In a series of $2n$ observations,half of the observations are equal to $a$ and the remaining are equal to $-a$. If the standard deviation of the observations is $2$,then what is the value of $|a|$?

  • A
    $2$
  • B
    $\sqrt{2}$
  • C
    $\frac{1}{n}$
  • D
    $\frac{\sqrt{2}}{n}$

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