Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A traffic camera recorded the speeds, $x$ kilometres per hour, of 8 cars moving along one street and obtained these results: $62.7,\;59.6,\;64.2,\;61.5,\;68.3,\;66.9,\;62.0,\;62.3$.
(i)[1]

Calculate $\Sigma(x - 62)$.

(ii)[1]

Calculate $\Sigma(x - 62)^2$.

(iii)[3]

Determine the mean and variance of the speeds of the 8 cars.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate total of $0.7-2.4+2.2-0.5+6.3+4.9+0+0.3=11.5$

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