Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The masses, measured in kilograms, of the 15 rugby players in teams $A$ and $B$ are shown below.
(i)[4]

Display the data with a back-to-back stem-and-leaf diagram, putting team $A$ on the left-hand side of the diagram and team $B$ on the right-hand side.

(ii)[2]

Calculate the interquartile range of the weights of the players in team $A$.

(iii)[3]

A new player joins team $B$ as a substitute. The mean weight of the 16 players in team $B$ is now $93.9\ \text{kg}$. Find the player's weight.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate stem-and-leaf diagram for team $A$

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