CAIE S1 2018 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionNovember
TopicMeasures of Location and Spread
TypeStandard combined mean and SD

5 The Quivers Archery club has 12 Junior members and 20 Senior members. For the Junior members, the mean age is 15.5 years and the standard deviation of the ages is 1.2 years. The ages of the Senior members are summarised by \(\Sigma y = 910\) and \(\Sigma y ^ { 2 } = 42850\), where \(y\) is the age of a Senior member in years.
  1. Find the mean age of all 32 members of the club.
  2. Find the standard deviation of the ages of all 32 members of the club.