Date | May 2008 | Marks available | 3 | Reference code | 08M.1.sl.TZ1.2 |
Level | SL only | Paper | 1 | Time zone | TZ1 |
Command term | Plot | Question number | 2 | Adapted from | N/A |
Question
There are 120 teachers in a school. Their ages are represented by the cumulative frequency graph below.
Write down the median age.
Find the interquartile range for the ages.
Given that the youngest teacher is 21 years old and the oldest is 72 years old, represent the information on a box and whisker plot using the scale below.
Markscheme
Median =45 (A1) (C1)
Accept 45.5
[1 mark]
53−37 for identifying correct quartiles (A1)
=16 for correct answer to subtraction (A1)(ft) (C2)
(ft) on their quartiles
[2 marks]
Median marked correctly. (A1)(ft)
Box with ends at candidate’s quartiles. (A1)(ft)
End points at 21 and 72 joined to box with straight lines. (A1) (C3)
Note: Award (A0) if lines go right through the box.
[3 marks]
Examiners report
Accuracy reading the graph in part (a) was a problem with little allowance given. A number read the maximum as 130 instead of 120.
Part (b) was poorly done. Many candidates did not know how to find the quartile values from the graph.
Accuracy reading the graph in part (a) was a problem with little allowance given. A number read the maximum as 130 instead of 120. Part (b) was poorly done. Many candidates did not know how to find the quartile values from the graph. Many candidates gained follow through marks for the box and whisker plot by writing down their values for part (b). Some candidates did lose a mark for drawing the whiskers through the box.