CAIE A-Level Mathematics 5.1 Representation of data Question Bank

Includes all data
B1
Reference to either including all/raw data
or further statistical processes are possible that cannot be found using data from box-and-whisker, eg frequency, mean, mode or standard deviation not only median, IQR, range or spread which
can be found from both.

Key: 1|18| 2 means 181 cm for Amazons and 182 cm for Giants
B1
Correct stem can be upside down, ignore extra values
B1
Correct Amazons labelled on left, leaves in order from right to
left and lined up vertically (less than halfway to next column), no commas or other punctuation.
B1
Correct Giants labelled on same diagram, leaves in order and
lined up vertically (less than halfway to next column), no
commas or other punctuation.
B1
Correct single key for their diagram, need both teams identified and 'cm' stated at least once here or in leaf headings or title.
SC for if 2 separate diagrams drawn, award SCB1 if both keys meet these criteria (Max B1, B0, B0, B1)

$$\mathrm{UQ}=202\text{ cm},\qquad \mathrm{LQ}=182\text{ cm}, \qquad \mathrm{IQR}=202-182=20\text{ cm}.$$

$$\Sigma_{11}=2132,\qquad \Sigma_{15}=191.2(15)=2868.$$
Thus,
$$2868=2132+180+185+190+h, \qquad h=181\text{ cm}.$$