In: Statistics and Probability
2.32 The following are the grades that 50 students obtained on an accounting test:
73 |
65 |
82 |
70 |
45 |
50 |
70 |
54 |
32 |
75 |
75 |
67 |
65 |
60 |
75 |
87 |
83 |
40 |
72 |
64 |
58 |
75 |
89 |
70 |
73 |
55 |
61 |
78 |
89 |
93 |
43 |
51 |
59 |
38 |
65 |
71 |
75 |
85 |
65 |
85 |
49 |
97 |
55 |
60 |
76 |
75 |
69 |
35 |
45 |
63 |
Convert the distribution from classes 30-39, 40-49, 50-59, …, and 90-99 into cumulative “less than” distribution, beginning with “less than 30”.
2.34The following are the miles per gallon obtained with 40 tankful of gas:
24.1 |
25.0 |
24.8 |
24.3 |
24.2 |
25.3 |
24.2 |
23.6 |
24.5 |
24.4 |
24.5 |
23.2 |
24.0 |
23.8 |
23.8 |
25.3 |
24.5 |
24.6 |
24.0 |
25.2 |
25.2 |
24.4 |
24.7 |
24.1 |
24.6 |
24.9 |
24.1 |
25.8 |
24.2 |
24.2 |
24.8 |
24.1 |
25.6 |
24.5 |
25.1 |
24.6 |
24.3 |
25.2 |
24.7 |
23.3 |
Group these figures into a distribution having the classes 23.0-23.4, 23.5-23.9, 24.0-24.4, 24.5-24.9, 25.0-25.4, and 25.5-25.9.
b) Convert the distribution obtained in part (a) into a cumulative "or more" distribution, beginning with "23.0 or more" and ending with "26.0 or more."