If the variance of 14, 18, 22, 26, 30 is 32, then the variance of 28, 36,44,52,60 is

Two data sets are given.

Set A : 14, 18, 22, 26, 30 with V = 32

Set B : 28, 36, 44, 52, 60 with V = ?

We notice that each data entry in set B is twice the corresponding data entry in set A.

SD of set B = 2 × SD of set A.

We know that Variance = SD²

Variance of Set B = 2² × Variance of Set A.

= 4 × 32 = 128.

So the correct option is B.