CAIE S1 2002 November — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2002
SessionNovember
TopicMeasures of Location and Spread
TypeInterpret or analyse given back-to-back stem-and-leaf

7 The weights in kilograms of two groups of 17-year-old males from country \(P\) and country \(Q\) are displayed in the following back-to-back stem-and-leaf diagram. In the third row of the diagram, ... \(4 | 7 | 1 \ldots\) denotes weights of 74 kg for a male in country \(P\) and 71 kg for a male in country \(Q\).
Country \(P\)Country \(Q\)
515
62348
9876471345677889
88665382367788
97765554290224
544311045
  1. Find the median and quartile weights for country \(Q\).
  2. You are given that the lower quartile, median and upper quartile for country \(P\) are 84,94 and 98 kg respectively. On a single diagram on graph paper, draw two box-and-whisker plots of the data.
  3. Make two comments on the weights of the two groups.