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Date May 2013 Marks available 2 Reference code 13M.1.sl.TZ1.4
Level SL only Paper 1 Time zone TZ1
Command term Find Question number 4 Adapted from N/A

Question

The cumulative frequency graph shows the heights, in cm, of 80 young trees.

Write down the median height of the trees.

[1]
a.

Write down the 75th percentile.

[1]
b.

Find the interquartile range.

[2]
c.

Estimate the number of trees that are more than 40 cm in height.

[2]
d.

Markscheme

54 (cm)     (A1)     (C1)

a.

58     (A1)     (C1)

b.

58, 45     (A1)

Note: Award (A1) for 45 seen.

 

58 − 45

= 13     (A1)(ft)     (C2)

Note: Follow through from part (b).

c.

80 − 14     (M1)

Note: Award (M1) for 14 seen.

 

= 66     (A1)     (C2)

d.

Examiners report

The reading of values from a cumulative frequency was difficult for candidates and a notable number of candidates left this question unanswered or scored zero.

a.

The reading of values from a cumulative frequency was difficult for candidates and a notable number of candidates left this question unanswered or scored zero.

b.

The reading of values from a cumulative frequency was difficult for candidates and a notable number of candidates left this question unanswered or scored zero.

c.

The reading of values from a cumulative frequency was difficult for candidates and a notable number of candidates left this question unanswered or scored zero.

d.

Syllabus sections

Topic 2 - Descriptive statistics » 2.4 » Cumulative frequency tables for grouped discrete data and for grouped continuous data; cumulative frequency curves, median and quartiles
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