We know that the average of the sum of squares of a group of data is 228, and the average is 15. We can find the variance of this group of data

We know that the average of the sum of squares of a group of data is 228, and the average is 15. We can find the variance of this group of data

Suppose: there are n numbers in this group of data, denoted as x1, X2, X3 From the title, we know that ∑ (XI) & sup2; = 228n, ∑ (XI) = 15N, and the variance ∑ & sup2; = ∑ (xi-15) & sup2 / / N = [∑ (XI) & sup2; - 30 ∑ (XI) + 15 & sup2; ∑ 1] / N = [228n-30 * 15N + 15 & sup2; * n] / N = 3 (above, I in ∑ satisfies I = 1,2,3