Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

Lim cultivates tomatoes. The masses, $m$ grams, of $200$ of her tomatoes are measured. The cumulative frequency table gives the data.
(a)[2]

On the grid, draw a cumulative frequency diagram to show these results.

(b(i))[1]

From your diagram, estimate the median.

(b(ii))[2]

From the diagram, estimate the interquartile range.

(c)[2]

Ravi also grows tomatoes. The masses of $200$ of his tomatoes are recorded as well. For Ravi’s tomatoes, the median mass was $124\,\text{g}$ and the interquartile range of the masses was $12\,\text{g}$.\n\nMake two comments comparing the masses of tomatoes grown by Lim with those grown by Ravi.

(d(i))[1]

Fill in the frequency table for the masses of tomatoes grown by Lim.

(d(ii))[1]

State the modal class.

(d(iii))[3]

Calculate a mean-mass estimate for these tomatoes.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate cumulative frequency curve

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