9709 P52 - Mar 2022 - Q3
2417
At a summer camp an arithmetic test is taken by 250 children. The times taken, to the nearest minute, to complete the test were recorded. The results are summarised in the table.
| Time taken (minutes) | 1–30 | 31–45 | 46–65 | 66–75 | 76–100 |
|---|---|---|---|---|---|
| Frequency | 21 | 30 | 68 | 86 | 45 |
(a) Draw a histogram to represent this information.
(b) State which class interval contains the median.
(c) Given that an estimate of the mean time is 61.05 minutes, state what feature of the distribution accounts for the median and the mean being different.
