If the standard deviation of the numbers \( -1,0,1, k \) is \( \mat...

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If the standard deviation of the numbers \( -1,0,1, k \) is
\( \mathrm{P} \) \( \sqrt{5} \) where \( k0 \), then \( k \) is equal to

W
(1) \( 2 \sqrt{\frac{10}{3}} \)
(2) \( 2 \sqrt{6} \)
(3) \( 4 \sqrt{\frac{5}{3}} \)
(4) \( \sqrt{6} \)
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