number of Days 0− 5 6 − 10 11 − 15 16 − 20 Frequency 120 65 14 1 70. Refer to Exhibit 2-3. The class width for this distribution a. is 5 b. is 6 c. is 20, which is: the largest value minus the smallest value or 20 − 0 = 20 d. varies from class to class ANS: B 71. Refer to Exhibit 2-3. The midpoint of the first class is a. 10 b. 2 c. 2.5 d. 3 ANS: C 72. Refer to Exhibit 2-3. The number of workers who took less than 11 sick days per month a. was 15 b. was 200 c. was 185 d. was 65 ANS: C 73. Refer to Exhibit 2-3. The number of workers who took at most 10 sick days per month a. was 15 b. was 200 c. was 185 d. was 65 ANS: C 74. Refer to Exhibit 2-3. The number of workers who took more than 10 sick days per month a. was 15 b. was 200 c. was 185 d. was 65 ANS: A 75. Refer to Exhibit 2-3. The number of workers who took at least 11 sick days per month a. was 15 b. was 200 c. was 185 d. was 65 ANS: A 76. Refer to Exhibit 2-3. The relative frequency of workers who took 10 or fewer sick days a. was 185 b. was 0.925 c. was 93 d. was 15 ANS: B 77. Refer to Exhibit 2-3. The cumulative relative frequency for the class of 11 − 15 a. is 199 b. is 0.07 c. is 1 d. is 0.995 ANS: D 78. Refer to Exhibit 2-3. The percentage of workers who took 0 - 5 sick days per month was a. 20% b. 120% c. 75% d. 60% ANS: D 79. Refer to Exhibit 2-3. The cumulative percent frequency for the class of 16 − 20 is a. 100% b. 65% c. 92.5% d. 0.5% ANS: A 80. Refer to Exhibit 2-3. The cumulative frequency for the class of 11 − 15 a. is 200 b. is 14 c. is 199 d. is 1 ANS: C Exhibit 2-4 A survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Graduate School Yes No Total Business 35 91 126 Undergraduate Major Engineering 42 104 146 Others 63 65 128 Total 140 260 400 81. Refer to Exhibit 2-4. What percentage of the students does not plan to go to graduate school? a. 280 b. 520 c. 65 d. 32 ANS: C 82. Refer to Exhibit 2-4. What percentage of the students' undergraduate major is engineering? a. 292 b. 520 c. 65 d. 36.5 ANS: D 83. Refer to Exhibit 2-4. Of those students who are majoring in business, what percentage plans to go to graduate school? a. 27.78 b. 8.75 c. 70 d. 72.22 ANS: A 84. Refer to Exhibit 2-4. Among the students who plan to go to graduate school, what percentage indicated "Other" majors? a. 15.75 b. 45 c. 54 d. 35 ANS: B PROBLEM 1. Thirty students in the School of Business were asked what their majors were. The following represents their responses (M = Management; A = Accounting; E = Economics; O = Others). A E M M E A M M O A A A M O M M E E E M E M A M O M A A A M a. b. Construct a frequency distribution and a bar chart. Construct a relative frequency distribution and a pie chart. ANS: a. and b. Major M A E O Total Frequency 12 9 6 3 30 Relative Frequency 0.4 0.3 0.2 0.1 1.0 2. Twenty employees of ABC Corporation were asked if they liked or disliked the new district manager. Below are their responses. Let L represent liked and D represent disliked. L D D D a. b. L D L D D L D D L L D D D D L L Construct a frequency distribution and a bar chart. Construct a relative frequency distribution and a pie chart. ANS: a. and b. Preferences L D Total Frequency 8 12 20 Relative Frequency 0.4 0.6 1.0 3. A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below. A C B C a. b. B C A B A B B C B B B B C B B A Develop a frequency distribution and a bar chart for her grades. Develop a relative frequency distribution for her grades and construct a pie chart. ANS: a. and b. Grade A B C Total Frequency 4 11 5 20 Relative Frequency 0.20 0.55 0.25 1.00 4. A sample of 50 TV viewers were asked, "Should TV sponsors pull their sponsorship from programs that draw numerous viewer complaints?" Below are the results of the survey. (Y = Yes; N = No; W = Without Opinion) N N Y W N a. b. W Y N W Y N N Y N N N N W W Y Y N N Y N N N Y W W N N W N Y N Y W W Y Y N N Y N N N Y W Y Construct a frequency distribution and a bar chart. Construct a relative frequency distribution and a pie chart. ANS: a. and b. Response No Yes Without Opinion Total Frequency 24 15 11 50 Relative Frequency 0.48 0.30 0.22 1.00 5. Forty shoppers were asked if they preferred the weight of a can of soup to be 6 ounces, 8 ounces, or 10 ounces. Below are their responses. 6 10 8 6 a. b. 6 10 8 8 6 8 8 8 10 8 10 8 8 6 8 10 8 6 8 10 8 6 6 8 10 8 10 10 6 6 8 8 6 6 6 6 Construct a frequency distribution and graphically represent the frequency distribution. Construct a relative frequency distribution and graphically represent the relative frequency distribution. ANS: a. and b. Preferences 6 ounces 8 ounces 10 ounces Total Frequency 14 17 9 40 Relative Frequency 0.350 0.425 0.225 1.000 6. There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Management, and Marketing. The following shows the number of students in each major. Major Accounting Finance Management Marketing Number of Students 240 160 320 80 Develop a percent frequency distribution and construct a bar chart and a pie chart. ANS: Major Accounting Finance Management Marketing Percent Frequency 30% 20% 40% 10% re given the examination scores of 20 students. 52 63 92 90 a. b. c. d. 99 72 58 75 92 76 65 74 86 95 79 56 84 88 80 99 Construct a frequency distribution for this data. Let the first class be 50 - 59 and draw a histogram. Construct a cumulative frequency distribution. Construct a relative frequency distribution. Construct a cumulative relative frequency distribution. ANS: a. Score 50 − 59 60 − 69 b. Frequency 3 2 c. Relative Frequency 3 5 d. Cumulative Frequency 0.15 0.10 Cumulative Relative Frequency 0.15 0.25 70 − 79 80 − 89 90 − 99 Total 5 4 6 20 10 14 20 0.25 0.20 0.30 1.00 0.50 0.70 1.00 8. Two hundred members of a fitness center were surveyed. One survey item stated, "The facilities are always clean." The members' responses to the item are summarized below. Fill in the missing value for the frequency distribution. Opinion Strongly Agree Agree Disagree Strongly Disagree No Opinion Frequency 63 92 15 14 ANS: 16 9. Fill in the missing value for the following relative frequency distribution. Opinion Strongly Agree Agree Disagree Strongly Disagree No Opinion Relative Frequency 0.315 0.460 0.075 0.070 ANS: 0.080 10. Fill in the missing value for the following percent frequency distribution. Annual Salaries Under $30,000 $30,000 − 49,999 $50,000 − 69,999 $70,000 − 89,999 $90,000 and over ANS: 10 Percent Frequency 10 35 40 5 11. The following is a summary of the number of hours spent per day watching television for a sample of 100 people. What is wrong with the frequency distribution? Hours/Day 0−1 1−3 3−5 5−7 7−9 Frequency 10 45 20 20 5 ANS: The classes overlap. 12. A summary of the results of a job satisfaction survey follows. What is wrong with the relative frequency distribution? Rating Poor Fair Good Excellent Relative Frequency .15 .45 .25 .30 ANS: The relative frequencies do not sum to 1. 13. The frequency distribution below was constructed from data collected from a group of 25 students. Height in Inches 58 − 63 64 − 69 70 − 75 76 − 81 82 − 87 88 − 93 94 − 99 a. b. c. Frequency 3 5 2 6 4 3 2 Construct a relative frequency distribution. Construct a cumulative frequency distribution. Construct a cumulative relative frequency distribution. ANS: a. Height (inches) Frequency b. Relative Frequency c. Cumulative Frequency Cumulative Relative Frequency 3 5 2 6 4 3 2 58 − 63 64 − 69 70 − 75 76 − 81 82 − 87 88 − 93 94 − 99 0.12 0.20 0.08 0.24 0.16 0.12 0.08 1.00 3 8 10 16 20 23 25 0.12 0.32 0.40 0.64 0.80 0.92 1.00 14. The frequency distribution below was constructed from data collected on the quarts of soft drinks consumed per week by 20 students. Quarts of Soft Drink 0−3 4−7 8 − 11 12 − 15 16 − 19 a. b. c. Frequency 4 5 6 3 2 Construct a relative frequency distribution. Construct a cumulative frequency distribution. Construct a cumulative relative frequency distribution. ANS: a. Quarts of Soft Drinks 0−3 4−7 8 − 11 12 − 15 16 − 19 Total b. Relative Frequency 0.20 0.25 0.30 0.15 0.10 1.00 c. Cumulative Frequency 4 9 15 18 20 15. The grades of 10 students on their first management test are shown below. 94 68 a. b. c. 61 75 96 85 66 84 92 78 Construct a frequency distribution. Let the first class be 60 − 69. Construct a cumulative frequency distribution. Construct a relative frequency distribution. ANS: Cumulative Relative Frequency 0.20 0.45 0.75 0.90 1.00 a. Class 60 − 69 70 − 79 80 − 89 90 − 99 Total b. c. Cumulative Frequency 3 5 7 10 Frequency 3 2 2 3 10 Relative Frequency 0.3 0.2 0.2 0.3 1.0 16. You are given the following data on the ages of employees at a company. Construct a stem-and-leaf display. Specify the leaf unit for the display. 26 52 41 42 32 44 53 44 28 36 55 40 45 42 48 36 58 27 32 37 ANS: Leaf Unit = 1 2|6 7 8 3|2 2 6 4|0 1 2 5|2 3 5 6 4 8 7 4 5 8 17. Construct a stem-and-leaf display for the following data. Specify the leaf unit for the display. 12 49 52 43 51 45 37 19 47 36 40 32 38 44 26 48 57 22 31 18 ANS: Leaf Unit = 1 1|2 8 9 2|2 6 3|1 2 6 4|0 3 4 5|1 2 7 7 5 8 7 8 9 18. You are given the following data on the earnings per share for ten companies. Construct a stem-andleaf display. Specify the leaf unit for the display. 2.6 1.4 1.3 0.5 2.2 1.1 1.1 0.7 0.9 2.0 ANS: Leaf Unit = 0.1 0|5 7 9 1|1 1 3 2|0 2 6 4 19. You are given the following data on the annual salaries for eight employees. Construct a stem-and-leaf display. Specify the leaf unit for the display. $26,500 $26,890 $27,850 $25,400 $25,000 $26,150 $27,460 $30,000 ANS: Leaf Unit = 100 25 | 0 4 26 | 1 5 8 27 | 4 8 28 | 29 | 30 | 0 20. You are given the following data on the price/earnings (P/E) ratios for twelve companies. Construct a stem-and-leaf display. Specify the leaf unit for the display. 23 8 25 36 39 48 47 28 22 37 37 26 ANS: Leaf Unit = 1 0|8 1| 2|2 3 5 3|6 7 7 4|7 8 6 9 8 21. You are given the following data on times (in minutes) to complete a race. Construct a stem-and-leaf display. Specify the leaf unit for the display. 15.2 14.7 15.8 14.8 12.4 11.8 11.9 12.0 15.2 12.1 download full file at http://testbankcafe.com ANS: Leaf Unit = 0.1 11 | 8 9 12 | 0 1 4 13 | 14 | 7 8 15 | 2 2 8 22. The SAT math scores of a sample of business school students and their genders are shown below. Gender Female Male Total a. b. c. d. e. Less than 400 24 40 64 SAT Math Scores 400 up to 600 168 96 264 600 and more 48 24 72 Total 240 160 400 How many students scored less than 400? How many students were female? Of the male students, how many scored 600 or more? Compute row percentages and comment on any relationship that may exist between SAT math scores and gender of the individuals. Compute column percentages. ANS: a. b. c. d. 64 240 24 Gender Female Male Less than 400 10% 25% SAT Math Scores 400 up to 600 70% 60% 600 and more 20% 15% Total 100% 100% From the above percentages it can be noted that the largest percentages of both genders' SAT scores are in the 400 to 600 range. However, 70% of females and only 60% of males have SAT scores in this range. Also it can be noted that 10% of females' SAT scores are under 400, whereas, 25% of males' SAT scores fall in this category. e. Gender Female Male Total Less than 400 37.5% 62.5% 100% SAT Math Scores 400 up to 600 63.6% 36.4% 100% 600 and more 66.7% 33.3% 100%