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Question: Answered & Verified by Expert
Let $\mathrm{x}_1, \mathrm{x}_2, \mathrm{x}_3, \mathrm{x}_4$ and $\mathrm{x}_5$ be the observations with mean $\mathrm{m}$ and standard deviations. Then, standard deviation of the observations $\mathrm{kx}_1, \mathrm{kx}_2, \mathrm{kx}_3, \mathrm{kx}_4$ and $\mathrm{kx}_5$ is
MathematicsStatistics
Options:
  • A
    $\mathrm{k}+\mathrm{s}$
  • B
    $\mathrm{s} / \mathrm{k}$
  • C
    $\mathrm{ks}$
  • D
    $\mathrm{s}$
Solution:
1598 Upvotes Verified Answer
The correct answer is:
$\mathrm{ks}$
Standard deviation is dependent on change of scale. Therefore, the standard deviation of $\mathrm{kx}_1, \mathrm{kx}_2, \mathrm{kx}_3, \mathrm{kx}_4, \mathrm{kx}_5$ is $\mathrm{ks}$.

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