In a distribution of 10 observation, the sum of the observations is 60 and sum of their squares is 1000 , then the variance is

Step-by-step solution

Given, n=10 , aligned & x_i=60 & x_i^2=1000 aligned Mean _ ( X ) = x_i n = 60 10 =6 Variance = (x_i- x )^2 n aligned & = x_i^2+ x ^2-2 x x_i n & = 1000 10 + 36 10 10 - 2 6 60 10 & =100+36-72 & =64 aligned