Exam-Style Problem
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June 2021 p53 q3
2450
A sports club has a volleyball team and a hockey team. The heights of the 6 members of the volleyball team are summarised by \(\Sigma x = 1050\) and \(\Sigma x^2 = 193700\), where \(x\) is the height of a member in cm. The heights of the 11 members of the hockey team are summarised by \(\Sigma y = 1991\) and \(\Sigma y^2 = 366400\), where \(y\) is the height of a member in cm.
(a) Find the mean height of all 17 members of the club.
(b) Find the standard deviation of the heights of all 17 members of the club.
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