Higher November 2018 Paper 4 Q15

OCRHigherCurrent spec4 marksAverages (including IQR)Box Plots

15 The box plot shows the distribution of the runs scored by David in some cricket matches.

Box plot for David on a scale of number of runs from 0 to 40: minimum 2, lower quartile 12, median 16, upper quartile 21, maximum 33; an empty row for Peter below
(a) Another player, Peter, has
  • a median score of 26
  • a highest score of 39
  • a lowest score of 8
  • a lower quartile of 14
  • an inter-quartile range of 18.

Show the distribution of Peter’s scores as a box plot on the diagram above. [2]

(b) Decide whether David or Peter best satisfies each of these questions.
Give a reason for each of your decisions.
(i) Who scored more runs on average? [1]
(ii) Whose scores were more consistent? [1]