Guild Wars 2

First here’s some info of ascended weapon strengths:

Dagger 970 – 1030
Warhorn 855 – 945

So do these numbers have any meaningful impact in the game? Also does my main hand dagger skills become significantly weaker when I choose to wear warhorn instead of offhand dagger?

Mainhand skills (lightning whip, burning speed, etc) are based on your mainhand weapon strength.
Offhand skills (comet, firegrab, etc) are based on your offhand weapon strength. Thats why its so common to never bother with an ascended focus for ele- only 3 of our focus skills do damage (and the damage is secondary to the utility of those skills) so its often better to just have multiple exotic foci with slaying sigils, energy and the like.

I though that they the average of the weapons high and lI were taken to get the dmg, or is that for theif?

Shield focus and wh are pure off hand wepon though i do wish they would add in some + to focus and wh much like shield gets a def +.