The table shows the age and value of 10 cars of the same model. Age (years) 3 3 4 4 5 5 5 6 8 8 Value () 5500 6200 4200 4000 4000 3700 4500 3000 1500 2000 [Figure showing a scatter diagram with x-axis 'Age (years)' from 0 to 12 and y-axis 'Value ()' from 0 to 7000. Six points are pre-plotted.]

1. (a)(i)Complete the scatter diagram. The first 6 points have been plotted for you.[2]
2. (a)(ii)Draw a line of best fit.[1]
3. (a)(iii)Use your line of best fit to find an estimate for the value of a car of this model that is 7 years old.[1]
4. (a)(iv)Jay has a car of this model that is 12 years old and he wants to find its value. Explain why Jay should not use this scatter diagram to find an estimate for the value of this car.[1]
5. (b)Jay records the distances travelled by 50 cars. The frequency table shows the results. Distance (d thousand km) 10 < d ≤ 40 40 < d ≤ 50 50 < d ≤ 60 60 < d ≤ 100 Frequency 8 14 11 17 (i) Work out the fraction of the cars that have travelled more than 50000 km. Give your answer in its simplest form.[1]
6. (b)(ii)Find the interval that contains the median.[1]
7. (b)(iii)Calculate an estimate of the mean distance travelled.[3]

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.