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Question

In a series of 2n observations, half of them equal a and remaining half equal  -a. If the S.D of the observations is 2 then |a| =___
  1. 1n
  2. 2
  3. 2n
  4. 2


Solution

The correct option is D 2
Meanμ=0
SD=σ=(xμ)22n(a0)2+(a0)2++(a0)22n=2
a2.2n2n=2|a|=2

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