1 The number of matches in each of a sample of 85 boxes is summarised in the table.
| Number of matches | Number of boxes |
| Less than 239 | 1 |
| 239-243 | 1 |
| 244-246 | 2 |
| 247 | 3 |
| 248 | 4 |
| 249 | 6 |
| 250 | 10 |
| 251 | 13 |
| 252 | 16 |
| 253 | 20 |
| 254 | 5 |
| 255-259 | 3 |
| More than 259 | 1 |
| Total | 85 |
- For these data:
- state the modal value;
- determine values for the median and the interquartile range.
- Given that, on investigation, the 2 extreme values in the above table are 227 and 271 :
- calculate the range;
- calculate estimates of the mean and the standard deviation.
- For the numbers of matches in the 85 boxes, suggest, with a reason, the most appropriate measure of spread.