The downside standard deviation, also referred to as downside risk, differs from the ordinary standard deviation insofar as the sum is restricted to those returns that are less than the mean:
DownsideStdDev(r1, ..., rn) = 
where
is the mean of r1, ..., rn. To annualize the downside standard deviation, one multiplies by the square root of the number of periods in a year, just as in the case of the ordinary standard deviation.
Related Statistics:
Standard Deviation
Annualized Standard Deviation
Variance