CAIE S1 2020 June — Question 6 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
Marks3
TopicMeasures of Location and Spread
TypeConstruct back-to-back stem-and-leaf from raw data

6 The annual salaries, in thousands of dollars, for 11 employees at each of two companies \(A\) and \(B\) are shown below.
Company \(A\)3032354141424749525364
Company \(B\)2647305241383542493142
  1. Represent the data by drawing a back-to-back stem-and-leaf diagram with company \(A\) on the left-hand side of the diagram.
  2. Find the median and the interquartile range of the salaries of the employees in company \(A\). [3]
    A new employee joins company \(B\). The mean salary of the 12 employees is now \(
    ) 38500$.
  3. Find the salary of the new employee.