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Introduction to statistics

Question

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

Moderate
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)σX=σY

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



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Similar Questions

For (2n + 1) observations x1,x1,x2,x2,,xn,xn, and 0, where all x's are distinct, let SD and MD denote the standard deviation and median, respectively. Then which of the following is always true?


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