| Date | May 2008 | Marks available | 2 | Reference code | 08M.1.sl.TZ2.13 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 13 | Adapted from | N/A |
Question
A random sample of 200 females measured the length of their hair in cm. The results are displayed in the cumulative frequency curve below.
Write down the median length of hair in the sample.
Find the interquartile range for the length of hair in the sample.
Given that the shortest length was \(6{\text{ cm}}\) and the longest \(47{\text{ cm}}\), draw and label a box and whisker plot for the data on the grid provided below.
Markscheme
Unit penalty (UP) is applicable where indicated in the left hand column.
(UP) \(26{\text{cm}}\) (A1) (C1)
[1 mark]
Unit penalty (UP) is applicable where indicated in the left hand column.
\(33 - 19\) for identifying correct quartiles. (A1)
(UP) \( = 14{\text{ cm}}\) . (A1)(ft) (C2)
Note: (ft) on their quartiles.
[2 marks]
correct median (A1)(ft)
correct quartiles and box (A1)(ft)
endpoints at \(6\) and \(47\), joined to box by straight lines. (A1) (C3)
[3 marks]
Examiners report
This was done well by most candidates. Some did not realise what the inter-quartile range was, and just quoted the quartiles.
This was done well by most candidates. Some did not realise what the inter-quartile range was, and just quoted the quartiles.
This was done well by most candidates. Some did not realise what the inter-quartile range was, and just quoted the quartiles.
