CAIE S1 2024 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
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 annual salaries of 19 employees at each of two companies, Petral and Ravon.
PetralRavon
\multirow{7}{*}{99}3003026
82213115
554032002
753330489
103411346
353
83679
Key: 2 | 31 | 5 means \\(31 200 for a Petral employee and
)31500 for a Ravon employee.
  1. Find the median and the interquartile range of the salaries of the Petral employees.
    The median salary of the Ravon employees is \(
    ) 33800\(, the lower quartile is \)\\( 32000\) and the upper quartile is \(
    ) 34400$.
  2. Represent the data shown in the back-to-back stem-and-leaf diagram by a pair of box-and-whisker plots in a single diagram.
    \includegraphics[max width=\textwidth, alt={}, center]{f979a442-da05-410b-84dc-3da3286514a0-07_707_1395_477_335}
  3. Comment on whether the mean or the median would be a better representation of the data for the employees at Petral.