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Chapter5TestBank.docx

Comap FAPP Chapter 5 TestBank

1. Below are listed the ages (in months) of children at a daycare center. Choose the correct stemplot of the data.

18, 24, 25, 35, 37, 42, 47, 48, 48, 58

2. Below are listed the numbers of children in the classrooms of a small elementary school. Choose the correct stemplot of the data.

12, 14, 20, 21, 21, 25, 27, 30, 30, 30

3. Below are family income figures (in thousands of dollars) for 15 residents of a neighborhood. Make a stemplot of the income data.

17	31	25	30	21
25	28	19	32	25
32	27	21	26	21

4. Given the stemplot below, which description is true?

	a.	There are no outliers on the stemplot.
	b.	The numbers 29 and 75 are outliers on the stemplot.
	c.	The number 75 is the only outlier on the stemplot.
	d.	The number 60 is the only outlier on the stemplot.

5. Given the stemplot below, which description is true?

A graph is shown of a descending line on an x-y coordinate system. The line intersects the points (0, 3) and (6, 0). The area below the line is shaded.

	a.	There are no outliers on the stemplot.
	b.	The number 29 is the only outlier on the stemplot.
	c.	The numbers 29 and 75 are the only outliers on the stemplot.
	d.	The number 75 is the only outlier on the stemplot.

6. Given the stemplot below, which description is true?

0	1
1	89
2	0122
3	0023

	a.	The number 1 is the only outlier on the stemplot.
	b.	The distribution is right skewed.
	c.	The median is 21.
	d.	The range is 33.

7. The 50 measurements given below represent the weights, in ounces, of zucchini grown in a garden one summer. Make a histogram of the weights using classes of width of 5 oz. Does the distribution appear to be symmetric?

12	8	23	14	25	22	16	28	35	26
27	26	30	18	37	26	31	37	20	28
42	21	27	7	25	18	23	11	23	32
30	29	36	22	38	32	26	6	17	33
28	11	20	32	24	28	12	32	19	38

8. Below are exam scores for 26 students in an English course. Make a histogram of the scores.

84	77	67	94	90	77	79
81	56	89	77	88	72	93
74	76	28	80	58	94
66	77	89	81	78	93

9. Use the histogram of waiting times for patients at a health clinic to answer the following question.

A graph is shown of a descending line on an x-y coordinate system. The line intersects the y-axis at (0, 15) and the x-axis at (3, 0). The area below the line is shaded.

How many patients waited between 20 and 29 minutes?

	a.	2
	b.	3
	c.	6
	d.	8

10. Use the histogram of waiting times for patients at a health clinic to answer the following question.

A graph is shown of a descending line on an x-y coordinate system. The line intersects the y-axis at (0, 2) and the x-axis at (3, 0). The area below the line is shaded.

Based on the histogram, which statement must be true?

	a.	There are no gaps in the histogram.
	b.	Eight patients waited exactly 35 minutes.
	c.	Two patients were seen immediately on arrival at the clinic.
	d.	More patients waited longer than one-half hour than waited less than one-half hour.

11. Use the histogram of waiting times for patients at a health clinic to answer the following question.

Based on the histogram, which statement is true?

	a.	The histogram is roughly symmetric.
	b.	The class from 50 to 59 minutes represents 10 outliers.
	c.	There is a gap in the histogram.
	d.	The histogram is skewed to the right.

12. Below is a histogram of the ages of people attending a concert. Which statement is true?

A graph is shown on an x-y coordinate system with a feasible region. The x-axis ranges from 0 to 1000 in increments of 200. The y-axis ranges from 0 to 800 in increments of 200. The graph shows a descending line passing through the points (0, 600) and (900, 0). The area below the line bounded by the axes is shaded.

	a.	The histogram is roughly symmetric.
	b.	There is a gap in the histogram.
	c.	The histogram is skewed to the left.
	d.	The center of the distribution is at about age 50.

13. Given the histogram below, which statement is true?

	a.	The histogram has an outlier between 400 and 500.
	b.	The histogram is skewed to the right.
	c.	The histogram is symmetric.
	d.	The histogram has a gap between 400 and 500.

14. Given the histogram below, which statement is true?

	a.	The histogram has a gap.
	b.	There is an outlier at 100.
	c.	The histogram is skewed to the left.
	d.	The histogram is roughly symmetric.

15. Below are exam scores for 26 students in an English course. Find the median exam score.

84	77	67	94	90	77	79
81	56	89	77	88	72	93
74	76	28	80	58	94
66	77	89	81	78	93

16. Below are family income figures (in thousands of dollars) for 15 residents of a neighborhood. Find the median family income.

17	31	25	30	21
25	28	19	32	25
32	27	21	26	21

17. Below are the ages of 15 students in a college class.

27, 50, 33, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28

What is the median age?

	a.	34
	b.	31
	c.	41.3
	d.	20.6

18. Below are the ages of 15 students in a college class.

27, 50, 33, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28

What is the mean age?

	a.	34
	b.	31
	c.	41.3
	d.	20.6

19. Below are the ages of 15 students in a college class.

27, 50, 33, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28

What is the standard deviation of the ages?

	a.	26.4
	b.	20.6
	c.	19.9
	d.	4.5

20. Below are the ages of 15 students in a college class.

27, 50, 33, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28

What is the range of the middle 50% of the ages, ?

	a.	23
	b.	34
	c.	50
	d.	66

21. Find the mean of the following set of data:

23, 45, 26, 18, 11, 42, 35, 16, 32

22. Below are the ages of students attending an art exhibit. Find the mean age of the students.

11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18

23. Below are the heights (in inches) of students in a third-grade class. Find the mean height.

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

	a.	47.5
	b.	50
	c.	46.0625
	d.	47

24. Below are the heights (in inches) of students in a third-grade class. Find the median height.

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

	a.	47.5
	b.	50
	c.	46.0625
	d.	47

25. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the mean number of dogs owned?

	a.	0
	b.	0.5
	c.	0.9
	d.	1.29

26. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the median number of dogs owned?

	a.	0
	b.	0.5
	c.	0.9
	d.	1.29

27. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the standard deviation for these data?

	a.	0.91
	b.	1.11
	c.	1.22
	d.	1.29

28. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the first quartile for these data?

	a.	0
	b.	0.5
	c.	1
	d.	1.5

29. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the third quartile for these data?

	a.	0
	b.	0.5
	c.	1
	d.	1.5

30. Below is a list of the number of dogs owned by families in a particular neighborhood.

0, 0, 2, 1, 0, 1, 0, 4, 0, 1

What is the range for these data?

	a.	1
	b.	2
	c.	3
	d.	4

31. Below are the ages of students attending an art exhibit. Find the first and third quartiles of the data.

11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18

32. A linguist is studying the lengths of paragraphs in a given text. The number of words in 20 paragraphs are given below. Find the five-number summary for the data.

42	88	37	75	98	93	73	62	96	80
52	76	66	54	73	69	83	62	53	79

33. Find the five-number summary for the following set of data:

2	11	6	4	18
1	9	2	2	15
8	16	12	11	17

34. Below are the numbers of errors made by a typist on various pages of typing.

14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8

Find the mean number of errors.

	a.	6.5
	b.	7
	c.	9.583
	d.	10

35. Below are the numbers of errors made by a typist on various pages of typing.

14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8

Find the median number of errors.

	a.	6.5
	b.	7
	c.	9.583
	d.	10

36. Below are the numbers of errors made by a typist on various pages of typing.

14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8

Find the third quartile for the number of errors.

	a.	5
	b.	13
	c.	15.5
	d.	4.5

37. Below are the numbers of errors made by a typist on various pages of typing.

14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8

Find the first quartile for the number of errors.

	a.	5
	b.	13
	c.	15.5
	d.	4.5

38. Given the set of data below, find the mean.

2, 4, 4, 5, 6, 9

	a.	4.5
	b.	5
	c.	7
	d.	30

39. Given the set of data below, find the median.

2, 4, 4, 5, 6, 9

	a.	4.5
	b.	5
	c.	7
	d.	30

40. Given the set of data below, find the range.

2, 4, 4, 5, 6, 9

	a.	2
	b.	4
	c.	7
	d.	9

41. Below are the exam scores of 30 students. Make a boxplot of these data.

24	31	38	49	51	55	56	59	62	63
65	66	69	72	72	74	76	81	84	84
86	86	86	88	88	88	91	91	92	99

42. Below are the ages of 30 people who died in a city hospital in one month. Make a boxplot of these data.

7	22	25	31	37	38	41	48	49	50
55	58	62	62	64	65	66	66	72	75
76	76	76	85	86	88	88	88	92	94

43. The data below represent the numbers of auto accidents at a certain intersection each month for a year. Find the range of the data.

0, 1, 3, 4, 5, 2, 2, 6, 7, 2, 0, 1

44. Given the set of data below, find the standard deviation.

2, 4, 4, 5, 6, 9

	a.	2.37
	b.	4.5
	c.	4.74
	d.	5.6

45. Find the standard deviation of the following set of data:

5, 7, 17, 31, 45, 47, 68, 85, 96, 99

46. Given the set of data below, find the mean.

25, 16, 50, 19, 42, 37

	a.	34.5
	b.	31
	c.	31.5
	d.	50

47. Given the set of data below, find the median.

25, 16, 50, 19, 42, 37

	a.	34.5
	b.	31
	c.	31.5
	d.	50

48. Given the set of data below, find the range.

25, 16, 50, 19, 42, 37

	a.	12
	b.	34
	c.	50
	d.	66

49. Given the set of data below, find the standard deviation.

25, 16, 50, 19, 42, 37

	a.	6.07
	b.	13.58
	c.	184.3
	d.	921.5

50. Below are the numbers of pages in each of seven chapters of a textbook.

14, 14, 20, 38, 47, 48, 57

What is the mean number of pages?

	a.	34
	b.	38
	c.	37.33
	d.	42.5

51. Below are the numbers of pages in each of seven chapters of a textbook.

14, 14, 20, 38, 47, 48, 57

What is the median number of pages?

	a.	34
	b.	38
	c.	37.33
	d.	42.5

52. Below are the numbers of pages in each of seven chapters of a textbook.

14, 14, 20, 38, 47, 48, 57

What is the range?

	a.	14
	b.	38
	c.	43
	d.	71

53. Below are the numbers of pages in each of seven chapters of a textbook.

14, 14, 20, 38, 47, 48, 57

What is the standard deviation?

	a.	18.52
	b.	18
	c.	17.82
	d.	17.67

54. Below are the lengths (in minutes) of phone calls made to a business on one day. Find the five-number summary for these data.

14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8

	a.	5, 8, 14, 15.5, 20
	b.	2, 4, 7, 14, 35
	c.	2, 4, 6, 12, 19
	d.	2, 4.5, 6.5, 13, 35

55. Below are the numbers of accidents occurring at a certain corner on 15 consecutive days. Find the five-number summary of the data.

0, 1, 3, 4, 5, 2, 2, 6, 7, 2, 0, 1, 3, 6, 3

	a.	0, 1.5, 3.5, 5.5, 7
	b.	0, 1, 3, 5, 7
	c.	0, 4, 6, 1, 3
	d.	0, 1.5, 3, 5.5, 7

56. Below are the scores of 21 students on a history exam. Find the five-number summary of the scores.

50, 60, 60, 60, 65, 65, 70, 75, 75, 75, 75, 80, 80, 80, 85, 85, 90, 95, 95, 95, 100

	a.	50, 65, 75, 85, 100
	b.	50, 65, 75, 87.5, 100
	c.	50, 65, 76.9, 87.5, 100
	d.	50, 65, 77.5, 90, 100

57. Below are the ages of six patients seen by a pediatrician on one day. Find the standard deviation of the ages.

3, 6, 7, 9, 15, 20

58. Which of the following statements about measures of the center of a distribution of data is true?

	a.	Neither the mean nor the median is strongly affected by an outlier in the data.
	b.	The mean is strongly affected by an outlier in the data, but the median is not.
	c.	The median is strongly affected by an outlier in the data, but the mean is not.
	d.	Both the mean and the median are strongly affected by an outlier in the data.

59. Use the stemplot to answer the following question.

0	1234
1	03
2	14669
3
4	2789

What is the median of this dataset?

60. Use the stemplot to answer the following question.

0	1234
1	03
2	14669
3
4	2789

What is the range of this dataset?

61. Use the stemplot to answer the following question.

0	1234
1	03
2	14669
3
4	2789

What is the difference Q3 − Q1 for this dataset?

62. Use the stemplot to answer the following question.

0	1234
1	03
2	14669
3
4	2789

Find the five-number summary for this dataset.

63. Use the frequency distribution to answer the following question.

Value	1	2	3	6
Relative frequency	25%	25%	15%	35%

If the dataset contains 20 values, how many of them are 3?

	a.	6
	b.	4
	c.	3
	d.	2

64. Use the frequency distribution to answer the following question.

Value	1	2	3	6
Relative frequency	25%	25%	15%	35%

If the dataset contains 20 values, what is the median?

	a.	2
	b.	2.5
	c.	3
	d.	3.5

65. Use the frequency distribution to answer the following question.

Value	1	2	3	6
Relative frequency	25%	25%	15%	35%

Which of the following statements describes the mean of the distribution?

	a.	It is less than 2.
	b.	It is between 2 and 3.
	c.	It is larger than 3.
	d.	The mean cannot be determined from the frequency distribution.

66. Use the dataset to answer the following question.

3.1, 7.8, 8.4, 8.4, 9, 10.3, 12.1, 18.6, 120.0

What is the relative frequency of the data value 8.4?

67. Use the dataset to answer the following question.

3.1, 7.8, 8.4, 8.4, 9, 10.3, 12.1, 18.6, 120.0

What is the relative frequency of data values between 7.5 and 9.5?

68. Use the dataset to answer the following question.

3.1, 7.8, 8.4, 8.4, 9, 10.3, 12.1, 18.6, 120.0

Suppose you discover that the outlier 120.0 was recorded incorrectly: It really should be 20.0. When you change 120.0 to 20.0, is the new median larger, smaller, or the same?

69. Consider the following dataset:

1, 1, 3, 3, 6, 6, 6, 9, 11, 11

What is the relative frequency of the value 6?

	a.	6/11
	b.	2/11
	c.	4/10
	d.	3/10

70. A dataset consists of measurements of lengths in centimeters. What is the unit of the standard deviation?

71. Use the dataset to answer the following question.

Set A: 1, 2, 3, 4

Set B: 1, 1, 4, 7

Set C: 0, 5, 5, 10

Set D: 6, 6, 6, 6

Which dataset has standard deviation 0?

	a.	Set A
	b.	Set B
	c.	Set C
	d.	Set D

72. Use the dataset to answer the following question.

Set A: 1, 2, 3, 4

Set B: 1, 1, 4, 7

Set C: 0, 5, 5, 10

Set D: 6, 6, 6, 6

Which dataset has the largest mean?

	a.	Set A
	b.	Set B
	c.	Set C
	d.	Set D

73. Use the dataset to answer the following question.

Set A: 1, 2, 3, 4

Set B: 1, 1, 4, 7

Set C: 0, 5, 5, 10

Set D: 6, 6, 6, 6

Which dataset has the largest standard deviation?

	a.	Set A
	b.	Set B
	c.	Set C
	d.	Set D

74. Use the dataset to answer the following question.

Set A: 1, 2, 3, 4

Set B: 1, 1, 4, 7

Set C: 0, 5, 5, 10

Set D: 6, 6, 6, 6

Which dataset does NOT have a symmetric distribution?

	a.	Set A
	b.	Set B
	c.	Set C
	d.	Set D

75. Use the dataset to answer the following question.

Set A: 1, 2, 3, 4

Set B: 1, 1, 4, 7

Set C: 0, 5, 5, 10

Set D: 6, 6, 6, 6

Which dataset has a median of 2.5?

	a.	Set A
	b.	Set B
	c.	Set C
	d.	Set D

76. In a normal distribution with mean 100 and standard deviation 7, which value is more common: a value between 100 and 107 or a value outside the range 93 to 107?

77. Two towns both have a mean income for their residents of $30,000. The standard deviation of incomes of residents in Town A is $2600, and the standard deviation of incomes of residents in Town B is $25,000. Explain what this says about the difference in the distribution of incomes in the two towns.

78. Which of the following statements about measures of the spread of data is true?

	a.	Neither the quartiles nor the standard deviation is strongly affected by an outlier in the data.
	b.	The quartiles are strongly affected by an outlier in the data, but the standard deviation is not.
	c.	The standard deviation is strongly affected by an outlier in the data, but the quartiles are not.
	d.	Both the quartiles and the standard deviation are strongly affected by an outlier in the data.

79. Given the histogram below for a set of data, which of the following statements is true?

	a.	The five-number summary would describe the data better than the mean and standard deviation.
	b.	The mean and standard deviation would describe the data better than the five-number summary.
	c.	Either the mean and standard deviation or the five-number summary would be equally good to describe the data.
	d.	Neither the mean and standard deviation nor the five-number summary could be used to describe the data.

80. Given the histogram below for a set of data, which statement is true?

	a.	Either the mean or the median would describe the center of the data well.
	b.	The mean would be a better measure of the center of the data than the median.
	c.	The median would be a better measure of the center of the data than the mean.
	d.	Neither the mean nor the median would be a good measure of the center of the data.

81. Below are the ages of six patients seen by a pediatrician on one day. Find the standard deviation of the ages.

3, 7, 9, 9, 15, 18

82. Find the standard deviation of the following set of measurements.

4, 7, 9, 11, 13, 22

83. After computing the standard deviation for a set of measurements, you notice your answer is negative. Is this possible?

84. Could it be possible that the standard deviation is 0?

85. Given the histogram below for a set of data, which statement is true?

	a.	For the set of data shown, the mean and the median are about equal.
	b.	For the set of data shown, the mean is greater than the median.
	c.	For the set of data shown, the median is greater than the mean.
	d.	For the set of data shown, the relationship between the mean and the median cannot be determined.

86. Given the histogram below for a set of data, which statement is true?

	a.	For the set of data shown, the mean and the median are about equal.
	b.	For the set of data shown, the mean is greater than the median.
	c.	For the set of data shown, the median is greater than the mean.
	d.	For the set of data shown, the relationship between the mean and the median cannot be determined.

87. Below is a histogram of car prices on a used-car lot. An advertisement for the lot says the average price of a car for sale is $12,000. Could the advertisement be true? Why or why not?

88. Given the histogram below for a set of data, which statement is true?

	a.	For the set of data shown, the mean and the median are about equal.
	b.	For the set of data shown, the mean is greater than the median.
	c.	For the set of data shown, the median is greater than the mean.
	d.	For the set of data shown, the relationship between the mean and the median cannot be determined.

89. Below is a histogram for a set of data. Would you use the five-number summary or the mean and standard deviation to describe these data? Why?

90. In the list of five measurements shown below, one is blurred. What MUST this value be if the mean of the five measurements is 7?

91. A student earned three midterm scores as 80, 75, and 70, and a final test is left. What is the lowest final score if she wants to get the mean of test scores at least 80?

92. Below is a list of gas mileage ratings for selected passenger cars in miles per gallon:

53, 43, 89, 41, 85, 86, 91, 92, 95, 94, 86, 102, 114, 30, 123

Choose the correct histogram of the data.

	a.
	b.
	c.
	d.

93. Below is a list of gas mileage ratings for selected passenger cars in miles per gallon:

53, 43, 89, 41, 85, 86, 91, 92, 95, 94, 86, 102, 114, 30, 123

Choose the correct stemplot of the data.

	a.
	b.
	c.
	d.

94. In the list of five measurements shown below, one is blurred. Supply a fifth value that would make the median 8.

95. In the list of five measurements shown below, one is blurred. Supply a fifth value that would make the median 5.

96. The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What is the upper quartile of battery shelf life?

	a.	4.00 years
	b.	4.25 years
	c.	4.17 years
	d.	5.25 years

97. The length of students’ college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. What is the lower quartile for the length of students’ careers at Anytown University?

	a.	4.83 years
	b.	3.75 years
	c.	4.32 years
	d.	2.75 years

98. The scores of students on a standardized test form a normal distribution with a mean of 300 and a standard deviation of 40. What are the lower and upper quartile scores for this test?

	a.	280 and 320
	b.	273 and 327
	c.	260 and 340
	d.	150 and 450

99. Create a set of five positive numbers that have median 6 and mean 10.

100. Create a set of five positive numbers that have median 8 and mean 6.

101. The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study times is normal, what percent of students spend more than 25.1 hours per week on homework?

	a.	16.5%
	b.	5%
	c.	12.5%
	d.	25%

102. The scores of students on a standardized test are normally distributed with a mean of 300 and a standard deviation of 40. What is the probability that a randomly chosen student scores below 273 on the test?

	a.	Approximately 0.025
	b.	Approximately 0.25
	c.	Approximately 0.165
	d.	Approximately 0.125

103. Use the dataset

3, 4, 5, 6, 7.

What value could you add to this dataset that will cause the median to decrease while the range remains same?

104. Use the dataset

7, 8, 9, 10.

What value can you add to this dataset that will make the median equal to 8.5?

105. Would you expect the mean salary of WNBA basketball players to be larger than the median salary or smaller than the median salary?

106. The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie?

	a.	$40,000 and $44,000
	b.	$22,000 and $62,000
	c.	$32,000 and $52,000
	d.	$30,000 and $50,000

107. The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What range of years contains 68% of all battery shelf lives?

	a.	2 to 5 years
	b.	2.5 to 4.5 years
	c.	2.83 to 4.17 years
	d.	2.75 to 4.25 years

108. The scores of students on a standardized test are normally distributed with a mean of 300 and a standard deviation of 40. Between what two values do 99.7% of the test scores lie?

	a.	260 to 340
	b.	220 to 380
	c.	297 to 303
	d.	180 to 420

109. The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.4 hours. Assuming the distribution of study times is normal, what percent of students’ study between 22.9 and 25.7 hours?

	a.	99.7%
	b.	95%
	c.	68%
	d.	50%

10. The length of students’ college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. What percent of students have college careers lasting between 2 and 9 years?

	a.	50%
	b.	99.75%
	c.	68%
	d.	95%

111. The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What percent of batteries last between 1.25 and 5.75 years?

	a.	99.7%
	b.	95%
	c.	68%
	d.	50%

112. The annual income of residents in a certain county is normally distributed, with a mean of $42,000 and a standard deviation of $10,000. What is the probability that a randomly chosen resident has income over $52,000?

	a.	16%
	b.	32%
	c.	50%
	d.	68%

113. The weight of potato chip bags filled by a machine at a packaging plant is normally distributed, with a mean of 15.0 oz and a standard deviation of 0.2 oz. What is the probability that a randomly chosen bag will weigh less than 14.6 oz?

	a.	50%
	b.	5%
	c.	2.5%
	d.	2%

114. The weight of potato chip bags filled by a machine at a packaging plant is normally distributed, with a mean of 15.0 oz and a standard deviation of 0.2 oz. What is the probability that a randomly chosen bag will weigh more than 15.6 oz?

	a.	5%
	b.	2.5%
	c.	0.3%
	d.	0.15%

115. To answer the following question, assume that the heights of American women ages 18 to 24 are normally distributed, with mean 64.5 in. and standard deviation 2.5 in.

Twenty-year-old Amy is 67 in. tall. Where is she located in the height distribution of women ages 18 to 24?

	a.	Below the first quartile.
	b.	Between the first quartile and the mean.
	c.	Between the mean and the third quartile.
	d.	Above the third quartile.

116. To answer the following question, assume that the heights of American women ages 18 to 24 are normally distributed, with mean 64.5 in. and standard deviation 2.5 in.

Amy’s 18-year-old sister Mo is 64 in. tall. Where is she located in the height distribution of women ages 18 to 24?

	a.	Below the first quartile.
	b.	Between the first quartile and the mean.
	c.	Between the mean and the third quartile.
	d.	Above the third quartile.

117. To answer the following question, assume that the heights of American women ages 18 to 24 are normally distributed, with mean 64.5 in. and standard deviation 2.5 in.

About what percentage of American women ages 18 to 24 have heights greater than 69.5 in.?

	a.	2.5%
	b.	5%
	c.	32%
	d.	50%

118. Which of the following is true about any normal distribution?

	a.	It cannot include negative values.
	b.	Its standard deviation is 1.
	c.	It is symmetric and bell-shaped.
	d.	The distribution is completely characterized by the mean.

119. The distribution of home prices in Nirvana is skewed to the left. The median price is $167,900. The mean is

	a.	lower than $167,900.
	b.	greater than $167,900.
	c.	$167,900.
	d.	unable to be determined with this information.

120. Bruce is considering relocating to a new city. His options are Altuna, Boundary Valley, and Collie Creek. All other living expenses seem to be equal for the three choices, but Bruce is worried about his heating and cooling bill. The only information he has at his disposal is the following table:

City	Mean daily temperature	Standard deviation for the daily temperature
Altuna	64	15
Boundary Valley	64	16
Collie Creek	64	5

Which city is likely to have the least expensive heating and cooling costs?

	a.	Altuna
	b.	Boundary Valley
	c.	Collie Creek
	d.	Unable to be determined with this information

121. Below is a list of gas mileage ratings for selected passenger cars in miles per gallon:

53, 43, 89, 41, 85, 86, 91, 92, 95, 94, 86, 102, 114, 30, 123

Make a boxplot to represent these data.

122. A dataset consists of integer values. If the value 7 has relative frequency 2/11, which statement must be true?

	a.	The dataset contains 11 values.
	b.	The dataset contains 22 values.
	c.	At least two of the data values are equal to 7.
	d.	The mode of the dataset is 7.

123. If the values in a dataset are all multiplied by 3, what happens to the standard deviation?

	a.	It remains unchanged.
	b.	It gets multiplied by 3.
	c.	It gets multiplied by 9.
	d.	It cannot be determined without more information.

124. The scores of students on a standardized test form a normal distribution with a mean score of 500 and a standard deviation of 100. Between what two values do the middle 50% of scores lie?

125. The average length of time, per week, that students at a certain university spend on homework is normally distributed with a mean of 24.3 hours and a standard deviation of 1.4 hours. Jane tells her parents she spends more time studying than 75% of the students on campus. How many hours per week must Jane spend on homework for this to be true?

126. If the values in a dataset are all multiplied by −1, what happens to the standard deviation?

	a.	It remains unchanged.
	b.	It gets multiplied by −1.
	c.	It becomes 0.
	d.	It cannot be determined without more information.

127. The scores of students on a standardized test form a normal distribution with a mean of 300 and a standard deviation of 40. Two thousand students took the test. Find the number of students who score above 380.

128. The distribution of the scores on a standardized exam is approximately normal with mean 400 and standard deviation 35. What percentage of scores lie between 435 and 470?

129. The distribution of the scores on a standardized exam is approximately normal with mean 400 and standard deviation 35. Between what two values do the middle 50% of scores lie?

130. A standard score is a score expressed in standard deviation units. It is calculated as

For example, if scores on a literacy test have mean 50 and standard deviation 5, a score of 70 has standard score equal to

On this test, a score of 40 has standard score equal to

	a.	10.
	b.	−10.
	c.	8.
	d.	−2.

131. A standard score is a score expressed in standard deviation units. It is calculated as

For example, if scores on a literacy test have mean 50 and standard deviation 5, a score of 70 has standard score equal to

On this test, the score corresponding to a standard score of 5 is

	a.	25.
	b.
	c.	75.
	d.

132. A standard score is a score expressed in standard deviation units. It is calculated as

For example, if scores on a literacy test have mean 50 and standard deviation 5, a score of 70 has standard score equal to

On this test, a score of 50 has standard score equal to

	a.	10.
	b.
	c.	50.
	d.	25.

133. A standard score is a score expressed in standard deviation units. It is calculated as

For example, if scores on a literacy test have mean 50 and standard deviation 5, a score of 70 has standard score equal to

On this test, a person who got no questions right would have a standard score of

	a.	0.
	b.	−5.
	c.	−10.
	d.	−50.

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