Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The table gives the distances, $d$ m, of the javelin throws made by $80$ women.
(a)[1]

A woman is picked at random. Find the probability that her javelin throw was $30$ metres or less.

(b)[3]

Calculate an estimated mean distance for the javelin throws.

(c)[3]

Draw the cumulative frequency diagram for this data on the grid provided on the next page.

(d(i))[1]

Use your graph to find an estimated median.

(d(ii))[2]

Use your graph to find an estimated interquartile range.

(e)[2]

Women whose javelin throw exceeded $43\text{ m}$ qualified for a regional competition. Use your graph to estimate the number of women who qualified for this competition.

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