Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The heights, in cm, of the 11 basketball players in each of the two clubs, the Amazons and the Giants, are given below.
(a)[1]

State one benefit of a stem-and-leaf diagram over a box-and-whisker plot for showing this data.

(b)[4]

Show the data in a back-to-back stem-and-leaf diagram, placing the Amazons on the left-hand side of the diagram.

(c)[2]

Find the interquartile range of the heights of the players in the Amazons.

(d)[3]

Four new players join the Amazons. The mean height of the 15 players in the Amazons is now $191.2\text{ cm}$. The heights of three of the new players are $180\text{ cm}$, $185\text{ cm}$ and $190\text{ cm}$. Find the height of the fourth new player.

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