Exam-Style Problem

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Nov 2015 p62 q5
2368

The weights, in kilograms, of the 15 rugby players in each of two teams, A and B, are shown below.

Team A 97 98 104 84 100 109 115 99 122 82 116 96 84 107 91
Team B 75 79 94 101 96 77 111 108 83 84 86 115 82 113 95
  1. Represent the data by drawing a back-to-back stem-and-leaf diagram with team A on the left-hand 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 \(93.9\ \text{kg}\). Find the weight of the new player.
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