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Date May 2011 Marks available 2 Reference code 11M.1.sl.TZ1.14
Level SL only Paper 1 Time zone TZ1
Command term Calculate Question number 14 Adapted from N/A

Question

The weights in kg, of 80 adult males, were collected and are summarized in the box and whisker plot shown below.

Write down the median weight of the males.

[1]
a.

Calculate the interquartile range.

[2]
b.

Estimate the number of males who weigh between 61 kg and 66 kg.

[1]
c.

Estimate the mean weight of the lightest 40 males.

[2]
d.

Markscheme

61 kg     (A1)     (C1)

[1 mark]

a.

6652     (A1)
=14     (A1)(ft)     (C2)

Note: Award (A1) for identifying quartiles, (A1)(ft) for correct subtraction of their quartiles.

[2 marks]

b.

20     (A1)     (C1)

[1 marks]

c.

49.5×20+56.5×2040     (M1)

Note: Award (M1) for multiplication of midpoints by frequencies.

 

=53 kg     (A1)     (C2)

[2 marks]

d.

Examiners report

Question 14 parts a and b were well done.

a.

Question 14 parts a and b were well done.

b.

Parts c and d were omitted or incorrectly answered more frequently than any other question on the exam paper.

c.

Parts c and d were omitted or incorrectly answered more frequently than any other question on the exam paper.

d.

Syllabus sections

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