CAIE S1 2016 November — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionNovember
TopicMeasures of Location and Spread
TypeConstruct back-to-back stem-and-leaf from raw data

7 The masses, in grams, of components made in factory \(A\) and components made in factory \(B\) are shown below.
Factory \(A\)0.0490.0500.0530.0540.0570.0580.058
0.0590.0610.0610.0610.0630.065
Factory \(B\)0.0310.0560.0490.0440.0380.0480.051
0.0640.0350.0420.0470.0540.058
  1. Draw a back-to-back stem-and-leaf diagram to represent the masses of components made in the two factories.
  2. Find the median and the interquartile range for the masses of components made in factory \(B\).
  3. Make two comparisons between the masses of components made in factory \(A\) and the masses of those made in factory \(B\).