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1)

 The variance of first 50 even natural numbers is 


A) 8334

B) 833

C) 437

D) 4374

Answer:

Option B

Explanation:

Here,   ¯X=Xin

                       =2+4+6+8+...+10050=50×5150=51

                                                      [ 2n=n(n+1),  , here n=50]

 Variance  ,    σ2=1nXi2(¯x)2

   σ2=150(22+42+....+1002)(51)2=833