Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

For the 22 cars that passed a particular point, the speeds, $x$ kilometres per hour, were summarised by the information $\sum (x - 50) = 81.4$ and $\sum (x - 50)^2 = 671.0$.
(main)[4]

Find the variance of the speeds and then use it to obtain the value of $\sum x^2$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the coded or uncoded variance formula with the given mean to start the variance calculation

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