Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

Information on running-time data is provided.
(a(i))[1]

State which interval is the modal class.

(a(ii))[3]

Calculate an estimated mean time for these athletes.

(a(iii))[2]

Calculate the probability that a randomly selected athlete took less than $60$ seconds to complete the $400\text{ m}$.

(b(i))[1]

Find the median value of the times.

(b(ii))[2]

Find the interquartile range of the data.

(b(iii))[3]

Using the extra information about girls’ times, draw the cumulative frequency curve on the grid above.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The interval is $55\le t<60$.

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