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If bar(X) is arithmetic mean of x(1), x(...

If `bar(X)` is arithmetic mean of `x_(1), x_(2), … x_(n) and a ne bar(X)` is any number, then :

A

`underset(i = 1)overset(n)sum (x_(i) - bar(X))^(2) gt underset(i = 1)overset(n)sum (x_(i) - a)^(2)`

B

`underset(i = 1)overset(n)sum (x_(i) - bar(X))^(2) = underset(i = 1)overset(n)sum (x_(i) - a)^(2)`

C

`underset(i = 1)overset(n)sum (x_(i) - bar(X))^(2) lt underset(i = 1)overset(n)sum (x_(i) - a)^(2)`

D

Either relation can be true depending upon the value of a

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The correct Answer is:
D
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