CAIE S1 2013 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
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 shows the annual salaries of a group of 39 females and 39 males.
FemalesMales
(4)\multirow{7}{*}{9}5200203
(9)8876400021007
(8)\multirow{5}{*}{}8753310022004566
(6)\multirow{4}{*}{}64210023002335677
(6)754000240112556889
(4)9500253457789
(2)5026046
Key: 2 | 20 | 3 means \\(20200 for females and
)20300 for males.
  1. Find the median and the quartiles of the females' salaries. You are given that the median salary of the males is \(
    ) 24000\(, the lower quartile is \)\\( 22600\) and the upper quartile is \(
    ) 25300$.
  2. Represent the data by means of a pair of box-and-whisker plots in a single diagram on graph paper.