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Megan grows potatoes - Edexcel - GCSE Maths - Question 12 - 2019 - Paper 2

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Megan grows potatoes. The box plot below shows information about the weights of Megan's potatoes. Megan says that half of her potatoes weigh less than 50 grams each... show full transcript

Worked Solution & Example Answer:Megan grows potatoes - Edexcel - GCSE Maths - Question 12 - 2019 - Paper 2

Step 1

a) Is Megan correct?

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Answer

No, Megan is not correct. The median weight of her potatoes, as indicated by the box plot, is 57 grams. This means that more than half of her potatoes weigh more than 50 grams, which contradicts her statement.

Step 2

b) Compare the distribution of the weights of Megan's potatoes with the distribution of Amy's potatoes.

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Answer

When comparing the two distributions:

  • Megan's potatoes have a median weight of 57 grams with an interquartile range (IQR) of 20 grams. This indicates that the weights are more concentrated around the median.
  • Amy's potatoes, on the other hand, have a median weight of 42 grams and an IQR of 18 grams, suggesting that her potatoes are distributed in a slightly wider range compared to Megan's.

Overall, the weights of Megan's potatoes are heavier and more tightly grouped, while Amy's potatoes are slightly lighter and more variable.

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