CAIE S1 2024 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicData representation
TypeDraw back-to-back stem-and-leaf diagram

4 The times taken, in seconds, by 15 members of each of two swimming clubs, the Penguins and the Dolphins, to swim 50 metres are shown in the following table.
Penguins353942444545485056585961666872
Dolphins364143484949505154565660616471
  1. Draw a back-to-back stem-and-leaf diagram to represent this information, with Penguins on the left-hand side.
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-09_2720_33_141_20} The diagram shows a box-and-whisker plot representing the times for the Penguins.
  2. On the same diagram, draw a box-and-whisker plot to represent the times for the Dolphins.
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-09_719_1219_424_424}
  3. Hence state one difference between the distributions of the times for the Penguins and the Dolphins.