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

1. A
2. B
3. C
4. D

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### Solution:

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

Then, $\mathrm{Var}\left(Y\right)=\mathrm{Var}\left(X\right)⇒{\sigma }_{X}={\sigma }_{Y}$

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

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