2026 SPS P2 Q4

The cumulative frequency curve shows the masses, in kilograms, of the 120 watermelons in a shipment delivered to a supermarket.

1. Use the graph to find
   1. the median,[1]
   2. the interquartile range.[2]
2. The supermarket can only sell watermelons with a mass between 3 kg and 6.5 kg. Watermelons with a mass outside this range are unpopular sizes and have to be sold at a discount.
   Find the percentage of the shipment that has to be sold at a discount.[3]
3. A second supplier delivers another shipment of watermelons. For this shipment, the smallest mass is 3 kg and the range is 4.5 kg. The lower quartile, median and upper quartile are 4 kg, 5 kg and 6.5 kg respectively.
   Draw a box-and-whisker diagram for this shipment on the scale below.[3]
4. Which shipment is more desirable for the supermarket? Justify your answer with reference to the acceptable range.[2]