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Question
Write the class size and class limits in each of the following:
(i) 104, 114, 124, 134, 144, 154, and 164
(ii) 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97 and 102
(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5
Solution
(i) 104, 114, 124, 134, 144, 154 and 102
Class size = 114 – 104 = 10
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 104 | 104-(10/2)=99 | 104+(10/2)=109 | 99-109 |
| 114 | 114-(10/2)=109 | 114+(10/2)=119 | 109-119 |
| 124 | 119 | 129 | 119-129 |
| 134 | 129 | 139 | 129-139 |
| 144 | 139 | 149 | 139-149 |
| 154 | 149 | 159 | 149-159 |
| 164 | 159 | 169 | 159-169 |
(ii) 47, 52, 57, 62, 67, 72, 79, 82, 87, 92, 97, 1102
Class size = 52-47 = 5
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 47 | 47·(5/2)=44·5 | 47+(5/2)=49·5 | 44·5-49·5 |
| 52 | 49.5 | 54.5 | 49·5-54·5 |
| 57 | 54.5 | 59·5 | 54·5-59·5 |
| 62 | 59·5 | 64·5 | 59·5-64·5 |
| 67 | 64·5 | 69·5 | 64·5-69·5 |
| 72 | 69·5 | 74·5 | 69·5-74·5 |
| 77 | 74·5 | 79·5 | 74·5-79·5 |
| 82 | 79·5 | 84·5 | 79·5-84·5 |
| 87 | 84·5 | 89·5 | 84·5-89·5 |
| 92 | 89·5 | 94·5 | 89·5-94·5 |
| 97 | 94·5 | 99·5 | 94·5-99·5 |
| 102 | 99·5 | 104·5 | 99·5-104·5 |
(iii) Class size =17.5-12.5=5
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 12·5 | 12·5-(5/2)=10 | 12·5+(5/2)=15 | 10-15 |
| 17·5 | 17·5-2·5=15 | 17·5+2·5=20 | 15-20 |
| 22·5 | 22·5-2·5=20 | 22·5+2·5=25 | 20-25 |
| 27·5 | 27·5-2·5=25 | 27·5+2·5=30 | 25-30 |
| 32·5 | 32·5-2·5=30 | 32·5+2·5=35 | 30-35 |
| 37·5 | 37·5-2·5=35 | 37·5+2·5=40 | 35-40 |
| 42·5 | 42·5-2·5=40 | 42·5+2·5=45 | 40-45 |
| 47.5 | 47·5-2·5=45 | 47·5+2·5=50 | 45-50 |
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