2 The following data are the joint temperatures of the Oring
2. The following data are the joint temperatures of the O-rings (degree F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1, pp. 129 ? 131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31. i. Construct a frequency distribution diagram. ii. Calculate and show the percentiles with relative frequency and cumulative frequency in your diagram.
Solution
(i)
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(ii)
| Data | |||||
| lower | upper | midpoint | width | frequency | |
| 31 | < | 41 | 36 | 10 | 2 |
| 41 | < | 51 | 46 | 10 | 2 |
| 51 | < | 61 | 56 | 10 | 6 |
| 61 | < | 71 | 66 | 10 | 14 |
| 71 | < | 81 | 76 | 10 | 9 |
| 81 | < | 91 | 86 | 10 | 3 |
| 36 |
