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The standard deviation of data 6,5,9,13,...

The standard deviation of data 6,5,9,13,12,8 and 10 is

A

`sqrt((52)/(7))`

B

`(52)/(7)`

C

`sqrt(6)`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, data are 6,5,9,13,12,8, and 10

`therefore S.D. =sigma=sqrt((sum x_(i)^(2))/(N)-((sum x_(i))/(N))^(2))=sqrt((619)/(7)-((63)/(7))^(2))`
`=sqrt((7xx619-3969)/(49))`
`=sqrt((4333-3969)/(49))`
`=sqrt((364)/(49))=sqrt((52)/(7))`
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