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Date November 2009 Marks available 3 Reference code 09N.1.sl.TZ0.5
Level SL only Paper 1 Time zone TZ0
Command term Draw Question number 5 Adapted from N/A

Question

A cumulative frequency graph is given below which shows the height of students in a school.

Write down the median height of the students.

[1]
a.

Write down the 25th percentile.

[1]
b.

Write down the 75th percentile.

[1]
c.

The height of the tallest student is 195 cm and the height of the shortest student is 136 cm.

Draw a box and whisker plot on the grid below to represent the heights of the students in the school.


[3]
d.

Markscheme

170     (A1)     (C1)

[1 mark]

a.

163     (A1)     (C1)

[1 mark]

b.

172     (A1)     (C1)

[1 mark]

c.

     (A1)(ft)(A1)(ft)(A1)     (C3)


Notes: Award (A1)(ft) for correct median, (A1)(ft) for correct quartiles and box (A1) for correct end points of whiskers.

Award at most (A1)(A1)(A0) if lines go right through the box.

 

[3 marks]

d.

Examiners report

The box and whisker plot was well done, even when the students had incorrect values. Most candidates found the correct median but a few could not find the 25th and 75th percentiles.

a.

The box and whisker plot was well done, even when the students had incorrect values. Most candidates found the correct median but a few could not find the 25th and 75th percentiles.

b.

The box and whisker plot was well done, even when the students had incorrect values. Most candidates found the correct median but a few could not find the 25th and 75th percentiles.

c.

The box and whisker plot was well done, even when the students had incorrect values. Most candidates found the correct median but a few could not find the 25th and 75th percentiles.

d.

Syllabus sections

Topic 2 - Descriptive statistics » 2.4 » Box-and-whisker diagram.
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