The manager of Hudson Auto Repair would like to get a better picture of the distribution of costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50 customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest dollar, are listed below. 91 78 93 57 75 52 99 80 73 62 71 69 72 89 66 75 79 75 72 76 104 74 62 68 97 105 77 65 80 109 85 97 88 68 83 68 71 69 67 74 62 82 98 101 79 105 79 69 62 73 Develop a frequency distribution for these cost data. Use your own judgment to determine the number of classes and class width that provide a distribution that will be meaningful and helpful to the manager. a. Develop a stem-and-leaf display showing both the rank order and shape of the data set. (3) b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s). (2) c. Which display is better at revealing the natural grouping and variation in the data? (1)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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The manager of Hudson Auto Repair would like to get a better picture of the distribution of
costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50
customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest
dollar, are listed below.
91
78
93
57
75
52
99
80
73 62
71
69
72
89
66
75
79
75
72 76
104 74
62
68
97
105
77
65
80
109
85
97
88
68
83
68
71
69 67
74
62
82
98
101 79
105 79
69
62
73
Develop a frequency distribution for these cost data. Use your own judgment to determine
the number of classes and class width that provide a distribution that will be meaningful and
helpful to the manager.
a. Develop a stem-and-leaf display showing both the rank order and shape of the data set.
(3)
b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s).
(2)
c. Which display is better at revealing the natural grouping and variation in the data?
(1)
Transcribed Image Text:The manager of Hudson Auto Repair would like to get a better picture of the distribution of costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50 customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest dollar, are listed below. 91 78 93 57 75 52 99 80 73 62 71 69 72 89 66 75 79 75 72 76 104 74 62 68 97 105 77 65 80 109 85 97 88 68 83 68 71 69 67 74 62 82 98 101 79 105 79 69 62 73 Develop a frequency distribution for these cost data. Use your own judgment to determine the number of classes and class width that provide a distribution that will be meaningful and helpful to the manager. a. Develop a stem-and-leaf display showing both the rank order and shape of the data set. (3) b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s). (2) c. Which display is better at revealing the natural grouping and variation in the data? (1)
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