CAIE S1 2021 June — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionJune
TopicData representation
TypeState advantages of diagram types

7 The heights, in cm, of the 11 basketball players in each of two clubs, the Amazons and the Giants, are shown below.
Amazons205198181182190215201178202196184
Giants175182184187189192193195195195204
  1. State an advantage of using a stem-and-leaf diagram compared to a box-and-whisker plot to illustrate this information.
  2. Represent the data by drawing a back-to-back stem-and-leaf diagram with Amazons on the left-hand side of the diagram.
  3. Find the interquartile range of the heights of the players in the Amazons.
    Four new players join the Amazons. The mean height of the 15 players in the Amazons in now 191.2 cm . The heights of three of the new players are \(180 \mathrm {~cm} , 185 \mathrm {~cm}\) and 190 cm .
  4. Find the height of the fourth new player.
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.