Question

If the variance of x₁, x₂, x₃, ... , x_n is 49, then the S.D. of x₁ + 7, x₂ + 7, x₃ + 7, ... , x_n + 7, is ______ 

पर्याय

• 49

• 7

• 14

• 56

Answer 1

If the variance of x₁, x₂, x₃, ... , x_n is 49, then the S.D. of x₁ + 7, x₂ + 7, x₃ + 7, ... , x_n + 7, is 7.

Explanation:

As variance is independent of change of origin, variance of x₁ + 7, x₂ + 7, x₃ + 7, ... , x_n + 7 is also 49.

So, their S.D. is 7.