Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The times, measured in minutes, needed by $150$ students to finish a puzzle are shown in the table. The time intervals are $0 \leq t < 20$, $20 \leq t < 30$, $30 \leq t < 35$, $35 \leq t < 40$, $40 \leq t < 50$, $50 \leq t < 70$ with matching frequencies $8$, $23$, $35$, $52$, $20$, and $12$.
(a)[4]

Draw a histogram to show this data.

(b)[3]

Calculate an estimate for the mean time taken by these students to complete the puzzle.

(c)[1]

Within which class interval does the lower quartile of the times lie?

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculates at least five correct frequency densities $\frac{f}{\text{class width}}$.

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