Past Paper Example 1
GCSE Nov 2019 2H Q11
3 marks
Megan grows potatoes.
The box plot below shows information about the weights of Megan's potatoes.
The box plot below shows information about the weights of Megan's potatoes.
(a) Is Megan correct?
Give a reason for your answer. [1 mark]
Give a reason for your answer. [1 mark]
(b) Compare the distribution of the weights of Megan's potatoes with the distribution of the weights of Amy's potatoes. [2 marks]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Megan: median = 57, IQR = 65 – 39 = 26, range = 72 – 23 = 49 C1
Answer (a): No, because the median weight is 57 grams (so half weigh less than 57 g, not 50 g)
Part (b) Solution:
Amy: median = 42, IQR = 51 – 35 = 16, range = 70 – 23 = 47. M1 C1
Answer (b): 1. The median weight of Megan's potatoes (57 g) is greater than the median weight of Amy's potatoes (42 g). 2. The interquartile range of Megan's potatoes (26 g) is greater than the IQR of Amy's potatoes (16 g) (or range 49 g vs 47 g).