9709 P63 - Jun 2011 - Q3
2474
The following cumulative frequency table shows the examination marks for 300 candidates in country A and 300 candidates in country B.
| Mark | \(< 10\) | \(< 20\) | \(< 35\) | \(< 50\) | \(< 70\) | \(< 100\) |
|---|---|---|---|---|---|---|
| Cumulative frequency, A | 25 | 68 | 159 | 234 | 260 | 300 |
| Cumulative frequency, B | 10 | 46 | 72 | 144 | 198 | 300 |
- Without drawing a graph, show that the median for country B is higher than the median for country A.
- Find the number of candidates in country A who scored between 20 and 34 marks inclusive.
- Calculate an estimate of the mean mark for candidates in country A.
