Higher June 2022 Paper 3 Q14

AQACurrent spec4 marksBox Plots

14 Students in two classes, A and B, raised money for charity.

The box plot for class A is shown on the grid.

Grid with Amount raised (£) from 0 to 30 on the horizontal axis and rows for Class A and Class B. Class A box plot: lowest 5, lower quartile 9, median 12, upper quartile 17, highest 23. The Class B row is empty.

For class B,

  • the lowest amount was £3 and the highest amount was £26
  • the lower quartile was £11
  • the median was £2 greater than the class A median
  • the interquartile range was \(1\dfrac{1}{2}\) times greater than the class A interquartile range.

Draw the box plot for class B on the grid. [4 marks]

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