CAIE S1 2015 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionNovember
TopicMeasures of Location and Spread
TypeConstruct back-to-back stem-and-leaf from raw data

5 The weights, in kilograms, of the 15 rugby players in each of two teams, \(A\) and \(B\), are shown below.
Team \(A\)9798104841001091159912282116968410791
Team \(B\)75799410196771111088384861158211395
  1. Represent the data by drawing a back-to-back stem-and-leaf diagram with team \(A\) on the lefthand side of the diagram and team \(B\) on the right-hand side.
  2. Find the interquartile range of the weights of the players in team \(A\).
  3. A new player joins team \(B\) as a substitute. The mean weight of the 16 players in team \(B\) is now 93.9 kg . Find the weight of the new player.