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Date November 2008 Marks available 1 Reference code 08N.2.sl.TZ0.3
Level SL only Paper 2 Time zone TZ0
Command term Write down Question number 3 Adapted from N/A

Question

The following is a cumulative frequency diagram for the time t, in minutes, taken by 80 students to complete a task.


Write down the median.

[1]
a.

Find the interquartile range.

[3]
b.

Complete the frequency table below.

[2]
c.

Markscheme

median \(m = 32\)     A1     N1

[1 mark]

a.

lower quartile \({Q_1} = 22\) , upper quartile \({Q_3} = 40\)     (A1)(A1)

\({\text{interquartile range}} = 18\)     A1      N3

[3 marks]

b.

     A1A1     N2

[2 marks]

c.

Examiners report

This question was answered successfully by a majority of candidates. A common error was to use values of 20 and 60 for the lower and upper quartiles. Some were careless when reading the graph scale and wrote incorrect answers as a result.

a.

This question was answered successfully by a majority of candidates. A common error was to use values of 20 and 60 for the lower and upper quartiles. Some were careless when reading the graph scale and wrote incorrect answers as a result.

b.

This question was answered successfully by a majority of candidates. A common error was to use values of 20 and 60 for the lower and upper quartiles. Some were careless when reading the graph scale and wrote incorrect answers as a result.

c.

Syllabus sections

Topic 5 - Statistics and probability » 5.3 » Cumulative frequency; cumulative frequency graphs; use to find median, quartiles, percentiles.
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