Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

Garage A notes how much petrol was bought by the first 120 customers in one day.
(a)[1]

Complete the cumulative-frequency table shown below.

(b)[3]

Draw a cumulative frequency curve on the grid below to show this data.

(c(i))[1]

Use your graph to work out an estimate of the median.

(c(ii))[1]

Use your graph to work out the 90th percentile of the distribution.

(d)[3]

Using the grid on the previous page, draw the cumulative frequency curve for garage B.

(e)[3]

Use your graphs to estimate how many of these customers were offered a gift at each garage, then complete the sentence.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: 58, 88, 104, 113 and 118

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