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Question
A set of n values x1, x2, ...., xn has standard deviation σ. The standard deviation of n values x1 + k, x2 + k,..., xn + k will be
(a) σ
(b) σ + k
(c) σ – k
(d) kσ
(a) σ
(b) σ + k
(c) σ – k
(d) kσ
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Solution
Given set of n observations x1, x2,....., xn has standard deviation σ.
i.e x1, x2,........., xn has variance = σ2
i.e x1 + k, x2 + k1,......... xn + k has same variance σ2
Hence standard deviation of x1 + k, x2 + k1,,........, xn + k is σ.
Hence, the correct answer is option A.
i.e x1, x2,........., xn has variance = σ2
i.e x1 + k, x2 + k1,......... xn + k has same variance σ2
Hence standard deviation of x1 + k, x2 + k1,,........, xn + k is σ.
Hence, the correct answer is option A.
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