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Let the six numbers `a_(1),a_(2),a_(3),a_(4),a_(5)a_(5)` be in A.P.and `a_(1)+a_(3)=10`.If the mean of these six numbers is `(19)/(2)` and their variance is `c^(2)`,then `8c^(2)` is equal to

A

`(pi)/(2)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(3 pi)/(4)`

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