Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

One hundred students each reported the amount of money, $m$, that they spent over one week. The frequency table gives the outcomes.
(a)[4]

Calculate a mean estimate.

(b)[2]

Fill in the cumulative frequency table below.

(c)[3]

On the grid, sketch the cumulative frequency diagram.

(d(i))[1]

Use your cumulative frequency diagram to estimate the median.

(d(ii))[2]

Use your cumulative frequency diagram to estimate the interquartile range.

(d(iii))[2]

Use your cumulative frequency diagram to estimate how many students spent more than $25$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate use of midpoints and frequency density

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