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Question
Construct a frequency distribution table for the following distributions:
| Marks (less than) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| Cumulative frequency | 0 | 7 | 28 | 54 | 71 | 84 | 105 | 147 | 180 | 196 | 200 |
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Solution
| Marks (less than) |
Cumulative frequency |
Frequency |
| 0-10 | 7 | 7 |
| 10-20 | 28 | 28 - 7 = 21 |
| 20-30 | 54 | 54 - 28 = 26 |
| 30-40 | 71 | 71 - 54 = 17 |
| 40-50 | 84 | 84 - 71 = 13 |
| 50-60 | 105 | 105 - 84 = 21 |
| 60-70 | 147 | 147 - 105 = 42 |
| 70-80 | 180 | 180 - 147 = 33 |
| 80-90 | 196 | 196 - 180 = 16 |
| 90-100 | 200 | 200 - 196 = 4 |
| Total | 200 |
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| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 2 | 3 | 7 | 8 | 5 |
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| Weight | Frequency |
| 40 - 45 | 5 |
| 45 - 50 | 17 |
| 50 - 55 | 22 |
| 55 - 60 | 45 |
| 60 - 65 | 51 |
| 65 - 70 | 31 |
| 70 - 75 | 20 |
| 75 - 80 | 9 |
Use your ogive to estimate the following:
(i) The percentage of students weighing 55kg or more.
(ii) The weight above which the heaviest 30% of the students fall.
(iii) The number of students who are:
(1) under-weight and
(2) over-weight, if 55·70 kg is considered as standard weight.
Cumulative frequency curve is also called ______.
