Mathematics 4024 · O Level · Statistical charts and diagrams

Statistical charts and diagrams — practice question

The table below summarises the time taken by $80$ drivers to complete one particular journey.
(a)[3]

With $2\text{ cm}$ representing $10$ minutes, draw a horizontal axis for times from $60$ minutes up to $130$ minutes. Select an appropriate scale for the vertical axis, then draw a histogram for the data.

(b)[1]

Which interval contains the median time?

(c)[3]

Calculate an estimate for the mean time needed to complete the journey.

(d)[1]

A driver is selected at random. Calculate the probability that this driver took $95$ minutes or less to complete the journey.

(e(i))[2]

Two drivers are selected at random from the $80$. Calculate the probability that both took more than $100$ minutes to complete the journey.

(e(ii))[2]

Calculate the probability that one took $80$ minutes or less while the other took more than $110$ minutes.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Histogram drawn accurately

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