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Date November 2010 Marks available 3 Reference code 10N.2.sl.TZ0.1
Level SL only Paper 2 Time zone TZ0
Command term Find Question number 1 Adapted from N/A

Question

A standard die is rolled 36 times. The results are shown in the following table.


Write down the standard deviation.

[2]
a.

Write down the median score.

[1]
b.

Find the interquartile range.

[3]
c.

Markscheme

\(\sigma  = 1.61\)     A2     N2

[2 marks]

a.

median \( = 4.5\)     A1     N1

[1 mark]

b.

\({Q_1} = 3\) , \({Q_3} = 5\) (may be seen in a box plot)     (A1)(A1)

\({\text{IQR}} = 2\) (accept any notation that suggests the interval 3 to 5)     A1     N3

[3 marks]

c.

Examiners report

Surprisingly, this question was not answered well primarily due to incorrect GDC use and a lack of understanding of the terms "median" and "interquartile range". Many candidates opted for an analytical approach in part (a) which always resulted in mistakes.

a.

Some candidates wrote the down the mean instead of the median in part (b).

b.

Surprisingly, this question was not answered well primarily due to incorrect GDC use and a lack of understanding of the terms "median" and "interquartile range".

c.

Syllabus sections

Topic 5 - Statistics and probability » 5.1 » Presentation of data: frequency distributions (tables); frequency histograms with equal class intervals
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