CAIE S1 2014 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionNovember
TopicData representation
TypeCompare distributions using stem-and-leaf

4 The following back-to-back stem-and-leaf diagram shows the times to load an application on 61 smartphones of type \(A\) and 43 smartphones of type \(B\).
(7)
Type \(A\)Type \(B\)
976643321358
55442223044566667889
998887664322040112368899
655432110525669
973061389
874410757
766653321081244
86555906
Key: 3 | 2 | 1 means 0.23 seconds for type \(A\) and 0.21 seconds for type \(B\).
  1. Find the median and quartiles for smartphones of type \(A\). You are given that the median, lower quartile and upper quartile for smartphones of type \(B\) are 0.46 seconds, 0.36 seconds and 0.63 seconds respectively.
  2. Represent the data by drawing a pair of box-and-whisker plots in a single diagram on graph paper.
  3. Compare the loading times for these two types of smartphone.