Given a set of data x1, X2 The variance of x 10 is s ^ 2 = 6, find another set of data 1 / 3x1,1 / 3x2 What is the variance of 1 / 3x10? That's x, subscript 1, and so on

Given a set of data x1, X2 The variance of x 10 is s ^ 2 = 6, find another set of data 1 / 3x1,1 / 3x2 What is the variance of 1 / 3x10? That's x, subscript 1, and so on

1 / 3 is a coefficient multiplied by the original data. It is a square relation when calculating the variance, so the coefficient 1 / 3 should be squared after it is put out, that is, 1 / 9, which is the variance of the original data, so the variance of the new data is (1 / 9) * 6 = 2 / 3