2026 CCHMS P2 Q4

A fruit wholesaler collects information about the masses of pears supplied by Farm A and Farm B.

The stem-and-leaf diagram shows the masses of a sample of 20 pears from Farm A.

Key: \(15\mid8\) means 158 grams.

Find

1. the median,[1]
2. the interquartile range.[2]

The box-and-whisker diagram shows the masses of 20 pears sampled from Farm B.

3. The fruit wholesaler examines the box-and-whisker diagram and comments:
   “A higher proportion of Farm B’s pears are heavier, since its right whisker is longer than its left whisker”.
   Comment on whether the wholesaler’s comment is correct.[2]
4. Recommend which farm the wholesaler should purchase from. Explain and justify your choice with reference to appropriate statistical measures.[3]