Question 5 The cumulative frequency ogive below shows the time taken, to the nearest minute, for group of runners to complete a race. 60 40 50 60 70 80 90 30 Time taken in minutes 10 20 40 Use the ogive above to find: a) The number of runners who took part in the race. b) An estimate of the percentage of runners who completed the race in more thar one hour. c) An estimate of the median time and the upper and lower quartiles. Cumulative frequency 20

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Question 5
The cumulative frequency ogive below shows the time taken, to the nearest minute, for a
group of runners to complete a race.
60
40
20
10
20 30
40
50
60
70
80
90
Time taken in minutes
Use the ogive above to find:
a) The number of runners who took part in the race.
b) An estimate of the percentage of runners who completed the race in more than
one hour.
c) An estimate of the median time and the upper and lower quartiles.
You are given the following additional information;
minimum time 29 minutes
maximum time =
82 minutes
d) Draw a fully labelled box-plot to represent the distribution of race times.
Cumulative frequency
Transcribed Image Text:Question 5 The cumulative frequency ogive below shows the time taken, to the nearest minute, for a group of runners to complete a race. 60 40 20 10 20 30 40 50 60 70 80 90 Time taken in minutes Use the ogive above to find: a) The number of runners who took part in the race. b) An estimate of the percentage of runners who completed the race in more than one hour. c) An estimate of the median time and the upper and lower quartiles. You are given the following additional information; minimum time 29 minutes maximum time = 82 minutes d) Draw a fully labelled box-plot to represent the distribution of race times. Cumulative frequency
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