If the sum of squares of the deviations from the mean of the data x_i,(i=1,2, , n) is n^2 , where x is the mean of x₁ 's, then the sum of squares of x_i 's is

Step-by-step solution

Given, Sum of squares of deviations from the mean of data x_i=n x ^2 aligned & _ i=1 ^n (x_i- x )^2=n x ^2 & _ i=1 ^n x_i^2+n x ^2-2 x _ i=1 ^n x_i=n x ^2 & _ i=1 ^n x_i^2-2 x n x =0 x = x_i n & _ i=1 ^n x_i^2=2 n x ^2 aligned