If the standard deviation of the numbers -1 ,0, 1 ,k is 5 where k0, then k is equal to

Question

If the standard deviation of the numbers -1 ,0, 1 ,k is 5 where k>0, then k is equal to

Accepted Answer

Correct answer: D. (d) : We know that, S.D. = x_i^2n- ( x_in )^2 ⇒5= ( (-1 )^2+0^2+ (1 )^2+k^24 )- ( -1+0+1+k4 )^2 ⇒5= k^2+24- k^216 ⇒80=4k^2+8-k^2 ⇒k^2=24 ⇒ k=2 6 ( ∵k>0 )

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

Solution

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