Posted by **Anonymous** on Friday, November 6, 2009 at 3:14pm.

{9, 7, 13, 24, 32, 45, 47}

First you have to find the mean

The mean is

9+7+13+24+32+45+47=177/7=25.2857=25.29

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.

{9, 7, 13, 24, 32, 45, 47}

(25.29-9)^2=16.29^2=265.36

(25.29-7)^2=18.29^2=334.52

(25.29-13)^2=12.29^2=151.04

(25.29-24)^2=1.29^2=1.66

(25.29-45)^2= -19.71^2=388.48

(25.29-47)^2= -21.41^2=458.39

1599.45

Sqrt 39.99

My answer isn't matching the possible choices

- Math-Answer included -
**bobpursley**, Friday, November 6, 2009 at 3:23pm
your mean is correct.

(25.29-9)^2=16.29^2=265.36

(25.29-7)^2=18.29^2=334.52

(25.29-13)^2=12.29^2=151.04

(25.29-24)^2=1.29^2=1.66

(25.29-45)^2= -19.71^2=388.48

(25.29-47)^2= -21.41^2=458.39

Your second moment about the mean is correct.

Now, standard deviation. I would divide that sum by n=7 (or in real life, n-1) then take the square root.

I get about 16

http://hubpages.com/hub/deviation

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