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.