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Q.

The variance of first 50 even natural numbers is


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a

Question Image

b

  833

c

  437

d

Question Image 

answer is B.

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Detailed Solution

Step 1:- Use the mean formula and find the mean.
⇒ Question Image⇒ n = 50, Question Image = 2 + 4 + 6 + 8 +…+...+
We know that,
⇒ Question Image⇒ Question Image = Question Image⇒ Question Image   Question Image⇒ Question Image = 51
Step 2:- Put the values in variance formula
⇒ Question Image⇒ Question Image⇒ Question Image⇒ Question Image…(i)
But,
⇒ Question Image⇒ Question Image⇒ Question ImageEquation (i) became,
Question Image=34 × 101 – 2601
= 3434 – 2601
= 833
 
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