Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The table below summarises the heights, to the nearest metre, of $134$ office buildings in a particular city; the height groups are $21\text{-}40$, $41\text{-}45$, $46\text{-}50$, $51\text{-}60$, $61\text{-}80$ metres, and the corresponding frequencies are $18, 15, 21, 52,$ and $28$.
(i)[4]

On graph paper, draw a histogram to represent the data.

(ii)[5]

Calculate estimates for the mean and standard deviation of these heights.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Attempt at a scaled frequency diagram using frequency density

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