| Date | May 2014 | Marks available | 2 | Reference code | 14M.1.sl.TZ2.5 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 5 | Adapted from | N/A |
Question
The distribution of rainfall in a town over 80 days is displayed on the following box-and-whisker diagram.
Write down the median rainfall.
[1]
a.
Write down the minimum rainfall.
[1]
b.
Find the interquartile range.
[2]
c.
Write down the number of days the rainfall will be
(i) between 43 mm and 48 mm;
(ii) between 20 mm and 59 mm.
[2]
d.
Markscheme
\(43 {\text{ (mm)}}\) (A1) (C1)
[1 mark]
a.
\(10{\text{ (mm)}}\) (A1) (C1)
[1 mark]
b.
\(48 - 20\) (A1)
\( = 28\) (A1) (C2)
Note: Award (A1) for identifying correct quartiles, (A1) for correct subtraction of the quartiles.
[2 marks]
c.
(i) 20 (days) (A1)
(ii) 60 (days) (A1) (C2)
[2 marks]
d.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.
Syllabus sections
Topic 2 - Descriptive statistics » 2.6 » Measures of dispersion: range, interquartile range, standard deviation.
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