Standard Deviation of n observations \(\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3} \ldots . \mathrm{a}_{\mathrm{n}}\) is \(\sigma .\) Then the standard deviation of the observations \(\lambda \mathrm{a}_{1}, \lambda \mathrm{a}_{2}, \ldots \lambda \mathrm{a}_{n}\)

Question

Standard Deviation of n observations \(a_{1}, a_{2}, a_{3} \ldots . a_{n}\) is \(\sigma\). Then the standard deviation of the observations \(\lambda a_{1}, \lambda a_{2}, \ldots \lambda a_{n}\) is
(A) \(\lambda \sigma\)
(B) \(-\lambda \sigma\)
(C) \(|\lambda| \sigma\)
(D) \(\lambda^{n} \sigma\)

Answer 1

Correct answer is  (C)

Answer 2

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