MHT CET202312 May 2023Evening ShiftMathematicsStatisticsActual

For 20 observations of variable x , if (x_ i -2 )=20 and (x_ i -2 )^2=100 , then the standard deviation of variable x is

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Correct answer

A. 2

Step-by-step solution

Note that standard derivation is independent of change of origin. S.D. of x_ i = S.D. of (x_ i -2 ) aligned S.D. of (x_ i -2 ) & = 1 n _ i ²⁰ (x_ i -2 )^2- [ (x_ i -2 ) n ]^2 & = 100 20 -(1)^2 & =2 Required S.D & =2 aligned

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