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Find The standard deviation of the follo...

Find The standard deviation of the following frequency distribution is
`{:(X,2,3,4,5,6,7),(f,4,9,16,14,11,6):}`

A

1.38

B

1.42

C

1.45

D

`1.60`

Text Solution

Verified by Experts

The correct Answer is:
A

`therefore S.D. =sqrt((sum f_(i)d_(i)^(2))/(n)-((sumf_(i)d_(i))/(n))^(2))`
`=sqrt((137)/(60)-((37)/(60))^(2))=sqrt(2.2833-(0.616)^(2))`
`=sqrt(2.2833-0.3794)=sqrt(1.9037)=1.38`
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