The standard deviation of a data is 6, when each observation is increased by 1, then the S.D. of the new data is

The standard deviation of a data is 6, when each observation is increased by 1, then the S.D. of the new data is

A
B
C
D

Solution:

We know that X and Y are two variables such that Y = X + b, where b is a constant.

Then, $Var (Y) = Var (X) \Rightarrow σ_{X} = σ_{Y}$

Thus, the standard deviation of the new data is also 6

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