CAIE S1 2012 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicMeasures of Location and Spread
TypeInterpret or analyse given back-to-back stem-and-leaf

4 The back-to-back stem-and-leaf diagram shows the values taken by two variables \(A\) and \(B\).
\(A\)\(B\)\multirow{3}{*}{(4)}
310151335
41162234457778
8331701333466799(11)
98865543211018247(3)
998865421915(2)
98710204(1)
Key: \(4 | 16 | 7\) means \(A = 0.164\) and \(B = 0.167\).
  1. Find the median and the interquartile range for variable \(A\).
  2. You are given that, for variable \(B\), the median is 0.171 , the upper quartile is 0.179 and the lower quartile is 0.164 . Draw box-and-whisker plots for \(A\) and \(B\) in a single diagram on graph paper.