Test Bank For Basic Statistics for Business and Economics 6Th Canadian Edition By Linda

Chapter 03 - Describing Data: Numerical Measures Multiple Choice Questions Chapter 03 Describing Data: Numerical Measures 1. i. A value that is typical or representative of the data is referred to as a measure of central tendency. ii. The arithmetic mean is the sum of the observations divided by the total number of observations iii. The value of the observation in the center after they have been arranged in numerical order is called the weighted mean A. (i), (ii), and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements but not (i). E. (i), (ii), and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-01 Introduction Topic: 03-02 The Population Mean Topic: 03-06 The Weighted Mean Topic: 03-08 The Median 3-1 Chapter 03 - Describing Data: Numerical Measures 2. Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000s, determine the mean of the selling prices at that time. List prices, Regina and surrounding area List Price (x000) 50 to under 100 100 to under 150 150 to under 200 200 to under 250 250 to under 300 300 to under 350 350 to under 400 400 to under 450 A. $188,330 B. $200,000 C. $125,000 D. $178,350 E. $195,600 Frequency M f*M 2 425 850 M^2*f 78750 359375 490000 911250 605000 528125 562500 361250 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-2 Chapter 03 - Describing Data: Numerical Measures 3. Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000's, determine the median of the selling prices at that time. List prices, Regina and surrounding area List Price (x000) 50 to under 100 100 to under 150 150 to under 200 200 to under 250 250 to under 300 300 to under 350 350 to under 400 400 to under 450 A. $188,330 B. $200,000 C. $125,000 D. $175,000 E. $195,600 Frequency M f*M 2 425 850 M^2*f 78750 359375 490000 911250 605000 528125 562500 361250 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-3 Chapter 03 - Describing Data: Numerical Measures 4. Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000s, determine the standard deviation of the selling prices at that time. List prices, Regina and surrounding area List Price (x000) 50 to under 100 100 to under 150 150 to under 200 200 to under 250 250 to under 300 300 to under 350 350 to under 400 400 to under 450 A. $88,330 B. $20,000 C. $25,000 D. $78,350 E. $88,939 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data Frequency M f*M 2 425 850 M^2*f 78750 359375 490000 911250 605000 528125 562500 361250 3-4 Chapter 03 - Describing Data: Numerical Measures 5. A sample of light trucks using diesel fuel revealed the following distribution based on fuel efficiency, i.e., litres per 100 km. Litres/100km 6 to under 9 9 to under 12 12 to under 15 15 to under 18 18 to under 21 21 to under 24 What is the arithmetic mean in litres per A. 16.9 B. 14.6 C. 17.0 D. 17.9 E. Mean cannot be estimated. Number of Trucks 2 5 10 8 3 2 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 100 km? 3-5 Chapter 03 - Describing Data: Numerical Measures 6. The ages of newly hired, unskilled employees were grouped into the following distribution: Ages Number 18 to under 21 4 21 to under 24 8 24 to under 27 11 27 to under 30 20 30 to under 33 7 What is the median age? A. 28.50 B. 28.08 C. 25.08 D. 27.14 E. 27.30 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-6 Chapter 03 - Describing Data: Numerical Measures 7. A sample of the daily production of transceivers was organized into the following distribution. Daily Production Frequencies 80 to under 90 5 90 to under 100 9 100 to under to under 120 8 120 to under 130 6 130 to under 140 2 What is the mean daily production? A. 86.4 B. 101.4 C. 111.4 D. 106.4 E. 20.0 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-7 Chapter 03 - Describing Data: Numerical Measures 8. The net sales of a sample of small stamping plants were organized into the following percent frequency distribution. Net Sales (in $millions) 1 to under 4 4 to under 7 7 to under 10 10 to under 13 13 or more What is the mean net sales (in $millions)? A. $7.09 B. $10.09 C. $8.59 D. $8.34 E. Mean cannot be computed Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data Percent of Total 3-8 Chapter 03 - Describing Data: Numerical Measures 9. A stockbroker placed the following order for a customer: -50 shares of Kaiser Aluminum preferred at $104 a share -100 shares of GTE preferred at $25 1/4 a share -20 shares of Boston Edison preferred at $9 1/8 a share What is the weighted arithmetic mean price per share? A. $25.25 B. $79.75 C. $103.50 D. $46.51 E. Weighted mean cannot be computed for this data set. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-02 Identify and compute a weighted mean. Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-06 The Weighted Mean Topic: 03-14 The Geometric Mean 10. During the past six months, the purchasing agent bought: Tons of Coal 1,200 Price per Ton $28.50 What is the weighted arithmetic mean price per ton? A. $87.25 B. $72.33 C. $68.47 D. $89.18 E. Weighted mean cannot be computed for this data set. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-06 The Weighted Mean 3,000 500 $87.25 $88.00 3-9 Chapter 03 - Describing Data: Numerical Measures 11. A sample of single persons receiving social security payments revealed these monthly benefits: $826, $699, $1,087, $880, $839 and $965. How many observations are below the median? A. 0 B. 1 C. 2 D. 3 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 12. The number of work stoppages in a highly industrialized region for selected months are: 6, 0, 10, 14, 8 and 0. What is the median number of stoppages? A. 0 B. 6 C. 7 D. 8 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 13. The Federal Aviation Administration reported that passenger revenues on international flights increased from $528 million in 1977 to $5,100 million in 2000. What is the geometric mean annual percent increase in international passenger revenues? A. 10.4 B. 27.9 C. 103.6 D. 9.96 Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-14 The Geometric Mean 3-10 Chapter 03 - Describing Data: Numerical Measures 14. The Investment Company Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 410 in 1990 to 857 in 2000. What is the geometric mean annual percent increase in the number of funds? A. 1.12 B. 7.65 C. 19.41 D. 48.66 Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-14 The Geometric Mean 15. Assume a student received the following grades for the semester: History, B; Statistics, A; Spanish, C; and English, C. History and English are 5 credit hour courses, Statistics a 4 credit hour course and Spanish a 3 credit hour course. If 4 grade points are assigned for an A, 3 for a B and 2 for a C, what is the weighted mean for the semester grades? A. 4.00 B. 1.96 C. 2.76 D. 3.01 E. 2.88 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-06 The Weighted Mean 16. Production of passenger cars in Japan increased from 3.94 million in 1990 to 6.74 million in 2000. What is the geometric mean annual percent increase? A. 4.0 B. 1.9 C. 5.5 D. 16.6 E. 47.3 Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-14 The Geometric Mean 3-11 Chapter 03 - Describing Data: Numerical Measures 17. A sample of the paramedical fees charged by clinics revealed these amounts: $55, $49, $50, $45, $52 and $55. What is the median charge? A. $47.50 B. $51.00 C. $52.00 D. $55.00 E. $48.00 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 18. The lengths of time (in minutes) several underwriters took to review applications for similar insurance coverage are: 50, 230, 52 and 57. What is the median length of time required to review an application? A. 54.5 B. 141.0 C. 97.25 D. 109.0 E. $55.40 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 19. The U.S. Department of Education reported that for the past six years 23, 19, 15, 30, 27 and 25 women received doctorate degrees in computer and information sciences. What is the mean arithmetic annual number of women receiving this degree? A. 15.1 B. 23.2 C. 37.9 D. 22.9 E. $22.3 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean 3-12 Chapter 03 - Describing Data: Numerical Measures 20. A bottling company offers three kinds of delivery service - instant, same day and within five days. The profit per delivery varies according to the kind of delivery. The profit for an instant delivery is less than the other kinds because the driver has to go directly to a grocery store with a small load and return to the bottling plant. To find out what effect each type of delivery has on the profit picture, the company has made the following tabulation based on deliveries for the previous quarter. Type of Delivery Instant Same day Within five days What is the weighted mean profit per delivery? A. $72 B. $100 C. $142 D. $97 E. $99 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-06 The Weighted Mean Number of Deliveries During the Quarter Profit per Delivery $ 100 60 40 3-13 Chapter 03 - Describing Data: Numerical Measures 21. The U.S. Department of Education reported that for the past seven years 4,033, 5,652, 6,407, 7,201, 8,719, 11,154, and 15,121 people received bachelor's degrees in computer and information sciences. What is the arithmetic mean annual number receiving this degree? A. About 12,240 B. About 8,327 C. About 6,217 D. About 15,962 E. About 8,399 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean 22. Which measure of central tendency is found by arranging the data from low to high, and selecting the middle value? A. Arithmetic mean B. Median C. Mode D. Geometric mean Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 23. The number of students at a local university increased from 2,500 students 5000 students in 10 years. Based on a geometric mean, the university grew at an average percentage rate of A. 2,500 students per year B. 1.071 students per year C. 7.1 percent per year D. 250 students per year E. Cannot be determined Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-14 The Geometric Mean 3-14 Chapter 03 - Describing Data: Numerical Measures 24. A question in a market survey asks for a respondent's favourite car colour. Which measure of central tendency should be used to summarize this question? A. Mode B. Median C. Mean D. Geometric mean E. Weighted mean Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-09 The Mode 25. AAA Heating and Air Conditioning completed 30 jobs last month with a mean revenue of $5,430 per job. The president wants to know the total revenue for the month. A. Insufficient information to estimate. B. $5,430 C. $54,330 D. $162,900 E. $169,200 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean Topic: 03-04 The Properties of the Arithmetic Mean 26. Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. Find the weighted mean hourly wage. A. $8 B. $9 C. $12 D. $6 E. $10 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-02 Identify and compute a weighted mean. Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-06 The Weighted Mean 3-15 Chapter 03 - Describing Data: Numerical Measures 27. Which one of the following is referred to as the population mean? A. Statistic B. μ C. Sample D.å Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-02 The Population Mean 28. If there are an odd number of observations in a set of ungrouped data that have been arrayed from low to high or vice versa, where is the median located? A. n B. n/2 C. (n + 1)/2 D. n + 1/2 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 29. For which measure of central tendency will the sum of the deviations of each value from that average always be zero? A. Mode B. Mean C. Median D. Geometric mean E. The sum of the deviations of each value from that average will always be zero for all measures of central tendency. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-06 The Weighted Mean Topic: 03-08 The Median Topic: 03-09 The Mode 3-16 Chapter 03 - Describing Data: Numerical Measures 30. Which measure of central tendency is used to determine the average annual percent increase? A. Arithmetic mean B. Weighted mean C. Mode D. Geometric mean E. Median Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-14 The Geometric Mean 31. Fifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors averaged 85, while ten finance majors averaged 93 on the same exam. What is the weighted mean for the 32 students taking the exam? A. 89.84 B. 89.33 C. 89.48 D. Impossible to determine without more information E. $89.88 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-06 The Weighted Mean 3-17 Chapter 03 - Describing Data: Numerical Measures 32. On a survey questionnaire, students were asked to indicate their class rank in college. If there were only four choices from which to choose, which measure(s) of central tendency would be appropriate to use for the data generated by that questionnaire item? A. Mean and median B. Mean and mode C. Mode and median D. Mode only E. Median only Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-08 The Median Topic: 03-09 The Mode 3-18 Chapter 03 - Describing Data: Numerical Measures 33. What is the median of 26, 30, 24, 32, 32, 31, 27 and 29? A. 32 B. 29 C. 30 D. 29.5 E. 30.5 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 34. The net incomes (in $millions) of a sample of steel fabricators are: $86, $67, $86 and $85. What is the modal net income? A. $67 B. $85 C. $85.5 D. $86 E. $84 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-09 The Mode 3-19 Chapter 03 - Describing Data: Numerical Measures 35. i. A parameter is a measurable characteristic of a sample. ii. The weighted mean is the nth root of n observations. iii. A statistic is a measurable characteristic of the population. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-02 The Population Mean Topic: 03-03 The Sample Mean Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-06 The Weighted Mean 3-20 Chapter 03 - Describing Data: Numerical Measures 36. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) Year Women Men Earnings Ratio(%) 62.6 61.7 62.1 62.8 62.9 63.5 64.0 64.7. 65.7 64.5 1999 $27000 $43000 What are the median earnings for women for the years ? A. $27,000 B. $27,600 C. $27,900 D. $28,320 E. $28,600 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 3-21 Chapter 03 - Describing Data: Numerical Measures 37. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-seeConnectfordatafile.) Year Women 1999 $27000 Men Earnings Ratio(%) $43000 62..........5 What are the mean earnings for women for the years ? A. $27,000 B. $27,600 C. $27,900 D. $28,320 E. $28,600 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean 3-22 Chapter 03 - Describing Data: Numerical Measures 38. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-seeConnectfordatafile.) Year Women Men 1999 $27000 $43000 What were the modal earnings for women for the years ? A. $27,000 B. $27,600 and $27,900 C. $28,320 D. $28,600 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-09 The Mode Earnings Ratio(%) 62.6 61.7 62.1 62.8 62.9 63.5 64.0 64.7 65.7 64.5 3-23 Chapter 03 - Describing Data: Numerical Measures 39. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-seeConnectfordatafile.) Year Women Men 1999 $27000 $43000 What were the median earnings for men for the years ? A. $43,000 B. $44,400 C. $44,500 D. $44,600 E. $44,700 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median Earnings Ratio(%) 62.6 61.7 62.1 62.8 62.9 63.5 64.0 64.7 65.7 64.5 3-24 Chapter 03 - Describing Data: Numerical Measures 40. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-seeConnectfordatafile.) Year Women 1999 $27000 Men Earnings Ratio(%) $43000 62..........5 What were the mean earnings for men for the years ? A. $43,000 B. $44,400 C. $44,500 D. $44,600 E. $44,700 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean 3-25 Chapter 03 - Describing Data: Numerical Measures 41. Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-seeConnectfordatafile.) Year Women 1999 $27000 Men Earnings Ratio(%) $43000 62..........5 What were the modal earnings for men for the years ? A. $43,000 B. $44,400 C. $44,500 D. $44,600 E. $44,700 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-09 The Mode 3-26 Chapter 03 - Describing Data: Numerical Measures 42. i. For salaries of $102,000, $98,000, $25,000, $106,000 and $101,000, the arithmetic mean would be an appropriate average. ii. Extremely high or low scores affect the value of the median. iii. Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. The weighted mean hourly wage is $10. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-06 The Weighted Mean Topic: 03-08 The Median 43. i. For salaries of $102,000, $98,000, $35,000, $106,000 and $101,000, the arithmetic mean would be an appropriate average. ii. Extremely high or low scores do not affect the value of the median. iii. Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. The weighted mean hourly wage is $9. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-06 The Weighted Mean Topic: 03-08 The Median 3-27 Chapter 03 - Describing Data: Numerical Measures 44. i. For salaries of $102,000, $98,000, $25,000, $106,000 and $101,000, the median would be an appropriate average. ii. There are always as many values above the mean as below it. iii. Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. The weighted mean hourly wage is $9. A. (i), (ii) and (iii) are all correct statements. B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-06 The Weighted Mean Topic: 03-08 The Median 3-28 Chapter 03 - Describing Data: Numerical Measures 45. Referring to the printout below, describe the shape of the distribution of the corresponding histogram. Class Grades count 35 mean 71.8 minimum 14.3 maximum 99.2 range 84 coefficient of variation (CV) 30.67% 1st quartile 58.25 median 77.25 3rd quartile 89.91 interquartile range 31.67 mode 82.0 A. Positively skewed B. Negatively skewed C. Perfectly symmetrical D. Statistical Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-06 Compute and interpret the coefficient of skewness and the coefficient of variation. Topic: 03-34 Skewness 3-29 Chapter 03 - Describing Data: Numerical Measures 46. i. If there is an even number of ungrouped values, then half of the values will be less than the median. ii. Extremely high or low scores affect the value of the median. iii. There are always as many values above the mean as below it. A. (i), (ii) and (iii) are all correct statements. B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median 47. i. If there is an even number of ungrouped values, then half of the values will be less than the median. ii. Extremely high or low scores do not affect the value of the median. iii. There are always as many values above the mean as below it. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median 3-30 Chapter 03 - Describing Data: Numerical Measures 48. Sometimes, data has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be summarized as A. symmetric B. bimodal (having two modes) C. positively skewed D. negatively skewed E. continuous Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-09 The Mode Topic: 03-12 The Relative Positions of the Mean, Median, and Mode 49. Which measures of central tendency always have but one value for a set of grouped or ungrouped data? A. Mode and median B. Mode and mean C. Mode and geometric mean D. Mean and median E. Mean, median and geometric mean Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-02 Identify and compute a weighted mean. Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median Topic: 03-14 The Geometric Mean 3-31 Chapter 03 - Describing Data: Numerical Measures 50. Which measures of central tendency are not affected by extremely low or extremely high values? A. Mean and median B. Mean and mode C. Mode and median D. Geometric mean and mean E. Mean only Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median Topic: 03-09 The Mode Topic: 03-14 The Geometric Mean 51. What must be the least scale of measurement for the median? A. Nominal B. Ordinal C. Interval D. Ratio Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median 52. What are half of the observations always greater than? A. Median B. Mode C. Mean D. Geometric mean E. Weighted mean Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-08 The Median 3-32 Chapter 03 - Describing Data: Numerical Measures 53. If a frequency distribution has open-ended intervals at the extremes, which measure of central tendency is the most difficult to estimate? A. Median B. Mode C. Mean D. Mean, Median and Mode Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 54. In the calculation of the arithmetic mean for grouped data, which value is used to represent all the values in a particular class? A. The upper limit of the class B. The lower limit of the class C. The frequency of the class D. The cumulative frequency preceding the class E. The midpoint of the class Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 55. A disadvantage of using an arithmetic mean to summarize a set of data is A. The arithmetic mean sometimes has two values. B. It can be used for interval and ratio data C. It is always different from the median. D. It can be biased by one or two extremely small or large values. E. It doesn't always exist. Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 3-33 Chapter 03 - Describing Data: Numerical Measures 56. The mean, as a measure of central tendency, would be inappropriate for which one of the following? A. Ages of adults at a senior citizen center B. Incomes of lawyers C. Number of pages in textbooks on statistics D. Marital status of college students at a particular university E. Number of family pets Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 57. If a major sports star were to move into your neighbourhood, what would you expect to happen to the neighbourhood's "average" income? A. The mean income would increase significantly B. The median income would increase significantly C. The modal income would increase significantly D. The mean income would increase significantly, but the modal income and median income would decrease E. The standard deviation of the neighbourhood's income would get smaller Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 58. The mean, as a measure of central location would be inappropriate for which one of the following? A. Ages of adults at a senior citizen center B. Incomes of lawyers C. Number of pages in textbooks on statistics D. Marital status of college students at a particular university Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 3-34 Chapter 03 - Describing Data: Numerical Measures 59. A disadvantage of using an arithmetic mean to summarize a set of data is A. It can be used for ratio data. B. It is always different from the median. C. It can be biased by one or two extremely small or large values. D. The arithmetic mean sometimes has two values. Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 60. What is a disadvantage of the range as a measure of dispersion? A. Based on only two observations B. Can be distorted by a large mean C. Not in the same units as the original data D. Has no disadvantage Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-17 Measures of Dispersion Topic: 03-18 Range 61. If a major sports star were to move into your neighbourhood, what would you expect to happen to the neighbourhood's "average" income? A. The mean income would decrease significantly B. The median income would increase significantly C. The modal income would increase significantly D. The mean income would increase significantly, but the median income would stay almost the same as before E. The standard deviation of the neighbourhood's income would get smaller Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Learning Objective: 03-03 Compute and interpret the geometric mean. Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-21 Variance and Standard Deviation 3-35 Chapter 03 - Describing Data: Numerical Measures 62. The following printout is a summary of housing prices in Edmonton: Descriptive statistics count mean sample variance sample standard deviation minimum maximum range 1st quartile median 3rd quartile interquartile range mode List Price 96 447,403.14 20,560,909,990.86 143,390.76 269,900 1,100,000 830,100 357,250.00 402,400.00 479,150.00 121,900.00 399,900.00 What can we determine from this printout? A. The mean list price is less than both the median and modal prices B. The median list price is the most representative as it is larger than the modal price and smaller than the mean price. C. The modal price is affected by a few houses that must be priced very high D. More than half of the houses are listed above $425,000. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean Topic: 03-08 The Median Topic: 03-09 The Mode 3-36 Chapter 03 - Describing Data: Numerical Measures 63. The following printout is a summary of number of bedrooms in homes for sale in Regina: Descriptive statistics No of Bedrooms Count 99 mean 3.73 sample variance 1.12 sample standard deviation 1.06 minimum 0 maximum 7 range 7 skewness 0.04 kurtosis 2.11 coefficient of variation(CV) 28.38% 1st quartile median 3rd quartile interquartile range mode 3.00 4.00 4.00 1.00 4.00 What can we determine from this printout? A. The mean number of bedrooms is less than both the median and modal number. B. The median number of bedrooms is the most representative as it is larger than the modal number and smaller than the mean number of bedrooms. C. The modal number of bedrooms is affected by a few houses that must have a large number of bedrooms. D. 75% of the houses have more than 3 bedrooms. Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-01 Introduction Topic: 03-03 The Sample Mean Topic: 03-08 The Median Topic: 03-09 The Mode 3-37 Chapter 03 - Describing Data: Numerical Measures 64. i. The sum of the deviations from the mean for the set of numbers 4, 9 and 5 will equal zero. ii. If there is an even number of ungrouped values, the median is found by arranging them from low to high and then determining the arithmetic mean of the two middle values. iii. For salaries of $102,000, $98,000, $35,000, $106,000 and $101,000, the arithmetic mean would be an appropriate average. A. (i), (ii) and (iii) are all correct statements. B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-03 The Sample Mean Topic: 03-04 The Properties of the Arithmetic Mean Topic: 03-08 The Median 65. i. In a negatively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a positively skewed distribution, the mode is greater than the median. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-06 Compute and interpret the coefficient of skewness and the coefficient of variation. Topic: 03-34 Skewness 3-38 Chapter 03 - Describing Data: Numerical Measures 66. i. In a positively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a negatively skewed distribution, the mode is greater than the median. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-06 Compute and interpret the coefficient of skewness and the coefficient of variation. Topic: 03-34 Skewness 67. i. The mode is the value of the observation that appears most frequently. ii. A distribution that has the same shape on either side of the center is said to be symmetrical. iii. Negatively skewed indicates that a distribution is not symmetrical. The long tail is to the left or in the negative direction. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and, (iii) are correct statements but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-06 Compute and interpret the coefficient of skewness and the coefficient of variation. Topic: 03-34 Skewness 3-39 Chapter 03 - Describing Data: Numerical Measures 68. i. In a positively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the mode occurs at the peak of the curve. iii. In a negatively skewed distribution, the mode is greater than the median. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-06 Compute and interpret the coefficient of skewness and the coefficient of variation. Topic: 03-34 Skewness 69. What is the relationship among the mean, median and mode in a symmetric distribution? A. All values are equal B. Mean is always the smallest value C. Mean is always the largest value D. Mode is the largest value E. Median is always the largest value Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-12 The Relative Positions of the Mean, Median, and Mode 70. Rank the measures of dispersion in terms of their relative computational difficulty from least to most difficulty. A. Mode, median, mean B. Range, mean deviation, variance C. Variance, mean deviation, range D. There is no difference Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-17 Measures of Dispersion Topic: 03-18 Range Topic: 03-19 Mean Deviation Topic: 03-21 Variance and Standard Deviation 3-40 Chapter 03 - Describing Data: Numerical Measures 71. The ages of a sample of telephones used in a small town hotel were organized into the following table: Ages (in years) Number 2 to under 5 2 5 to under 8 5 8 to under 11 10 11 to under 14 4 14 to under 17 2 What is the sample variance? A. About 10.2 B. About 6.1 C. About 14.0 D. About 3.2 E. About 5.0 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-44 Standard Deviation of Grouped Data 3-41 Chapter 03 - Describing Data: Numerical Measures 72. A purchasing agent for a trucking company is shopping for replacement tires for their trucks from two suppliers. The suppliers' prices are the same. However, Supplier A's tires have an average life of 100,000 km with a standard deviation of 10,000 km. Supplier B's tires have an average life of 100,000 km with a standard deviation of 2,000 km. Which of the following statements is true? A. The two distributions of tire life are the same B. On average, Supplier A's tires have a longer life then Supplier B's tires C. The life of Supplier B's tire is more predictable than the life of Supplier A's tires D. The dispersion of Supplier A's tire life is less than the dispersion of Supplier B's tire life E. The life of Supplier A's tire is more predictable than the life of Supplier B's tires Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-28 Interpretation and Uses of the Standard Deviation 73. The sum of the differences between sample observations and the sample mean is A. Zero B. The mean deviation C. The range D. The standard deviation E. The mean Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-01 Compute and interpret the mean; the median and the mode. Topic: 03-04 The Properties of the Arithmetic Mean 74. Which of the following measures of dispersion are based on deviations from the mean? A. Variance B. Standard deviation C. Mean deviation D. Mean deviation, standard deviation, and variance Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Learning Objective: 03-07 Identify and compute measures of position. Topic: 03-17 Measures of Dispersion Topic: 03-19 Mean Deviation Topic: 03-21 Variance and Standard Deviation 3-42 Chapter 03 - Describing Data: Numerical Measures 75. What is the relationship between the variance and the standard deviation? A. Variance is the square root of the standard deviation B. Variance is the square of the standard deviation C. Variance is twice the standard deviation D. No constant relationship between the variance and the standard deviation Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-17 Measures of Dispersion Topic: 03-21 Variance and Standard Deviation 76. What is the range for this sample of March electric bills amounts for all-electric homes of similar sizes (to the nearest dollar): $212, $191, $176, $129, $106, $92, $108, $109, $103, $121, $175 and $194. A. $100 B. $130 C. $120 D. $112 E. $115 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-18 Range 3-43 Chapter 03 - Describing Data: Numerical Measures 77. A survey of passengers on domestic flights revealed these distances: Kilometres Flown 100 to under 500 500 to under 900 900 to under to under to under to under 2500 What is the range (in kms)? A. 2499 B. 1100 C. 2400 D. 1999 E. 2500 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-18 Range Number of Passengers 9 6 78. Which measure of dispersion disregards the algebraic signs (plus and minus) of each difference between X and the mean? A. Standard deviation B. Mean deviation C. Arithmetic mean D. Variance Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-17 Measures of Dispersion Topic: 03-19 Mean Deviation 3-44 Chapter 03 - Describing Data: Numerical Measures 79. A population consists of all the weights of all defensive tackles on Sociable University's football team. They are: Johnson, 204 pounds; Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation (in pounds)? A. About 4 B. About 16 C. About 100 D. About 40 E. Zero Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-23 Population Standard Deviation 80. The weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. What is the sample variance? A. 6.92 B. 4.80 C. 1.96 D. 2.33 E. Zero Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-25 Sample Variance 3-45 Chapter 03 - Describing Data: Numerical Measures 81. Each person who applies for an assembly job at Robert's Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. Length of Time (in minutes) Number 1 to under 4 4 4 to under 7 8 7 to under 10 14 10 to under 13 9 13 to under 16 5 16 to under 19 2 What is the standard deviation (in minutes)? A. 3.89 B. 6.01 C. 8.78 D. 17.00 E. Zero Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-46 Chapter 03 - Describing Data: Numerical Measures 82. The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147 and $136. What is the range? A. $0 B. $14 C. $52 D. $17 E. $147 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-18 Range 83. Measures of dispersion calculated from grouped data are A. Estimates B. Biased C. Means D. Skewed Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-17 Measures of Dispersion 84. The closing prices of a common stock have been 61.5, 62, 61.25, 60.875 and 61.5 for the past week. What is the range? A. $1.250 B. $1.750 C. $1.125 D. $1.875 Accessibility: Keyboard Navigation Difficulty: Easy Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-18 Range 3-47 Chapter 03 - Describing Data: Numerical Measures 85. Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40. What is the mean deviation? A. 8.00 B. 4.12 C. 12.67 D. 0.75 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-19 Mean Deviation 86. The weights (in kilograms) of a group of crates being shipped to Panama are 95, 103, 110, 104, 105, 112 and 92. What is the mean deviation? A. 5.43 kg B. 6.25 kg C. 0.53 kg D. 52.50 kg Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-19 Mean Deviation 87. The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41 and 22. What is the population variance? A. 106.8 B. 91.4 C. 240.3 D. 42.4 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-18 Range 3-48 Chapter 03 - Describing Data: Numerical Measures 88. A sample of the daily number of passengers per bus riding the Bee Line commuter route yielded the following information: Number of Passengers Frequency 0 to under 5 4 5 to under 10 9 10 to under 15 5 15 to under 20 10 20 to under 25 2 What is the standard deviation? A. About 6.06 B. About 20.0 C. About 12.9 D. About 2.3 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-49 Chapter 03 - Describing Data: Numerical Measures 89. i. The standard deviation is the positive square root of the variance. ii. For a symmetrical distribution, the variance is equal to the standard deviation. iii. If the standard deviation of the ages of a female group of employees is six years and the standard deviation of the ages of a male group in the same plant is ten years, it indicates that there is more spread in the ages of the female employees. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-21 Variance and Standard Deviation Topic: 03-28 Interpretation and Uses of the Standard Deviation 90. i. If a frequency distribution is open-ended, the variance cannot be determined. ii. The range cannot be computed for data grouped in a frequency distribution having an open end. iii. The standard deviation is the positive square root of the variance A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements, but not (i). E. (i), (ii) and (iii) are all false statements Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Learning Objective: 03-09 Compute the mean; median and standard deviation of grouped data. Topic: 03-18 Range Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped Data 3-50 Chapter 03 - Describing Data: Numerical Measures 91. What disadvantage(s) are there of the mean deviation? A. Based on only two observations B. Based on deviations from the mean C. Uses absolute values, which are difficult to manipulate Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-04 Compute and interpret the range; mean deviation; variance and standard deviation. Topic: 03-19 Mean Deviation 92. A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical Rule, about 95 percent of the monthly food expenditures are between what two amounts? A. $100 and $200 B. $85 and $105 C. $205 and $220 D. $110 and $190 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 3-51 Chapter 03 - Describing Data: Numerical Measures 93. A sample of assistant professors on the business faculty at the largest college in Ontario revealed the mean annual income to be $62,000 with a standard deviation of $3,000. Using the Empirical Rule, what proportion of faculty earn more than $56,000 but less than $68,000? A. At least 50% B. Approximately 68% C. At least 75% D. Approximately 95% E. Almost all Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 94. Samples of the wires coming off the production line were tested for tensile strength. The statistical results (in PSI) were: Arithmetic mean Mode Mean deviation Range 500 Median 500 500 Standard deviation 40 32 Quartile deviation 25 240 Number in sample 100 According to the Empirical Rule, the middle 95 percent of the wires tested between approximately what two values? A. 450 and 550 B. 460 and 540 C. 420 and 580 D. 380 and 620 Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 3-52 Chapter 03 - Describing Data: Numerical Measures 95. The distribution of a sample of the outside diameters of PVC gas pipes approximates a symmetrical, bell-shaped distribution. The arithmetic mean is 14.0 cm, and the standard deviation is 0.1 cm. About 68 percent of the outside diameters lie between what two amounts? A. 13.5 and 14.5 cm B. 13.0 and 15.0 cm C. 13.9 and 14.1 cm D. 13.8 and 14.2 cm Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 96. Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 68% of the home sizes are between what two approximate values? Size (sq ft) count 99 mean 1,713.38 sample variance 674,283.32 sample standard deviation 821.15 minimum 0 maximum 4737 range 4737 A. 1,000 to 2,000 sq. ft. B. 892 to 2,534 sq ft. C. 71 to 3,355 sq ft. D. 0 to 4,176 sq ft. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 3-53 Chapter 03 - Describing Data: Numerical Measures 97. Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 95% of the home sizes are between what two approximate values? Size (sq ft) count 99 mean 1,713.38 sample variance 674,283.32 sample standard deviation 821.15 minimum 0 maximum 4737 range 4737 A. 1,000 to 2,000 sq. ft. B. 892 to 2,534 sq ft. C. 71 to 3,355 sq ft. D. 0 to 4,176 sq ft. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 3-54 Chapter 03 - Describing Data: Numerical Measures 98. The Empirical Rule states that: (i) about 68% of the observation will lie within one standard deviation of the mean. ii. about 95% of the observations will lie within two standard deviations of the mean. iii. and virtually all (99.7%) will lie within three standard deviations of the mean. A. (i), (ii) and (iii) are all correct statements. B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements, but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-30 The Empirical Rule 99. Chebyshev's theorem states that: i. About 68% of the observation will lie within one standard deviation of the mean. ii. About 95% of the observations will lie within two standard deviations of the mean. iii. Virtually all (99.7%) will lie within three standard deviations of the mean. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements, but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-05 Explain and apply Chebyshev's theorem and the Empirical Rule. Topic: 03-29 Chebyshev's Theorem 3-55 Chapter 03 - Describing Data: Numerical Measures 100. i. An outlier is a value in a data set that is inconsistent with the rest of the data. ii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. iii. A percentile divides a distribution into one hundred equal parts. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-07 Identify and compute measures of position. Topic: 03-36 Measures of position Topic: 03-37 Quartiles, Deciles, and Percentiles 101. i. An outlier is a value in a data set that is inconsistent with the rest of the data. ii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. iii. A student scored in the 85 percentile on a standardized test. This means that the student scored lower than 85% of the rest of the students taking the test. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-07 Identify and compute measures of position. Topic: 03-36 Measures of position Topic: 03-37 Quartiles, Deciles, and Percentiles 3-56 Chapter 03 - Describing Data: Numerical Measures 102. i. A percentile divides a distribution into one hundred equal parts. ii. A student scored in the 85 percentile on a standardized test. This means that the student scored lower than 85% of the rest of the students taking the test. iii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (i) is a correct statement, but not (ii) or (iii). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-07 Identify and compute measures of position. Learning Objective: 03-08 Construct and analyze a box plot. Topic: 03-36 Measures of position Topic: 03-37 Quartiles, Deciles, and Percentiles Topic: 03-39 Box Plots 103. i. A percentile divides a distribution into one hundred equal parts. ii. A student scored in the 85 percentile on a standardized test. This means that the student scored higher than 85% of the rest of the students taking the test. iii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements, but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-07 Identify and compute measures of position. Learning Objective: 03-08 Construct and analyze a box plot. Topic: 03-36 Measures of position Topic: 03-37 Quartiles, Deciles, and Percentiles Topic: 03-39 Box Plots 3-57 Chapter 03 - Describing Data: Numerical Measures 104. What do the quartile deviation and the interquartile range describe? A. Lower 50% of the observations B. Middle 50% of the observations C. Upper 50% of the observations D. Lower 25% and the upper 25% of the observations Accessibility: Keyboard Navigation Difficulty: Medium Learning Objective: 03-08 Construct and analyze a box plot. Topic: 03-39 Box Plots 105. i. An outlier is a data point that always occurs in the first quartile. ii. A student scored in the 85 percentile on a standardized test. This means that the student scored higher than 85% of the rest of the students taking the test. iii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. A. (i), (ii) and (iii) are all correct statements B. (i) and, (ii) are correct statements but not (iii). C. (i) and, (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements, but not (i). E. (i), (ii) and (iii) are all false statements. Accessibility: Keyboard Navigation Difficulty: Hard Learning Objective: 03-07 Identify and compute measures of position. Learning Objective: 03-08 Construct and analyze a box plot. Topic: 03-36 Measures of position Topic: 03-37 Quartiles, Deciles, and Percentiles Topic: 03-39 Box Plots 3-58 Chapter 03 - Describing Data: Numerical Measures 106. i. The interquartile range is the average of the values of the first and third quartile. ii. An outlier is a data point that always occurs in the first quartile. iii. A student scored in the 85 percentile on a