A set of n values x1- x2- - xn has standard deviation - The standard deviation of n values x1-k- x2-k- - xn-k will beab -kc -kd k-

Given set of n observations x1, x2,....., xn has standard deviation nbsp; sigma;. i.e x1, x2,........., xn has variance = nbsp; sigma;2 i.e x1 + k, x2 + ...

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Byju's Answer

Standard XI

Statistics

Mean Deviation

A set of n va...

Question

A set of n values x₁, x₂, ...., x_n has standard deviation σ. The standard deviation of n values x₁+ k, x₂+ k,..., x_n+ k will be
(a) σ
(b) σ + k
(c) σ – k
(d) k^σ

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Solution

Given set of n observations x₁, x₂,....., x_n has standard deviation σ.
i.e x₁, x₂,........., x_n has variance = σ²
i.e x₁ + k, x₂ + k₁,......... x_n + k has same variance σ²
Hence standard deviation of x₁ + k, x₂ + k₁,,........, x_n + k is σ.

Hence, the correct answer is option A.

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