Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The cumulative frequency diagram displays the results from 200 students who estimated the volume $V\,\text{m}^3$ of a classroom.
(a(i))[1]

Find the median value.

(a(ii))[1]

Find the lower quartile value.

(a(iii))[1]

Find the inter-quartile range value.

(a(iv))[2]

Find how many students estimate that the volume is greater than $300\,\text{m}^3$.

(b(i))[4]

Calculate an estimate of the mean, showing all working.

(b(ii))[4]

Complete the histogram so that it displays the information in the table.

(b(iii))[2]

Select two of the 200 students at random. Find the probability that both of them estimate the area to be greater than $100\,\text{m}^2$.

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