Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The weights, in grams, of several stones, each measured to the nearest gram, are summarised in the table below. A histogram has been drawn using a vertical scale of 1 cm to 1 unit, where the unit stands for frequency density. The $1$-$10$ rectangle has a height of $3$ cm.
(i)[4]

Calculate the value of $x$ and the height of the $51$-$70$ rectangle.

(ii)[3]

Calculate an estimate of the mean weight of the stones.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: A try at applying frequency density $= \frac{\text{frequency}}{\text{class width}}$

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