Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

For 40 values of $x$, the following totals are given: $\sum (x - k) = 520$, $\sum (x - k)^2 = 9640$, with $k$ a constant.
(a)[2]

Using the fact that the mean of these 40 values of $x$ is $34$, determine the value of $k$.

(b)[2]

Find the variance for these 40 values of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sets up the correct equation for the mean, for example $\frac{\sum x}{40}-k=\frac{\sum(x-k)}{40}$.

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