Question

Variance of the data 2, 4, 5, 6, 8,17 is 23.33. The variance of 4, 8, 10, 12, 16, 34 will be
(a) 23.33
(b) 25.33
(c) 46.66
(d) 93.32

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

Hence, the correct answer is option D.