The cumulative frequency graph for the lengths of the 50 tracks on Abi's MP3 player is shown below. [Figure 9]

1. (a)(i)Use the graph to find the median,[1]
2. (a)(ii)the interquartile range.[2]
3. (b)Use the information on the graph to complete the frequency table for the length of the tracks. Length (minutes : seconds) | Frequency 2:30 < length < 3:00 | 3 3:00 < length < 3:30 | 5 3:30 < length ≤ 4:00 | 4:00 < length < 4:30 | 4:30 < length < 5:00 | 5:00 < length < 5:30 | 5:30 < length < 6:00 | [2]
4. (c)Abi plays three tracks from her MP3 player with no break between them. Given that no track is repeated, what is the maximum possible length of time taken to play these tracks?[2]
5. (d)(i)Abi travels on a train from station A to station F. The exact times the train arrives at and leaves stations A to F are shown below. Station | A | B | C | D | E | F Arrive | - | 1003 | 1006 | 1011 | 1015 | 1021 Depart | 0958 | 1004 | 1007 | 1012 | 1016 | - How many minutes did her journey take?[1]
6. (d)(ii)Abi starts playing tracks at random from her MP3 player as she leaves station A. What is the probability that the first track is still playing when she arrives at station B?[2]
7. (e)Abi plays two different tracks at random from her MP3 player. What is the probability that neither track is longer than 3 minutes 30 seconds?[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.