I don't think there's any standard answer for your question. But I feel pretty comfortable saying that the average factory rifle will shoot a lot better than 3.5 moa. They used to do better than that in the late sixties and early 70s, and the quality of the barrels has only improved since that time. It's not uncommon for factory rifles to shoot better than 1 moa in this day and age. A few may even shoot better than 1/2 moa with some careful handload development. To bad you couldn't find the Tikka T3. I've never heard of one of those that didn't shoot respectably well.
I'd make sure there's no loose screws holding the action to the stock and the scope to the receiver. I'd do that after I took the barreled action out of the stock to see if there was anything obviously wrong with the bedding of the action to the stock. Then I'd try it again, and with at least one more bullet weight in a different factory round, if you're using factory ammo. I might even try a different scope if I wasn't sure the scope was good. If I still had 3.5 moa I'd probably end the misery and go ahead and sell it.
Here's a link to a recent thread and with at least one full-time gunsmith's (Fiftydriver) opinion on the matter.
New Rifle: What do you think about this?
Some factory rifles are gems, others will be lemons. The quality control on production line rifles will result in some poor shooters.
Some other gunsmiths may sound in also. You might take it into a knowledgable gunsmith for an inspection if you don't know your way around bolt action rifles. They can inspect it and may be able to see something obviously out-of-whack.
I've only encountered one rifle that shot this poorly (3.5 moa), and I didn't own it for very long.