A scheme to optimally weight the members of an ensemble of forecasts i
s discussed in the framework of calculating an as accurate as possible
ensemble average. Results show, relative to a single member, a consid
erably improved 500-mb height forecast in the 6-10-day range for the N
orthern Hemisphere. The improvement is nontrivial and cannot be explai
ned from simple smoothing. This method is used in operations at the Na
tional Meteorological Center.