Q39 / 77 · NTA Abhyas (JEE Main) 2020 · Mathematics · Statistics

If the variance of the first 50 odd natural numbers is V1 and the variance of next 50 odd natural numbers is V2, then V1+V2 is equal to

Correct answer: 1666

Solution

Note that V1=V2 (Variance is independent of shifting of orgin)
Now V1=12+32+…+99250-1+3+..+99502
=15050×101×993-2500
=3333-2500=833
Hence, V1+V2=1666

Hence, the correct answer is 1666.

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