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If sum(i=1)^(15)x(i)=45,A=sum(i=1)^(15)(...

If `sum_(i=1)^(15)x_(i)=45,A=sum_(i=1)^(15)(x_(i)-2)^(2)`, `B=sum_(i=1)^(15)(x_(i)-3)^(2)` and `C=sum_(i=1)^(15)(x_(i)-5)^(2)` then Statement 1: `min(A,B,C)=A` Statement 2: The sum of squares of deviations is least when taken from man.

A

Statement 1: is True, Statement 2 is True , Statement 2 is a correct explanation for statement 1

B

Statement 1 is True, Statement 2 is True Statement 2 is NOT a correct explanation for Statement 1

C

Statement 1 is True, Statement 2 is False

D

Statement 1 is False, Statement 2 is True

Text Solution

Verified by Experts

The correct Answer is:
D
`sum_(i=1)^(n)(x_(i)-barx)^(2)`
`implies "min" (A,B,C)=B`
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