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Date November 2017 Marks available 3 Reference code 17N.1.SL.TZ0.T_1
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Draw Question number T_1 Adapted from N/A

Question

A group of 20 students travelled to a gymnastics tournament together. Their ages, in years, are given in the following table.

N17/5/MATSD/SP1/ENG/TZ0/01

The lower quartile of the ages is 16 and the upper quartile is 18.5.

For the students in this group write down the median age.

[1]
a.ii.

Draw a box-and-whisker diagram, for these students’ ages, on the following grid.

N17/5/MATSD/SP1/ENG/TZ0/01.b

[3]
b.

Markscheme

16.5     (A1)     (C1)

[1 mark]

a.ii.

N17/5/MATSD/SP1/ENG/TZ0/01.b/M     (A1)(A1)(A1)(ft)     (C3)

 

Note:     Award (A1) for correct endpoints, (A1) for correct quartiles, (A1)(ft) for their median. Follow through from part (a)(ii), but only if median is between 16 and 18.5. If a horizontal line goes through the box, award at most (A1)(A1)(A0). Award at most (A0)(A1)(A1) if a ruler has not been used.

 

[3 marks]

b.

Examiners report

[N/A]
a.ii.
[N/A]
b.

Syllabus sections

Topic 4—Statistics and probability » SL 4.2—Histograms, CF graphs, box plots
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Topic 4—Statistics and probability » SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
Topic 4—Statistics and probability

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