Q. 45.0( 2 Votes )

The standard devi

Answer :

Let the observations be x1, x2, x3….x20

Given SD =

Formula for SD =

Where N = 20, SD =

If each observation is multiplied by 2, we get new set of observations.

Let the new observations be y1, y2, y3….y20

New Standard Deviation SD’ =

We know that and

But yi = 2xi


Substituting in the SD’ formula,

SD’ =


= 2 × SD = 2

Formula relating SD and Variance is Variance = SD2

So Variance = (22 = 20

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