If the standard deviation of the numbers $-1, 0, 1, k$ is $\sqrt{5}$ where $k > 0,$ then $k$ is equal to

  • A
    $4\sqrt{\frac{5}{3}}$
  • B
    $\sqrt{6}$
  • C
    $2\sqrt{6}$
  • D
    $2\sqrt{\frac{10}{3}}$

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