The table below shows the mark distribution of candidates in an aptitude test for selection...
MATHEMATICS
WAEC 1997
The table below shows the mark distribution of candidates in an aptitude test for selection into the public service.
| Marks (in %) | Freq |
| 44 - 46 | 2 |
| 47 - 49 | 5 |
| 50 - 52 | 11 |
| 53 - 55 | 20 |
| 56 - 61 | 42 |
| 62 - 64 | 46 |
| 65 - 67 | 36 |
| 68 - 70 | 9 |
| 71 - 73 | 3 |
(a) Make a cumulative frequency for the distribution
(b) Draw the cumulative frequency curve.
(c) From your graph, estimate the median mark.
(d) The cut-off mark was 63%. What percentage of the candidates was selected?
Explanation
(a)
| Marks (in %) | Freq | Class boundaries | Cum Freq |
| 44 - 46 | 2 | 43.5 - 46.5 | 2 |
| 47 - 49 | 5 | 46.5 - 49.5 | 7 |
| 50 - 52 | 11 | 49.5 - 52.5 | 18 |
| 53 - 55 | 20 | 52.5 - 55.5 | 38 |
| 56 - 61 | 42 | 55.5 - 61.5 | 80 |
| 62 - 64 | 46 | 61.5 - 64.5 | 126 |
| 65 - 67 | 36 | 64.5 - 67.5 | 162 |
| 68 - 70 | 9 | 67.5 - 70.5 | 171 |
| 71 - 73 | 3 | 70.5 - 73.5 | 174 |
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