Q.

The variance of first 50 even natural number is

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a

8334

b

833

c

437

d

4374

answer is B.

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Detailed Solution

Mean x¯ of first 50 even natural numbers =2+4+6............+10050                                                                        =12(2+100)=51 Variance σ2=∑xi2n-(x¯)2=22+42+62+………..+100250-(51)2                                               =412+22+32+……+50250-(51)2                                                =3434−2601=833
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