Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

A company carried out a survey asking staff how long they spent travelling to work on one day. The table below summarises the times for 120 employees.
(a(i))[1]

Fill in the cumulative frequency table.

(a(ii))[2]

On the grid, sketch a smooth cumulative frequency curve to show these results.

(b(i))[1]

Use your curve to estimate the median time.

(b(ii))[2]

Use your curve to estimate the interquartile range of the times.

(c)[3]

Calculate an estimate of the mean time taken for the employees to travel to work.

Worked solution & mark scheme

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