Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The times, measured in minutes, needed to finish a cycle race by 19 cyclists from each of two clubs, the Cheetahs and the Panthers, are shown in the back-to-back stem-and-leaf diagram below. Key: $7\,|\,9\,|\,1$ represents 97 minutes for Cheetahs and 91 minutes for Panthers.
(a)[3]
Find the median and the interquartile range of the Cheetahs’ times.
(b)[2]
For the Panthers, the median and interquartile range are 103 minutes and 14 minutes respectively. Make two comparisons between the times taken by the Cheetahs and the times taken by the Panthers.
(c)[3]
Kenny, another cyclist from the Cheetahs, also rode in the race. The mean time for the 20 Cheetahs was 99 minutes. Find Kenny’s time for completing the race.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Median correctly given as $99$ minutes.” …