1 The times, in seconds, taken by 20 people to solve a simple numerical puzzle were
| 17 | 19 | 22 | 26 | 28 | 31 | 34 | 36 | 38 | 39 |
| 41 | 42 | 43 | 47 | 50 | 51 | 53 | 55 | 57 | 58 |
- Calculate the mean and the standard deviation of these times.
- In fact, 23 people solved the puzzle. However, 3 of them failed to solve it within the allotted time of 60 seconds.
Calculate the median and the interquartile range of the times taken by all 23 people.
(4 marks) - For the times taken by all 23 people, explain why:
- the mode is not an appropriate numerical measure;
- the range is not an appropriate numerical measure.