Addition Rules for Variances
Key Questions

#8.60# You cannot just add the standard deviations.
Instead, you add the variances. Those are built up from the squared differences between every individual value from the mean (the squaring is done to get positive values only, and for other reasons, that I won't delve into).Standard deviation is defined as the square root of the variance .
The other way around, variance is the square of SD.So:
 You square the individual SD's to get the variances
 Then you add these together to get the total variance
 Then you take the square root to get the total SDYour case:
Total variance =#7^2+5^2=49+25=74#
Total SD =#root 2 74=8.60...# This works for any number of independent variables (mark the bold type for independent!)

Unless you know the "rules" of their dependency, you can't.