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MHT CET20244 May 2024Morning ShiftMathematicsStatisticsActual

The variance of first 50 even natural numbers is

Options

  1. A833
  2. B473
  3. C437 4
  4. D833 4

Correct answer

A. 833

Step-by-step solution

aligned & Variance = x_ i ^2 n -( x )^2 & = (2^2+4^2+ +100^2 ) 50 - ( 2+4+ +100 50 )^2 & = 4 (1^2+2^2+ .+50^2 ) 50 -(51)^2 & =4 ( 50 51 101 50 6 )-(51)^2 & =3434-2601 & =833 aligned

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