Question

Standard deviation of 300, 785, 670, 187, 760, 724

Answer 1

STEP 1

Mean =
`(300+785+670+187+760+724)/(6) = (3426)/(6)=571`

STEP 2

Subtract the mean from each data value then square the answer

`300-571=-271` ⇒
`(-271)^(2) =73441`

`785-571=214` ⇒
`(214)^(2)=45796`

`670-571=99` ⇒
`(99)^(2)=9801`

`187-571=-384` ⇒
`(-384)^(2) =147456`

`760-571=189` ⇒
`189^(2)=35721`

`724-571=153` ⇒
`153^(2) =23409`

STEP 3

Add the squared answers in STEP 2 then find the mean


`(73441+45796+9801+147456+35721+23409)/(6)= (335624)/(6)=55937.3`

STEP 4

Square root the answer in STEP 3

`√(55937.3) =236.5`

Standard deviation is 236.5