Mathematics · Statistics
Consider two datasets: A = {x1, x2, ..., xn} and B = {λx1, λx2, ..., λxn}, where xi are independent random variables and λ is a positive constant. If rA = σA / ⟨A⟩ and rB = σB / ⟨B⟩ represent the ratio of the standard deviation to the average value for datasets A and B respectively, then how are rA and rB related?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1rB = rA × √λ
- 2rB = rA × λ
- 3rB = rA / λ
- 4rB = rA✓
Correct answer
rB = rA
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