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The mean and S.D of 1, 2, 3, 4, 5, 6 is...

The mean and S.D of `1, 2, 3, 4, 5, 6` is

A

`(7)/(2),sqrt((35)/(2))`

B

`3,3`

C

`(7)/(2),sqrt(3)`

D

`3,(35)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
A
Mean`overline(x)=(1+2+3+4+5+6)/(6)=(21)/(6)=(7)/(2)`
`SD=sigma=sqrt((1)/(n)sum_(1)^(2)-(overline(x))^(2))`
`=sqrt((1)/(6)(1+4+9+16+25+36)-(49)/(4))`
`=sqrt((91)/(6)-(49)/(4))=sqrt((182-147)/(12))=sqrt((35)/(12))`
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