(a)[2]
Find the mean height of the 17 members in the club.
(b)[3]
Find the standard deviation of the heights of the 17 members of the club.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A sports club runs both a volleyball team and a hockey team. For the 6 volleyball players, the heights are summarised by $\Sigma x = 1050$ and $\Sigma x^2 = 193700$, where $x$ is the height of a member in cm. For the 11 hockey players, the heights are summarised by $\Sigma y = 1991$ and $\Sigma y^2 = 366400$, where $y$ is the height of a member in cm.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies mean formula with substitution: $\frac{\Sigma x + \Sigma y}{6+11} = \frac{1050 + 1991}{17}$” …
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