Your groups will tighten up as you learn to shoot it. I have an exercise I go through when I haven't shot a springer in a while. I shoot at cans offhanded. Start at twenty yards and work out to 50. It will take a few shooting sessions but offhand shooting is the key. When you shoot off a rest the springer can shoot all over the place. learning to hold it correctly is the key. They are a very accurate rifle but I have found I shoot springers better with open sights than I do scoped.
This is sage advice. This fellow nailed it.
A tin of pellets and a beer can offhand will teach you more than a half million shots off a rest at a target. Then you can take what you've learned back to the bench and shoot buttonholes with it.
You can't worry much about precision or what pellet shoots best until you toss a couple pounds of pellets in the dirt. Plinking offhand you learn the cadence of the recoil and how to offset it with your off hand. You learn the trigger and how to time it. You get sensitive to your lock time and follow through. It's a crash course on your rifle and riflemanship. You learn how to handle the gun and not just shoot it.
Springers are tough to shoot off a rest. And scopes are a constant pain in the backside. I like offhand and sitting with my elbows on my knees. I like bipod and tripods. I can shoot better patterns off a bipod than I can off a bag. Within 50 yards almost as close a pattern with iron sights as a scope.
The biggest obstacle to stacking them is not a steady hold nor a better sighting system. It's about learning to work with the recoil and learning the arc of the pellet. That's what plinking offhand teaches you quick.