(a) The table shows the distances 10 people drive to work and the times they take. Distance (km) 12 32 18 54 26 36 29 15 20 42 Time (minutes) 20 40 25 62 35 34 32 18 32 50

1. (a)(i)On the grid, complete the scatter diagram to show this information. The first four points have been plotted for you.[2]
2. (a)(ii)What type of correlation does the scatter diagram show?[1]
3. (a)(iii)One of these 10 people is selected at random. Find the probability that this person drove less than 30km to work. Give your answer as a fraction in its simplest form.[2]
4. (a)(iv)Ateeq drives 48 km to work. By drawing a line of best fit on the scatter diagram, estimate the time Ateeq takes to travel to work.[2]
5. (b)The table summarises the times taken by the 120 employees in a company to travel to work. Time (t minutes) 0 < t ≤ 20 20 < t ≤ 40 40 < t ≤ 60 60 < t ≤ 80 80 < t ≤ 100 Frequency 29 38 26 21 6
6. (b)(i)Write down the modal class.[1]
7. (b)(ii)Calculate an estimate of the mean time.[3]
8. (b)(iii)Work out the percentage of employees who took more than 1 hour to travel to work.[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.