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, Var(Y)=Var(X)σX=σY

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

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