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The outcome of each of 30 items was observed , 10 items gave an outcome `(1)/(2)-d` each, 10 items gave outcome `(1)/(2)` each and the remaining 10 items gave outcome `(1)/(2) +d` each. If the variance of this outcome data is `(4)/(3)`, then |d| equals

A

2

B

`(sqrt(5))/(2)`

C

`(2)/(3)`

D

`sqrt(2)`

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The correct Answer is:
D
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