The histogram represents the distribution of the masses, in grams, of individual appre This information is summarised in the table below. Mass (mg): 80 < m ≤ 90, Frequency: 5 Mass (mg): 90 < m ≤ 95, Frequency: 8 Mass (mg): 95 < m ≤ 100, Frequency: p Mass (mg): 100 < m ≤ 102.5, Frequency: q Mass (mg): 102.5 < m ≤ 105, Frequency: 20 Mass (mg): 105 < m ≤ 110, Frequency: 23 Mass (mg): 110 < m ≤ 120, Frequency: 10

1. (a)Calculate p and q.[2]
2. (b)(i)The mass of each plum in a box is recorded correct to the nearest 5 grams. Mass (to the nearest 5 g): 10-15, Frequency: 6 Mass (to the nearest 5 g): 20-25, Frequency: 18 Mass (to the nearest 5 g): 30-35, Frequency: 25 Mass (to the nearest 5 g): 40-45, Frequency: 10 Mass (to the nearest 5 g): 50-55, Frequency: 1 Calculate an estimate of the mean mass of a plum.[3]
3. (b)(ii)Calculate the upper bound for the total mass of plums in the box.[2]

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