Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

A village has 160 residents. The cumulative frequency graph gives details of their ages.
(a(i)(a))[1]

Find an estimate of the median age.

(a(i)(b))[1]

Find an estimate of the lower quartile.

(a(i)(c))[2]

Find an estimate for how many people are $50$ or more years old.

(a(i)(d))[2]

Find an estimate of the 65th percentile.

(a(ii)(a))[3]

Draw a box-and-whisker plot to display the age distribution in the village.

(a(ii)(b))[1]

Write down an estimate of the percentage of people in the village who are younger than the median age.

(b)[3]

Use the grid to finish the histogram so that it shows this information. The first block has already been drawn for you.

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