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): and .
Reason (R): SD is independent of change of origin, but not of scale.
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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. (A) Both (A) and (R) are correct and (R) is the correct explanation of (A) (B) Both (A) and (R) are correct but (R) is not the correct explanation of (A) (C) (A) is correct but (R) is not correct (D) (A) is not correct but (R) is correct
Also written as: 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) = a^2 * SD(X). Reason (R): SD is independent of change of origin, but not of scale.
Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.
This question is on Measures of dispersion, part of Descriptive statistics and dispersion in Statistics.
How spread out data are: range, variance, standard deviation and relative measures.
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Question from the UGC-NET 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.