Christopher H.

asked • 03/10/16

Sum of Squares/Statistics

For a statistics problem:

I am given the sum of the set of data, and I need to find the sum of squares. How would I be able to do this without knowing each individual score, subtracting it from the mean, and so on?

For instance, the sum of the 10 numbers is 480. I need to find the sum of squares.

How would I accomplish this?

1 Expert Answer

By:

Tim M. answered • 03/10/16

Tutor
5 (2)

Statistics and Social/Biological Sciences

Christopher H.

Standard deviation is 29.09
 
Variance is 846
Report

03/10/16

Tim M.

Ah, we can work with that.
The variance for a sample is SS/(n-1). Since we know that variance is 846, and that the sample size is 10, we can use the following formula:
846 = SS/(10 - 1), doing a little algebra, we get:
 
846 = SS/9
 
846*9 = SS
 
7614 = SS
 
Quick side note - That calculation is for samples. If you're dealing with a population, replace "SS/(n-1)" with "SS/n"
 
Hope that helps
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03/10/16

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