The cumulative frequency diagram shows the masses, in grams, of 60 potatoes of variety A.

1. (a)(i)(a)Use the diagram to estimate the median,[1]
2. (a)(i)(b)the interquartile range.[2]
3. (a)(ii)Potatoes with a mass greater than 220 g are sold as baking potatoes. Find the percentage of the potatoes that are sold as baking potatoes.[3]
4. (a)(iii)The masses of 60 potatoes of variety B are also measured. For variety B, the median is 175 g and the interquartile range is 30 g. Kali wants to buy potatoes that are more consistent in mass. Should she choose variety A or variety B? Explain how you decide.[1]
5. (b)The table shows the masses, m grams, of 120 potatoes of variety C. Mass (m g) | 80 ≤ m < 100 | 100 ≤ m < 120 | 120 ≤ m < 130 | 130 ≤ m < 140 | 140 ≤ m < 200 ----------|----------------|-----------------|-----------------|-----------------|------------------ Frequency | 10 | 15 | 42 | 36 | 17 Calculate an estimate of the mean mass.[3]
6. (c)A bag of potatoes has a mass of 2.5 kg, correct to the nearest 100 g. Bags of potatoes are packed into a box. The mass of the box is 600 g, correct to the nearest 10 g. Calculate the upper bound of the total mass, in kilograms, of a box containing 10 of these bags of potatoes.[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.