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MHT CET202312 May 2023Morning ShiftMathematicsStatisticsActual

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

Options

  1. A2 10 3
  2. B2 6
  3. C4 5 3
  4. D6

Correct answer

B. 2 6

Step-by-step solution

array ll & Variance = 1 n _ i =1 ^ n x_i^2- x ^2 & Here, n =4 and variance =5 & 5= 1 4 [(-1)^2+(0)^2+(1)^2+ k ^2 ]- ( -1+0+1+ k 4 )^2 & 5= 2+ k ^2 4 - k ^2 16 & 80=8+4 k ^2- k ^2 & 3 k ^2=72 & k ^2=24 & k =2 6 [ k >0] array

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