Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The back-to-back stem-and-leaf diagram gives the diameters, in cm, of 19 cylindrical pipes made by each of the two companies, A and B. Key: $1\,|\,35\,|\,3$ shows that the pipe diameter from company A is $0.351\text{ cm}$ and from company B is $0.353\text{ cm}$.
(a)[3]

Determine the median and interquartile range of the pipes made by company $A$.

(b)[3]

Construct box-and-whisker plots for companies $A$ and $B$ on the grid below.

(c)[1]

Give one comparison between the diameters of pipes produced by companies $A$ and $B$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Median correctly identified as $0.355$

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