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KCET2022MathematicsStatistics

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

Options

  1. A4 5 3
  2. B6
  3. C2 10 3
  4. D2 6

Correct answer

D. 2 6

Step-by-step solution

Given, numbers are -1,0,1, k . Standard deviation, = 5 ^2= x_i^2 n - ( x_i n )^2 aligned & 5= 1+0+1+k^2 4 - ( -1+0+1+k 4 )^2 & 5= 2+k^2 4 - k^2 16 80=8+4 k^2-k^2 & 72=3 k^2 k^2=24 k=2 6 . aligned

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