Lim grows tomatoes. The masses, m grams, of 200 of her tomatoes are recorded. The cumulative frequency table shows the results. [Figure 2.1] [Table: Mass (m grams) with categories m ≤ 80, m ≤ 100, m ≤ 110, m ≤ 120, m ≤ 130, m ≤ 140, m ≤ 160. Cumulative frequency with values 0, 20, 48, 112, 158, 184, 200.]

1. (a)On the grid, draw a cumulative frequency diagram to represent these results.[2]
2. (b)(i)Use your diagram to estimate (i) the median,[1]
3. (b)(ii)the interquartile range.[2]
4. (c)Ravi also grows tomatoes. The masses of 200 of his tomatoes are also recorded. For Ravi’s tomatoes, the median mass was 124g and the interquartile range of the masses was 12g. Make two comments comparing the masses of tomatoes grown by Lim with those grown by Ravi.[2]
5. (d)(i)Complete the frequency table for the masses of tomatoes grown by Lim. [Table: Mass (m grams) with categories 80 < m ≤ 100, 100 < m ≤ 110, 110 < m ≤ 120, 120 < m ≤ 130, 130 < m ≤ 140, 140 < m ≤ 160. Frequency with values 20, 28, 64, missing, missing, 16.][1]
6. (d)(ii)Write down the modal class.[1]
7. (d)(iii)Calculate an estimate for the mean mass of these tomatoes.[3]

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