1) The variance of first 50 even natural numbers is A) 8334 B) 833 C) 437 D) 4374 Answer: Option BExplanation:Here, ¯X=∑Xin =2+4+6+8+...+10050=50×5150=51 [ ∵∑2n=n(n+1), , here n=50] Variance , σ2=1n∑Xi2−(¯x)−2 σ2=150(22+42+....+1002)−(51)2=833