Solve 7th question Q7. The mean of n observations x 1 , x2,...... , x n is x . If each observation is decreased by P, then show that the mean of the new observations is x - p . Share with your friends Share 0 Sanjari Kalantri answered this Dear Student, We have: Mean = Sum of all observationsNumber of observations⇒ x = x1 + x2 + ... + xnn⇒ x1 + x2 + ... + xn = nx ...iNow, each observation is decreased by p.Thus, New sum of all observations = x1 - p + x2 - p + ... + xn - p = x1 + x2 + ... + xn - p + p + ... n times = nx - np [From i]Hence, New Mean = New sum of all observationsNumber of observations = nx - npn = nx - pn = x - p 0 View Full Answer
