AQA AS Paper 2 2023 June — Question 19

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2023
SessionJune
TopicData representation
TypeCompare distributions using stem-and-leaf

19 A comparison of the masses (in kg ) of convertible cars was made using the Large Data Set. A sample of 20 masses was chosen from both the 2002 data and the 2016 data.
The masses of the 20 cars in each sample were used to create a box plot for each year. The box plots were labelled Box Plot A and Box Plot B as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{e3635007-2ad1-4b2a-b937-41fe90bb1111-28_1109_1660_751_191} 19
  1. Estimate the median of the masses from Box Plot A
    19
  2. It is claimed that Box Plot B must be incorrectly drawn.
    19
    1. Give a reason why this claim was made.
      19
  3. (ii) Comment on the validity of this claim.
    19
  4. It is claimed that Box Plot B must be from the 2002 data. Give a reason why this claim is correct.
    \includegraphics[max width=\textwidth, alt={}, center]{e3635007-2ad1-4b2a-b937-41fe90bb1111-30_2492_1721_217_150}