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Date May 2010 Marks available 2 Reference code 10M.1.sl.TZ2.3
Level SL only Paper 1 Time zone TZ2
Command term Find Question number 3 Adapted from N/A

Question

The cumulative frequency graph shows the amount of time in minutes, 200 students spend waiting for their train on a particular morning.

Write down the median waiting time.

[1]
a.

Find the interquartile range for the waiting time.

[2]
b.

Draw a box and whisker plot on the grid below to represent this information.

[3]
c.

Markscheme

Median = 25 mins     (A1)     (C1)

[1 mark]

a.

32 – 16     (A1)
= 16     (A1)(ft)     (C2)

 

Notes: Award (A1) for identifying correct quartiles, (A1)(ft) for correct answer to subtraction of their quartiles.

 

[2 marks]

b.

median shown     (A1)(ft)
box with ends at their quartiles     (A1)(ft)
end points at 0 and 45 joined to box with straight lines     (A1)     (C3)

 

Note: Award (A1)(ft)(A1)(ft)(A0) if lines go right through the box.

 

[3 marks]

c.

Examiners report

This question was well answered with many candidates gaining full marks. Some received a unit penalty in part (a) for omitting the minutes.

a.

This question was well answered with many candidates gaining full marks.

b.

This question was well answered with many candidates gaining full marks. Most of the candidates knew how to draw the box and whisker plot. A mark was deducted if the whiskers were drawn all the way through the box.

c.

Syllabus sections

Topic 2 - Descriptive statistics » 2.6 » Measures of dispersion: range, interquartile range, standard deviation.
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