Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The heights, $x$ cm, of a set of 28 people were recorded. The mean height was 172.6 cm and the standard deviation was 4.58 cm. One person with height 161.8 cm then left the group.
(i)[2]

Find the mean height of the 27 people left in the group.

(ii)[4]

Determine $\Sigma x^2$ for the original group of 28 people. Hence determine the standard deviation of the heights of the remaining group of 27 people.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $\frac{172.6 \times 28 - 161.8}{27}$

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