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Which one of the following measures of variation is independent of 'change of origin' as well as…

None of the given options is correct: range, quartile deviation and mean deviation all change with scale. If every observation is transformed to \(Y=a+bX\), each of these…

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Which one of the following measures of variation is independent of 'change of origin' as well as 'change in scale' ?

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Answer and explanation

Correct answer D

None of the given options is correct: range, quartile deviation and mean deviation all change with scale. If every observation is transformed to Y=a+bXY=a+bX, each of these dispersion measures is multiplied by ∣b∣|b|; adding aa alone leaves them unchanged.

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  • Gujarat SET (GSET)

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