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The Weighted Mean forecast incorporates all of the player's potential outcomes into a single average, weighted baed on projected playing time. In almost all cases, poor performances are associated with a reduced number of plate appearances. For that reason, they don't hurt a player's team quite as much as good performances help it; the weighting is designed to compensate for this effect (see also Jeremy Giambi Effect).
EXCEPTION: a player's projected PLAYING TIME (and therefore, his counting statistics that are incumbent on his playing time) is taken based on the median of his comparables' performance, rather than the weighted mean. This is designed to mitigate the influence of catastrophic injuries, which are better represented by Attrition Rate.
This exception does NOT affect a player's WARP and VORP forecast, which are calculated per the weighted mean method, treating players who dropped out of the database as having zero WARP/VORP.
Weighted Mean appears in the following BP Glossary Categories: