CAIE S1 2023 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2023
SessionJune
TopicMeasures of Location and Spread
TypeInterpret or analyse given back-to-back stem-and-leaf

3 The following back-to-back stem-and-leaf diagram represents the monthly salaries, in dollars, of 27 employees at each of two companies, \(A\) and \(B\).
Company \(A\)Company \(B\)
\multirow{6}{*}{9}411025445667
72102601355799
4210271346688
54202801222
98529
1309
Key: 1 |27| 6 means \(
) 2710\( for company \)A\( and \)\\( 2760\) for company \(B\)
  1. Find the median and the interquartile range of the monthly salaries of employees in company \(A\).
    The lower quartile, median and upper quartile for company \(B\) are \(
    ) 2600 , \\( 2690\) and \(
    ) 2780\( respectively.
  2. Draw two box-and-whisker plots in a single diagram to represent the information for the salaries of employees at companies \)A\( and \)B$.
    \includegraphics[max width=\textwidth, alt={}, center]{f2666d82-4711-499a-98c0-3421e4c228fb-07_810_1406_573_411}
  3. Comment on whether the mean would be a more appropriate measure than the median for comparing the given information for the two companies.