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Question
If the variance of x1, x2, x3, ... , xn is 49, then the S.D. of x1 + 7, x2 + 7, x3 + 7, ... , xn + 7, is ______
Options
49
7
14
56
MCQ
Fill in the Blanks
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Solution
If the variance of x1, x2, x3, ... , xn is 49, then the S.D. of x1 + 7, x2 + 7, x3 + 7, ... , xn + 7, is 7.
Explanation:
As variance is independent of change of origin, variance of x1 + 7, x2 + 7, x3 + 7, ... , xn + 7 is also 49.
So, their S.D. is 7.
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Change of Origin and Scale of Variance and Standard Deviation
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