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If sum(i=1)^(n) x(i)^(2) =300 and sum(i=...

If `sum_(i=1)^(n) x_(i)^(2) =300 and sum_(i=1)^(n) x_(i) =50` then possible value of n is :

A

4

B

6

C

7

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
`sigma^(2) = (sumx_(i)^(2))/(n)-((sumx_(i))/(n))^(2)`
`=(300)/n -((50)/(n))^(2)=100/(n^2)(3n-25) gt C`
`implies n gt 25/3`.
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