Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The hotel contains $90$ rooms. The table gives details of how many rooms were occupied on each day over a span of $200$ days.
(i)[4]

Use graph paper to draw a cumulative frequency graph for this data.

(ii)[2]

Estimate how many days had more than $30$ rooms occupied.

(iii)[2]

On $75\%$ of the days at most $n$ rooms were occupied. Estimate the value of $n$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Initial attempt at cumulative frequency table

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