4 A library allows each member to have up to 15 books on loan at any one time.
The table shows the numbers of books currently on loan to a random sample of 95 members of the library.
| Number of books on loan | 0 | 1 | 2 | 3 | 4 | \(5 - 9\) | \(10 - 14\) | 15 |
| Number of members | 4 | 13 | 24 | 17 | 15 | 11 | 5 | 6 |
- For these data:
- state values for the mode and range;
- determine values for the median and interquartile range;
- calculate estimates of the mean and standard deviation.
- Making reference to your answers to part (a), give a reason for preferring:
- the median and interquartile range to the mean and standard deviation for summarising the given data;
- the mean and standard deviation to the mode and range for summarising the given data.
(1 mark)