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Average swing damage

Average swing damage in classic WoW is the middle of the weapon damage range plus the attack-power bonus; divided by the weapon speed it is white DPS.

average swing = (weapon min + weapon max) / 2 + attack power / 14 × weapon speed white DPS before hit, crit and armour = average swing / weapon speed

The weapon's listed damage range plus the attack-power bonus; everything else (hit, crit, glancing blows, armour) is applied on top.

Weapon120-180 damage, speed 3.4
Attack power1,000
Average swing150 + 242.9 = 392.9
White DPS392.9 / 3.4 = 115.6

Last checked: unverified against Forever. These are the long-established values of the classic ruleset (the 1.x game of 2005-2006); World of Warcraft Forever is in beta and may differ. When you test this one in Forever, post your numbers in Theorycraft.