Question

If the variance of the data 2, 4, 5, 6, 8, 17 is 23.33, then the variance of 4, 8, 10, 12, 13, 34 is _____________________.

Answer 1

Given ; Variance of 2, 4, 5, 6, 8, 17 is 23.33 = var(X)(say)
Using result ;
If variance of x₁, x₂,........, x_n is var(X)
Then variance of ax₁, ax₂,........., ax_n is a² var(X)
Then variance of 4, 8, 10, 12, 16, 32
i.e 2(2), 2(4), 2(5), 2(6), 2(8), 2(17)
is (2)² var(X)
= 2² × 23.33
= 4 × 23.33 = 93.32