Mathematics · Statistics - Properties of Standard Deviation
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). If X is a given series of observations, and a and b are any two constants, then with regard to Standard Deviation (SD): Assertion (A): SD(X + a) = SD(X - b) = SD(X) and SD(aX) = a2 · SD(X) Reason (R): SD is independent of change of origin, but not of scale. In the light of the above statements, choose the most appropriate answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both (A) and (R) are correct and (R) is the correct explanation of (A)
- 2Both (A) and (R) are correct but (R) is not the correct explanation of (A)
- 3(A) is correct but (R) is not correct
- 4(A) is not correct but (R) is correct✓
Correct answer
(A) is not correct but (R) is correct
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