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Date May 2009 Marks available 1 Reference code 09M.1.sl.TZ1.1
Level SL only Paper 1 Time zone TZ1
Command term Write down Question number 1 Adapted from N/A

Question

Eight houses in a street are inhabited by different numbers of people, as shown in the table below.

The following statements refer to the number of inhabitants per house. Write down true (T) or false (F) for each.

The mean is \(5\).

[1]
a, i.

The range is \(4\).

[1]
a, ii.

The mode is \(6\).

[1]
a, iii.

The standard deviation is \(1.4\) correct to \(2\) significant figures.

[1]
a, iv.

Calculate the interquartile range for the number of inhabitants per house.

[2]
b.

Markscheme

F    (A1)

[1 mark]

a, i.

T    (A1)

[1 mark]

a, ii.

F     (A1)

[1 mark]

a, iii.

F     (A1)     (C4)

[1 mark]

a, iv.

IQR = 6 − 4     (M1)


Note: Award (M1) for identifying correct quartiles.


IQR = 2     (A1)(ft)     (C2)

[2 marks]

b.

Examiners report

It was expected that candidates would use the GDC for this question.

a, i.

It was expected that candidates would use the GDC for this question.

a, ii.

It was expected that candidates would use the GDC for this question.

a, iii.

It was expected that candidates would use the GDC for this question.

It was pleasing to note that most candidates were able to choose the appropriate standard deviation.

a, iv.

It was expected that candidates would use the GDC for this question.

A common error was writing the IQR as an interval.

b.

Syllabus sections

Topic 2 - Descriptive statistics » 2.5 » Measures of central tendency.
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