Higher January 2020 Paper 1 Q12

EdexcelHigherCurrent spec5 marksCumulative Frequency

12 A total of 80 men and women took part in a race.
The cumulative frequency graph gives information about the times, in minutes, they took for the race.

Cumulative frequency graph: time in minutes from 20 to 70 on the horizontal axis, cumulative frequency from 0 to 80 on the vertical axis; an S-shaped curve rising from (20, 0) to (70, 80)
(a) Use the graph to find an estimate for the interquartile range. (2)

60% of the men took 50 minutes or less for the race.
No women took 50 minutes or less for the race.

(b) Work out an estimate for the number of men who took part in the race. (3)