Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The travel times, measured in minutes, for 360 employees at a large company who commute from home to work are summarised in the table below: Time, $t$ minutes: $0 \leq t < 5$, $5 \leq t < 10$, $10 \leq t < 20$, $20 \leq t < 30$, $30 \leq t < 50$ with the matching frequencies 23, 102, 135, 76, and 24.
(a)[4]

Draw a histogram to show this data.

(b)[2]

Calculate an estimate of the mean time that an employee takes to travel to work.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Four or more correct frequency densities calculated using $\frac{f}{\text{class width}}$.

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