The standard deviation of the numbers $31, 32, 33, \ldots, 46, 47$ is

  • A
    $\sqrt{\frac{17}{12}}$
  • B
    $\sqrt{\frac{47^{2}-1}{12}}$
  • C
    $2 \sqrt{6}$
  • D
    $4 \sqrt{3}$

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