CAIE S1 2021 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
TopicMeasures of Location and Spread
TypeConstruct back-to-back stem-and-leaf from raw data

2 Lakeview and Riverside are two schools. The pupils at both schools took part in a competition to see how far they could throw a ball. The distances thrown, to the nearest metre, by 11 pupils from each school are shown in the following table.
Lakeview1014192226272830323341
Riverside2336211837251820243025
  1. Draw a back-to-back stem-and-leaf diagram to represent this information, with Lakeview on the left-hand side.
  2. Find the interquartile range of the distances thrown by the 11 pupils at Lakeview school.