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<< Test Bank for American Corrections 10th Edition by Todd R. Clear Michael D. Reisig George F. Cole | Solution Manual for Introductory Chemistry 5th Edition by Nivaldo J. Tro >> |

4

1. The mean is not greatly affected by outliers.

True False

2. The median is not greatly affected by outliers.

True False

3. There is always mode(s) in any data set.

True False

4. The second quartile is the same as the median.

True False

5. A trimmed mean may be preferable to a mean when a data set has extreme values.

True False

6. One benefit of the box plot is that it clearly displays the standard deviation.

True False

7. One benefit of the box plot is that it clearly displays the quartile values.

True False

8. It is inappropriate to apply the Empirical Rule to a population that is right-skewed.

True False

9. Given the data set 10, 5, 2, 6, 3, 4, 20, the median value is 5.

True False

10. Given the data set 2, 5, 10, 6, 3, the median value is 3.

True False

11. When data are right-skewed, we expect the median to be greater than the mean.

True False

12. The sum of the deviations around the mean is always zero.

True False

13. Chebyshevs theorem says that at most 50% of the data lies within 2 standard deviations of the mean.

True False

14. Chebyshevs theorem says that at least 95% of the data lies within 2 standard deviations of the mean.

True False

15. If there are 19 data values, the median will have 10 values above it and 9 below it since n is odd.

True False

16. If there are 20 data values, the median will be halfway between two data values.

True False

17. In a left-skewed distribution, we expect that the median will be greater than the mean.

True False

18. Standardized data always have a mean of 0 and a standard deviation of 1 regardless of and .

True False

19. If the standard deviations of two samples are the same, so are their coefficients of variation.

True False

20. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. This data set would probably be skewed to the left due to low outliers.

True False

21. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the trimmed mean probably exceeds the mean.

True False

22. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the mean is probably not a very good measure of a typical persons office visits.

True False

23. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the geometric mean should be a reasonable measure of central tendency.

True False

24. Referring to this box plot of ice cream fat content, the mean would exceed the median.

True False

25. Referring to this box plot of ice cream fat content, the skewness would be negative.

True False

26. Referring to this graph of ice cream fat content, the second quartile is about 61.

True False

27. Skewness merely measures a distributions dispersion.

True False

28. The range as a measure of dispersion is sensitive to extreme data values.

True False

29. In calculating the sample variance the sum of the squared deviations is divided by n1 to avoid underestimating the unknown population variance.

True False

30. The coefficient of variation is useful to compare two data sets with dissimilar units of measurement.

True False

31. Outliers are any data values which fall beyond 2 standard deviations from the mean.

True False

32. The Empirical Rule assumes that the distribution of data follows a normal curve.

True False

33. Chebyshevs Theorem is more conservative than the Empirical Rule in its estimates of the areas found under a distribution.

True False

34. The Empirical Rule can be applied to more distributions than Chebyshevs theorem.

True False

35. When applying the Empirical Rule to a distribution of grades, if a student scored one standard deviation below the mean, then she would be at the 25th percentile of the distribution.

True False

36. A sample consists of the following data: 7, 11, 12, 18, 20, 22, 43. Using the three standard deviation criterion, the last observation (X = 43) would be considered an outlier. (Hint: = 19, s = 11.86)

True False

37. Descriptive statistics does not seek to perform which task?

A. Characterizing the typical or middle values of a data set.

B. Inferring the values of population parameters.

C. Summarizing the degree of dispersion in the data set.

D. Clarifying the shape of the data set.

38. Which is not an advantage of the method of medians to find Q1 and Q3?

A. Ease of interpolating quartile positions.

B. Ease of application in small data sets.

C. Intuitive definitions without complex formulas.

D. Same method as Excels =QUARTILE function.

39. Which is a characteristic of the mean as a measure of central tendency?

A. Deviations do not sum to zero when there are extreme values.

B. It is less reliable than the mode when data are continuous.

C. It utilizes all the information in a sample.

D. It is usually equal to the median in business data.

40. The position of the median is

A. n/2 in any sample.

B. n/2 if n is even.

C. n/2 if n is odd.

D. (n+1)/2 in any sample.

41. Which is not a characteristic of the trimmed mean as a measure of central tendency?

A. It is similar to the mean if there are both high and low extremes.

B. It is not very helpful in a small sample.

C. It requires sorting the sample.

D. It is similar to the mean if there are only high extremes.

42. Which is not a characteristic of the geometric mean as a measure of central tendency?

A. It is similar to the mean if the data are skewed right.

B. It mitigates the effects of large data values.

C. It is useful in business data to calculate average growth rates.

D. It cannot be calculated when the data contain negative or zero values.

43. Which is not a characteristic of the standard deviation?

A. It is always the square root of the variance.

B. It is not applicable when data are continuous.

C. It can be calculated when the data contain negative or zero values.

D. Its physical interpretation is not as easy as the MAD (Mean Absolute Deviation).

44. Chebyshevs Theorem

A. applies to all samples.

B. applies only to samples from a normal population.

C. gives a narrower range of predictions than the Empirical Rule.

D. is based on Sturges Rule for data classification.

45. Which of the following is not a valid description of an outlier?

A. A data value beyond the outer fences.

B. A data value that is very unusual.

C. A data value that lies below Q1 or above Q3.

D. A data value beyond 3 standard deviations from the mean.

46. If samples are from a normal distribution with = 100 and = 10 we do not expect

A. about 68 percent of the data within 90 to 110.

B. almost all the data within 70 to 130.

C. about 95 percent of the data within 80 to 120.

D. about half the data to exceed 110.

47. In a sample of 10,000 observations from a normal population, how many would you expect to lie beyond three standard deviations of the mean?

A. None of them.

B. About 27.

C. About 100.

D. About 127.

48. The Excel formula for the standard deviation of a sample array named Data is

A. =STDEV(Data)

B. =STANDEV(Data)

C. =STDEVP(Data)

D. =SUM(Data)/(COUNT(Data)1)

49. Which is not true of an outlier?

A. It is likely to be from a different population.

B. It is suggestive of an error in recording the data.

C. It is best discarded to get a better mean.

D. It is an anomaly that may tell the researcher something.

50. Estimating the mean from grouped data will tend to be most accurate when

A. observations are distributed uniformly within classes.

B. there are few classes with wide class limits.

C. the sample is not very large and bins are wide.

D. the standard deviation is large relative to the mean.

51. Which is not true of skewness?

A. In business data, positive skewness is unusual.

B. In a distribution that has a long left tail, the mean is likely to be less than the median.

C. Skewness often is evidenced by one or more outliers.

D. The expected range of the skewness coefficient narrows as n increases.

52. Which is not true of the Empirical Rule?

A. It applies to any distribution.

B. It can be applied to fewer distributions than Chebyshevs theorem.

C. It assumes that the distribution of data follows a bell shaped, normal curve.

D. It predicts more observations within k than Chebyshevs Theorem.

53. Which is not a correct statement concerning the mean?

A. Standardized data will always have a mean of 0 and a standard deviation of 1.

B. In a left-skewed distribution, we expect that the median will exceed the mean.

C. The sum of the deviations around the mean is always zero.

D. The value of the mean can clearly be seen on a box plot.

54. Which is a correct statement concerning the median?

A. In a left-skewed distribution, we expect that the median will exceed the mean.

B. The sum of the deviations around the median is zero.

C. The median is an observed data value in any data set.

D. The median is halfway between Q1 and Q3 on a boxplot.

55. Which statement is true?

A. With nominal data we can find the mode.

B. Outliers distort the mean but not the standard deviation.

C. Business and economic data are rarely skewed to the right.

D. If we sample a normal population, the sample skewness coefficient is exactly 0.

56. Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, and 100. For this data set, which statement is incorrect concerning central tendency?

A. The median is 60.00.

B. The mode is not helpful.

C. The 5% trimmed mean would be awkward.

D. The geometric mean is 35.05.

57. Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, 100. For this data set, which statement is incorrect concerning dispersion and shape? (Note: midrange is the average of the largest and smallest observation.)

A. The coefficient of variation is 65.7%.

B. The data are left-skewed due to low outliers.

C. The midrange and mean are almost the same.

D. The third quartile is approximately 90.

58. Exam scores in a small class were 0, 50, 50, 70, 70, 80, 90, 90, 100, 100. For this data set, which statement is incorrect concerning central tendency?

A. The median is 70.

B. The mode is not helpful.

C. The geometric mean is useless.

D. The mean is 70.

59. Exam scores in a random sample of students were 0, 50, 50, 70, 70, 80, 90, 90, 90, 100. Which statement is incorrect concerning dispersion and shape?

A. The standard deviation is 29.61.

B. The data are slightly left-skewed.

C. The median and mean are almost the same.

D. The third quartile is 90.

60. For Canadian men, the mean height is 174 cm with a standard deviation of 7 cm and the mean weight is 83 kg with a standard deviation of 8 kg. Henry is 170 cm tall and weighs 70 kg. It is correct to say that

A. Henry s weight is more unusual than his height.

B. Henry is heavier than he is tall.

C. Height and weight have the similar degree of variation.

D. Height has more variation than weight.

61. John scored 85 on Prof. Hardtacks exam (Q1 = 40 and Q3 = 60). Based on the fences, which is correct?

A. John is unusual but not an outlier.

B. John is an outlier.

C. John is neither unusual nor an outlier.

D. John is in the 85th percentile.

62. John scored 35 on Prof. Hardtacks exam (Q1 = 70 and Q3 = 80). Based on the fences, which is correct?

A. John is unusual but not an outlier.

B. John is an outlier.

C. John is neither unusual nor an outlier.

D. John is in the 30th percentile.

63. A population consists of the following data: 7, 11, 12, 18, 20, 22, 25. The population variance is

A. 42.95

B. 36.82

C. 6.55

D. 22.86

64. Consider the following data: 6, 7, 17, 51, 3, 17, 23, and 69. The range and the median are

A. 63 and 17.5

B. 66 and 17.5

C. 66 and 17

D. 63 and 17

65. When a sample has an odd number of observations, the median is the

A. observation in the center of the data array.

B. average of the two observations in the center of the data array.

C. value of the most frequent observation.

D. average of Q1 and Q3.

66. As a measure of dispersion, compared to the range, an advantage of the standard deviation is

A. being calculated easily through the use of a formula.

B. considering only the data values in the middle of the data array.

C. describing the distance between the highest and lowest values.

D. considering all data values.

67. Which two statistics offer robust measures of central tendency when outliers are present?

A. Mean and mode.

B. Median and trimmed mean.

C. Median and geometric mean.

D. Variance and standard deviation.

68. Which Excel function would be least useful to calculate the quartiles for a column of data?

A. =STANDARDIZE

B. =PERCENTILE

C. =QUARTILE

D. =RANK

69. A sample of 50 breakfast customers of MacDonalds showed the spending below. Which statement is least likely to be correct?

A. The median is smaller than the mean.

B. About half the customers spend less than $5.

C. About 75 percent of the customers spend less than $7.

D. The mean is a reasonable measure of central tendency.

70. VenalCo Market Research surveyed 50 individuals who recently purchased a certain CD, revealing the age distribution shown below. Which statement is least defensible?

A. The mean age probably exceeds the median age.

B. The mode would be a reasonable measure of central tendency.

C. The data are somewhat skewed to the left.

D. The CD is unlikely to appeal to retirees.

71. Given a sample of three items (X = 4, 6, 5) which statement is incorrect?

A. The geometric mean is 5.2.

B. The standard deviation is 1.

C. The coefficient of variation is 20 percent.

D. The quartiles are useless.

72. A sample of customers from Bayview Credit Union shows an average account balance of $3150 with a standard deviation of $870. A sample of customers from RBC (Royal Bank of Canada) shows an average account balance of $8350 with a standard deviation of $1800. Which statement about account balances is correct?

A. Bayview Credit Union has higher coefficient of variation.

B. RBC has higher coefficient of variation.

C. Both have the same coefficient of variation.

D. There is insufficient information to decide the above.

73. Histograms are best used to

A. provide a visual estimate of the standard deviation.

B. show the quartiles of the data set.

C. assess the shape of the distribution.

D. reveal the interquartile range of the data set.

74. The ______________ shows the relationship between two variables.

A. box plot

B. bar chart

C. histogram

D. scatter plot

75. If the mean and median of a population are the same, then its distribution is

A. normal.

B. skewed.

C. symmetric.

D. uniform.

76. In the following data set {7, 5, 0, 2, 7, 15, 5, 2, 7, 18, 7, 3, 0} the value 7 is

A. the mean.

B. the mode.

C. both the mode and median.

D. both the mean and mode.

77. The median of 600, 800, 1000, 1200 is

A. 800.

B. 1000.

C. 900.

D. 950.

78. The twenty-fifth percentile for waiting time in a doctors office is 19 minutes. The seventy-fifth percentile is 31 minutes. The interquartile range is

A. 12 minutes.

B. 16 minutes.

C. 25 minutes.

D. Impossible to determine without knowing n.

79. The twenty-fifth percentile for waiting time in a doctors office is 19 minutes. The seventy-fifth percentile is 31 minutes. Which is incorrect regarding the fences?

A. The upper inner fence is 49 minutes.

B. The upper outer fence is 67 minutes.

C. A waiting time of 45 minutes exceeds the upper inner fence.

D. A waiting time of 70 minutes would be an outlier.

80. When using the Chebyshevs theorem, the minimum percentage of sample observations that will fall within 2 standard deviations of the mean will be __________ the percentage within 2 standard deviations if a normal distribution is assumed (Empirical Rule).

A. smaller than

B. greater than

C. the same as

81. Frieda is 67 inches tall and weighs 135 pounds. Women her age have a mean height of 65 inches with a standard deviation of 2.5 inches and a mean weight of 125 pounds with a standard deviation of 10 pounds. In relative terms, it is incorrect to say that.

A. Frieda is relatively heavier than she is tall.

B. For this group of women, weight has greater variation than height.

C. Friedas height is more unusual than her weight.

D. The coefficient of variation is below 10 percent for both height and weight.

82. Which statement is false?

A. The coefficient of variation cannot be used when the mean is zero.

B. The standard deviation is in the same units as the mean (e.g., kilograms).

C. The mean from a frequency table may differ from the mean from raw data.

D. The skewness is zero in a sample from any normal distribution.

83. Which of the following statements is likely to be true?

A. The median income of Canadian taxpayers would be very close to the mean.

B. The interquartile range is a measure of income inequality among Canadian taxpayers.

C. For income, the variance about the mean is negative about half the time.

D. For income of Canadian taxpayers, outliers would be equally likely in either tail.

84. Which statistics offer robust (resistant to outliers) measures of central tendency?

A. Mean, Mode.

B. Median, Trimmed mean.

C. Trimmed mean, Mean.

D. Mean, Median.

85. Five randomly-chosen Canadian students were asked how many times daily they check e-mails. Their replies were 3, 4, 5, 6, and 7. The variance is

A. 2.5

B. 2.25

C. 2.0

D. 1.41

86. Three randomly-chosen Canadian students were asked how many times they went to the shopping mall last month. Their replies were 4, 5, 6. The coefficient of variation is

A. 16.3%

B. 18.6%

C. 20.0%

D. 25.0%

87. Patient survival times after a certain type of surgery have a very right-skewed distribution due to a few high outliers. Consequently, which statement is most likely to be correct?

A. Median > Midrange.

B. Mean < Median. C. Mean > Midrange.

D. Mean > Trimmed Mean.

88. So far this year, stock A has had a mean price of $6.58 per share with a standard deviation of $1.88, while stock B has had a mean price of $10.57 per share with a standard deviation of $3.02. Which stock is more volatile?

A. Stock A

B. Stock B

C. They are the same.

89. Sturges Rule would be helpful in constructing which display?

A. Boxplot.

B. Dotplot.

C. Histogram.

D. Pareto chart.

90. Which is not a measure of dispersion?

A. Mean absolute deviation (MAD).

B. Range.

C. Coefficient of variation.

D. Trimmed mean.

91. Twelve randomly-chosen students were asked how many times they had missed class during a certain semester, with this result: 3, 2, 1, 2, 1, 5, 9, 1, 2, 3, 3, 10. The median is

A. 7.0

B. 3.0

C. 3.5

D. 2.5

92. One disadvantage of the range is that

A. only extreme values are used in its calculation.

B. it is expressed in different units than the mean.

C. it does not exist for some data sets.

D. it is undefined if any X values are 0 or negative.

93. Which is a characteristic of the standard deviation?

A. It is not greatly affected by outliers.

B. It is measured in the same units as the mean.

C. It measures dispersion around the median.

D. It has a natural, concrete meaning.

94. Twelve randomly-chosen students were asked how many times they had missed class during a certain semester, with this result: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For this sample, the median is

A. 2

B. 3

C. 3.5

D. 2.5

95. Here are statistics on order sizes of Megalith Construction Supplys shipments of two kinds of construction materials last year.

Which order sizes have greater variability?

A. Girders.

B. Rivets.

C. They are the same.

D. Cannot be determined without knowing n (sample size).

96. The quartiles of a distribution are most clearly revealed in which display?

A. Boxplot.

B. Scatter plot.

C. Histogram.

D. Dotplot.

97. The sum of the deviations around the mean is

A. greater than zero if data are right-skewed.

B. smaller when the units are smaller (e.g., milligrams versus kilograms).

C. always zero.

D. dependent on the sample size.

98. What does the graph below (profit/sales ratios for 25 Fortune 500 companies) reveal?

A. That the median exceeds the mean.

B. That the data are slightly left-skewed.

C. That the interquartile range is about 8.

D. That the distribution is bell-shaped.

99. Which statement is true?

A. With categorical data you cannot find the mode.

B. Outliers distort the mean but not the standard deviation.

C. If we sample any normal population the sample skewness will be 0.

D. Some data sets may have no mode.

100. A reporter for the campus paper asked five randomly chosen students how many occupants, including the driver, ride to school in their cars. The responses were 1, 1, 1, 1, 6. The coefficient of variation is:

A. 25%

B. 250%

C. 112%

D. 100%

101. A smooth distribution with one mode is negatively skewed (skewed to the left). The median of the distribution is $65. Which of the following is a reasonable value for the distribution mean?

A. $76

B. $54

C. $81

D. $65

102. In a positively skewed distribution, the percentage of observations which fall below the median is

A. about 50 percent.

B. less than 50 percent.

C. more than 50 percent.

D. cant tell without knowing n.

103. In a positively skewed distribution, the percentage of observations which fall below the mean is

A. about 50 percent.

B. less than 50 percent.

C. more than 50 percent.

D. cant tell without knowing n.

104. Which is a weakness of the mode?

A. It does not apply to qualitative data.

B. It is inappropriate for continuous data.

C. It is hard to calculate when n is small.

D. It is usually about the same as the median.

105. The mode is least appropriate for

A. continuous data.

B. categorical data.

C. discrete data.

D. lickert scale data.

106. Craig operates a part-time snow-plowing business in Toronto using a 2007 GMC Canyon truck with SnowBear SB200 snow plows. This box plot of Craigs MPG on 195 tanks of gas does not support which statement?

A. There are several outliers.

B. This is a very right-skewed distribution.

C. Most MPG values are concentrated in a narrow range.

D. The interquartile range is less than 2 MPG.

107. Estimate the mean exam score for the 50 students in Prof. Axolotls class.

A. 59.2

B. 62.0

C. 63.5

D. 64.1

108. A survey of salary increases received during a recent year by 44 working MBA students is shown. Find the approximate mean percent raise.

A. 6.56

B. 6.74

C. 5.90

D. 6.39

109. A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to

A. 4,675

B. 800

C. 675

D. 825

110. A histogram can be defined as

A. a chart whose bar widths show the cumulative frequencies of data values.

B. a chart whose bar widths indicate class intervals and whose areas indicate frequencies.

C. a chart whose bar widths show class intervals and whose heights indicate frequencies.

D. a chart whose bar heights represent the value of each data point.

111. A population has 75 observations. One class interval has a frequency of 15 observations. The relative frequency in this category is:

A. 0.20

B. 0.10

C. 0.15

D. 0.75

112. Open-ended intervals are sometimes used in a frequency distribution because

A. the individual numerical values are retained within each interval.

B. they simplify calculations and yield a better histogram.

C. they permit the inclusion of extreme values in the table.

D. some missing data values can be placed in the end categories.

113. The width of a class in a frequency distribution is known as the

A. midpoint.

B. class limit.

C. bin frequency.

D. class interval.

114. The following frequency distribution shows the amount earned yesterday by employees of a Niagara Falls casino. Estimate the mean daily earnings.

A. $100

B. $107

C. $109

D. $118

115. The following table is the frequency distribution of daily parking fees in Toronto downtown. The mean parking fee is

A. $10

B. $12

C. $14

D. $16

116. The following table is the frequency distribution of daily parking fees in Toronto downtown. The standard deviation of parking fee is closest to

A. $2

B. $3

C. $4

D. $5

117. Find the standard deviation of this sample: 4, 7, 9, 12, 15.

A. 4.550

B. 3.798

C. 4.278

D. 2.997

118. Five homes were recently sold in Saint John, NB. Four of the homes sold for $250,000 while the fifth home sold for $1.2 million. Which measure of central tendency best represents a typical home price in Saint John?

A. The mean or median.

B. The median or mode.

C. The mean or mode.

D. The range or mean.

119. In Tokyo, construction workers earn an average of 420,000 (yen) per month with a standard deviation of 20,000, while in Hamburg, Germany, construction workers earn an average of 3,200 (euros) per month with a standard deviation of 57. Who is earning relatively more, a worker making 460,000 per month in Tokyo or one earning 3,300 per month in Hamburg?

A. The workers are the same in relative terms.

B. The Tokyo worker is relatively better off.

C. The Hamburg worker is relatively better off.

120. Which statement is false? Explain.

A. If = 52 and = 15, then X = 81 would be an outlier.

B. If the data are from a normal population, about 68% of the values will be within .

C. If = 640 and = 128 then the coefficient of variation is 20 percent.

121. If Q1 = 150 and Q3 = 250, the upper fences (inner and outer) are:

A. 450 and 600.

B. 350 and 450.

C. 400 and 550.

D. impossible to determine without more information.

122. Six graduates from Fulsome Universitys Masters of Waste Management program were hired by a Saudi Arabian firm at $110,000 each, while the other four graduates were unemployed. The University placement office bragged, Our MWM graduates enjoyed a median starting salary of $110,000. Is this a reasonable assessment of central tendency? What are the alternatives?

123. In Osaka, Japan stock brokers earn 6000 per hour on the average, with a standard deviation of 1200. In Stuttgart, Germany, stock brokers earn an average of 18 per hour with a standard deviation of 6. In which country is the variation in wages greatest?

124. Find the coefficient of variation of these numbers: 14, 17, 17, 19, 26. Would the dispersion of the numbers in part be greater than, less than or the same, as the dispersion of 24, 27, 27, 29, 36? Defend your answer.

125. Ten randomly chosen students at a certain Canadian university were asked how many beers they drank last week. Their answers were: 0, 8, 0, 0, 2, 4, 0, 0, 6, 0. A campus newspaper article appeared, with the headline Average Student is not drinking. Is this a fair assessment of central tendency? Discuss the alternatives.

126. Twelve students were asked how many credit cards they owned. The responses were: 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 11. (a) Find the mean, median, and mode. (b) Which measure of central tendency seems best in this case? (c) Find the first and third quartiles. What do they tell you?

127. Eleven students were asked how many siblings they had. The responses were: 0, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5. Find the mean, median, mode, and geometric mean. Which would you prefer in this case, and why not the others?

128. Patient waiting times in the Hospital Sick Children in Toronto have a mean of 120 minutes with a standard deviation of 40 minutes. Within what range would approximately 95% of the waiting times lie if we were sampling a normal distribution? Do you think the distribution is likely to be normal? Explain.

129. To answer to what is the gender breakdown/ratio of students studying at an MBA School in Canada? one company surveyed the percentage of female students. The results were: 40, 46, 40, 30, 45, 30, 37, 48, 25, 40, 37, 40, 50, 37, 38, 25, 40, 40, and 40%. (a) Find the mean, median, and mode. Which is the most appropriate measure of central tendency? Explain your answer. (b) Compute the range, standard deviation, and skewness. (Hint: Use Excel to compute skewness.) (c) Within what range would approximately 95% of the female ratio lie if we assume a normal distribution? (d) Is there any outlier?

130. A survey of ten randomly chosen drivers showed the following number of persons per car including the driver: 1, 5, 1, 5, 2, 1, 1, 1, 2, 1. Describe the central tendency, dispersion, and skewness for this sample.

131. A national survey showed that most commuter cars contain only the driver. Hungry for a story, a campus newspaper reporter asked five randomly chosen commuter students how many occupants, including the driver, rode to school in their cars. Their responses were: 1, 1, 1, 1, and 6. The next day a story appeared in the paper headlined, University Commuters Double National Average Ridership. Is this a reasonable assessment of central tendency? How would you characterize the dispersion of the sample?

132. A ten-point quiz was given by Professor Jankord. Of the ten students in the class, half got zero and the others got perfect scores. List the students scores. Then find the mean, median, mode, and geometric mean of their scores. Which is the most appropriate measure of central tendency? The least appropriate?

133. The owner of a chicken farm kept track of each hens eating and egg production for many months, with the results below. Which has more variation, feed consumption or egg output?

134. Below are the ages of 21 CEOs. Find the mean, median, and mode. Are there any outliers? Explain.

46, 48, 49, 49, 50, 52, 54, 55, 57, 57, 58, 59, 60, 61, 62, 62, 63, 63, 65, 67, 75

135. Bobs sample of freshman GPAs showed a mean of 2.72 with a standard deviation of 0.31. (a) What range would you predict for all the grades? For the middle 95%? Explain. (b) Why might your estimates be inaccurate?

136. A team of introductory statistics students went to a grocery store and recorded the total calories and fat calories for various kinds of soup. They produced a table of statistics and two dot plots. Write a succinct summary of the central tendency, dispersion, and shape of the data. Note: TrimMean is the 5% trimmed mean removing the smallest 5% and the largest 5% of the values, rounded to the nearest integer.

137. Here are descriptive statistics from Excel for annual grocery expense in 95 Ontario cities and home sizes in a certain neighborhood. Very briefly compare the dispersion and shape of the two data sets.

138. Below are shown a dot plot and summary statistics for a random sample of 34 shower heads. The measurements are maximum flow rates (in gallons per minute) at pressure of 80 pounds per square inch. Use the data to illustrate the difference between the two alternative definitions of outlier, and make any other comments you feel are relevant. Note: TrimMean removes the smallest 5% and the largest 5% of the values.

139. Here are advertised prices of 21 used Chevy Blazers. Describe the distribution (central tendency, dispersion, shape).

140. Here are advertised prices of 23 used Chevy Impalas. Describe the distribution (central tendency, dispersion, shape). Estimate the standard deviation.

141. Briefly describe this sample of departure delays on American Airlines flights out of Denver over a 7-day period, March 3-9 (n = 150 flights).

4 Key

1. The mean is not greatly affected by outliers.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #1

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

2. The median is not greatly affected by outliers.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #2

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

3. There is always mode(s) in any data set.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #3

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

4. The second quartile is the same as the median.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #4

Learning Objective: Calculate quartiles and other percentiles.

Topic: central tendency and dispersion

5. A trimmed mean may be preferable to a mean when a data set has extreme values.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #5

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

6. One benefit of the box plot is that it clearly displays the standard deviation.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #6

Learning Objective: Make and interpret box plots.

Topic: quartiles, percentiles, fences

7. One benefit of the box plot is that it clearly displays the quartile values.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #7

Learning Objective: Make and interpret box plots.

Topic: quartiles, percentiles, fences

8. It is inappropriate to apply the Empirical Rule to a population that is right-skewed.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #8

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

9. Given the data set 10, 5, 2, 6, 3, 4, 20, the median value is 5.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #9

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: calculating sample statistics

10. Given the data set 2, 5, 10, 6, 3, the median value is 3.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #10

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: calculating sample statistics

11. When data are right-skewed, we expect the median to be greater than the mean.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #11

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

12. The sum of the deviations around the mean is always zero.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #12

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

13. Chebyshevs theorem says that at most 50% of the data lies within 2 standard deviations of the mean.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #13

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

14. Chebyshevs theorem says that at least 95% of the data lies within 2 standard deviations of the mean.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #14

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

15. If there are 19 data values, the median will have 10 values above it and 9 below it since n is odd.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #15

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: calculating sample statistics

16. If there are 20 data values, the median will be halfway between two data values.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #16

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

17. In a left-skewed distribution, we expect that the median will be greater than the mean.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #17

Learning Objective: Identify the properties of common measures of central tendency.

Topic: shape, skewness

18. Standardized data always have a mean of 0 and a standard deviation of 1 regardless of and .

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Easy

Doane Chapter 004 #18

Learning Objective: Transform a data set into standardized values.

Topic: standardized data, Empirical Rule, Chebychev

19. If the standard deviations of two samples are the same, so are their coefficients of variation.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Easy

Doane Chapter 004 #19

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: central tendency and dispersion

20. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. This data set would probably be skewed to the left due to low outliers.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #20

Learning Objective: Explain the concepts of skewness

Topic: shape, skewness

21. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the trimmed mean probably exceeds the mean.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #21

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

22. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the mean is probably not a very good measure of a typical persons office visits.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #22

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

23. A certain Health Maintenance Organization (HMO) examined the number of office visits by its members in the last year. For this data set, the geometric mean should be a reasonable measure of central tendency.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #23

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

24. Referring to this box plot of ice cream fat content, the mean would exceed the median.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #24

Learning Objective: Make and interpret box plots.

Topic: quartiles, percentiles, fences

25. Referring to this box plot of ice cream fat content, the skewness would be negative.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #25

Learning Objective: Make and interpret box plots.

Topic: quartiles, percentiles, fences

26. Referring to this graph of ice cream fat content, the second quartile is about 61.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #26

Learning Objective: Make and interpret box plots.

Topic: quartiles, percentiles, fences

27. Skewness merely measures a distributions dispersion.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #27

Learning Objective: Explain the concepts of skewness

Topic: shape, skewness

28. The range as a measure of dispersion is sensitive to extreme data values.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #28

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

29. In calculating the sample variance the sum of the squared deviations is divided by n1 to avoid underestimating the unknown population variance.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Hard

Doane Chapter 004 #29

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: central tendency and dispersion

30. The coefficient of variation is useful to compare two data sets with dissimilar units of measurement.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #30

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: central tendency and dispersion

31. Outliers are any data values which fall beyond 2 standard deviations from the mean.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #31

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

32. The Empirical Rule assumes that the distribution of data follows a normal curve.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #32

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

33. Chebyshevs Theorem is more conservative than the Empirical Rule in its estimates of the areas found under a distribution.

TRUE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #33

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

34. The Empirical Rule can be applied to more distributions than Chebyshevs theorem.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #34

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

35. When applying the Empirical Rule to a distribution of grades, if a student scored one standard deviation below the mean, then she would be at the 25th percentile of the distribution.

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #35

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

36. A sample consists of the following data: 7, 11, 12, 18, 20, 22, 43. Using the three standard deviation criterion, the last observation (X = 43) would be considered an outlier. (Hint: = 19, s = 11.86)

FALSE

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #36

Learning Objective: Transform a data set into standardized values.

Topic: calculating sample statistics

37. Descriptive statistics does not seek to perform which task?

A. Characterizing the typical or middle values of a data set.

B. Inferring the values of population parameters.

C. Summarizing the degree of dispersion in the data set.

D. Clarifying the shape of the data set.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #37

Learning Objective: Explain the concepts of central tendency, dispersion, and shape.

Topic: central tendency and dispersion

38. Which is not an advantage of the method of medians to find Q1 and Q3?

A. Ease of interpolating quartile positions.

B. Ease of application in small data sets.

C. Intuitive definitions without complex formulas.

D. Same method as Excels =QUARTILE function.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #38

Learning Objective: Calculate quartiles and other percentiles.

Topic: quartiles, percentiles, fences

39. Which is a characteristic of the mean as a measure of central tendency?

A. Deviations do not sum to zero when there are extreme values.

B. It is less reliable than the mode when data are continuous.

C. It utilizes all the information in a sample.

D. It is usually equal to the median in business data.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #39

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

40. The position of the median is

A. n/2 in any sample.

B. n/2 if n is even.

C. n/2 if n is odd.

D. (n+1)/2 in any sample.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #40

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: central tendency and dispersion

41. Which is not a characteristic of the trimmed mean as a measure of central tendency?

A. It is similar to the mean if there are both high and low extremes.

B. It is not very helpful in a small sample.

C. It requires sorting the sample.

D. It is similar to the mean if there are only high extremes.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #41

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

42. Which is not a characteristic of the geometric mean as a measure of central tendency?

A. It is similar to the mean if the data are skewed right.

B. It mitigates the effects of large data values.

C. It is useful in business data to calculate average growth rates.

D. It cannot be calculated when the data contain negative or zero values.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #42

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: central tendency and dispersion

43. Which is not a characteristic of the standard deviation?

A. It is always the square root of the variance.

B. It is not applicable when data are continuous.

C. It can be calculated when the data contain negative or zero values.

D. Its physical interpretation is not as easy as the MAD (Mean Absolute Deviation).

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #43

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: central tendency and dispersion

44. Chebyshevs Theorem

A. applies to all samples.

B. applies only to samples from a normal population.

C. gives a narrower range of predictions than the Empirical Rule.

D. is based on Sturges Rule for data classification.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #44

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

45. Which of the following is not a valid description of an outlier?

A. A data value beyond the outer fences.

B. A data value that is very unusual.

C. A data value that lies below Q1 or above Q3.

D. A data value beyond 3 standard deviations from the mean.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #45

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: shape, skewness

46. If samples are from a normal distribution with = 100 and = 10 we do not expect

A. about 68 percent of the data within 90 to 110.

B. almost all the data within 70 to 130.

C. about 95 percent of the data within 80 to 120.

D. about half the data to exceed 110.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #46

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

47. In a sample of 10,000 observations from a normal population, how many would you expect to lie beyond three standard deviations of the mean?

A. None of them.

B. About 27.

C. About 100.

D. About 127.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #47

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

48. The Excel formula for the standard deviation of a sample array named Data is

A. =STDEV(Data)

B. =STANDEV(Data)

C. =STDEVP(Data)

D. =SUM(Data)/(COUNT(Data)1)

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #48

Learning Objective: Use Excel to obtain descriptive statistics and visual displays.

Topic: central tendency and dispersion

49. Which is not true of an outlier?

A. It is likely to be from a different population.

B. It is suggestive of an error in recording the data.

C. It is best discarded to get a better mean.

D. It is an anomaly that may tell the researcher something.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Easy

Doane Chapter 004 #49

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

50. Estimating the mean from grouped data will tend to be most accurate when

A. observations are distributed uniformly within classes.

B. there are few classes with wide class limits.

C. the sample is not very large and bins are wide.

D. the standard deviation is large relative to the mean.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Hard

Doane Chapter 004 #50

Learning Objective: Calculate the mean and standard deviation from grouped data.

Topic: GD

Topic: grouped data

51. Which is not true of skewness?

A. In business data, positive skewness is unusual.

B. In a distribution that has a long left tail, the mean is likely to be less than the median.

C. Skewness often is evidenced by one or more outliers.

D. The expected range of the skewness coefficient narrows as n increases.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Hard

Doane Chapter 004 #51

Learning Objective: Explain the concepts of skewness

Topic: shape, skewness

52. Which is not true of the Empirical Rule?

A. It applies to any distribution.

B. It can be applied to fewer distributions than Chebyshevs theorem.

C. It assumes that the distribution of data follows a bell shaped, normal curve.

D. It predicts more observations within k than Chebyshevs Theorem.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #52

Learning Objective: Apply the Empirical Rule and recognize outliers.

Topic: standardized data, Empirical Rule, Chebychev

53. Which is not a correct statement concerning the mean?

A. Standardized data will always have a mean of 0 and a standard deviation of 1.

B. In a left-skewed distribution, we expect that the median will exceed the mean.

C. The sum of the deviations around the mean is always zero.

D. The value of the mean can clearly be seen on a box plot.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #53

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

54. Which is a correct statement concerning the median?

A. In a left-skewed distribution, we expect that the median will exceed the mean.

B. The sum of the deviations around the median is zero.

C. The median is an observed data value in any data set.

D. The median is halfway between Q1 and Q3 on a boxplot.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #54

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

55. Which statement is true?

A. With nominal data we can find the mode.

B. Outliers distort the mean but not the standard deviation.

C. Business and economic data are rarely skewed to the right.

D. If we sample a normal population, the sample skewness coefficient is exactly 0.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Knowledge

Blooms Taxonomy: Understanding

Difficulty: Medium

Doane Chapter 004 #55

Learning Objective: Identify the properties of common measures of central tendency.

Topic: central tendency and dispersion

56. Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, and 100. For this data set, which statement is incorrect concerning central tendency?

A. The median is 60.00.

B. The mode is not helpful.

C. The 5% trimmed mean would be awkward.

D. The geometric mean is 35.05.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #56

Learning Objective: Calculate and interpret common descriptive statistics.

Topic: calculating sample statistics

57. Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, 100. For this data set, which statement is incorrect concerning dispersion and shape? (Note: midrange is the average of the largest and smallest observation.)

A. The coefficient of variation is 65.7%.

B. The data are left-skewed due to low outliers.

C. The midrange and mean are almost the same.

D. The third quartile is approximately 90.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #57

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: calculating sample statistics

58. Exam scores in a small class were 0, 50, 50, 70, 70, 80, 90, 90, 100, 100. For this data set, which statement is incorrect concerning central tendency?

A. The median is 70.

B. The mode is not helpful.

C. The geometric mean is useless.

D. The mean is 70.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #58

Learning Objective: Use Excel to obtain descriptive statistics and visual displays.

Topic: calculating sample statistics

59. Exam scores in a random sample of students were 0, 50, 50, 70, 70, 80, 90, 90, 90, 100. Which statement is incorrect concerning dispersion and shape?

A. The standard deviation is 29.61.

B. The data are slightly left-skewed.

C. The median and mean are almost the same.

D. The third quartile is 90.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #59

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: calculating sample statistics

60. For Canadian men, the mean height is 174 cm with a standard deviation of 7 cm and the mean weight is 83 kg with a standard deviation of 8 kg. Henry is 170 cm tall and weighs 70 kg. It is correct to say that

A. Henry s weight is more unusual than his height.

B. Henry is heavier than he is tall.

C. Height and weight have the similar degree of variation.

D. Height has more variation than weight.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Hard

Doane Chapter 004 #60

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: calculating sample statistics

61. John scored 85 on Prof. Hardtacks exam (Q1 = 40 and Q3 = 60). Based on the fences, which is correct?

A. John is unusual but not an outlier.

B. John is an outlier.

C. John is neither unusual nor an outlier.

D. John is in the 85th percentile.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #61

Learning Objective: Calculate quartiles and other percentiles.

Topic: quartiles, percentiles, fences

62. John scored 35 on Prof. Hardtacks exam (Q1 = 70 and Q3 = 80). Based on the fences, which is correct?

A. John is unusual but not an outlier.

B. John is an outlier.

C. John is neither unusual nor an outlier.

D. John is in the 30th percentile.

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #62

Learning Objective: Calculate quartiles and other percentiles.

Topic: quartiles, percentiles, fences

63. A population consists of the following data: 7, 11, 12, 18, 20, 22, 25. The population variance is

A. 42.95

B. 36.82

C. 6.55

D. 22.86

AACSB Knowledge: Analytical skills

Blooms Taxonomy: Analysis

Blooms Taxonomy: Application

Difficulty: Medium

Doane Chapter 004 #63

Learning Objective: Calculate and interpret common measures of dispersion.

Topic: calculat

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