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The outcome of each of 30 items was observed; 10 items gave an outcome −d each, 10 items gave outcome each and the remaining 10 items gave outcome +d each. If the variance of this outcome data is  then |d| equals

(a)

2     

(b)

   

(c)

(d)


Question ID - 56968 | Toppr Answer

The outcome of each of 30 items was observed; 10 items gave an outcome −d each, 10 items gave outcome each and the remaining 10 items gave outcome +d each. If the variance of this outcome data is  then |d| equals

(a)

2     

(b)

   

(c)

(d)

1 Answer - 5876 Votes

3537

Answer Key : (d) -

Variance is independent of origin. So we shift the given data by .

So, =

⇒d2=2⇒|d|=



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