boone wrote:

Thanks for everyone’s help. I’m happy to report back with our results. My boy was able to shoot the following grouping of four pellets from about 25 yards shooting off a bench with the forearm cradled in a shooting bag rest. I placed a quarter in the photo for reference. I was able to get a similar grouping. We still get an occasional strange shot that’s way off the mark but about 80% are in tight groupings. Here’s what we did to improve our consistency.
1.) Shot the Beeman Kodiak Match Extra Heavy pellets. I think they’re about 10.65 grains and domed shaped and look real uniform. I bought 300 on-line for about $15 delivered.
2.) Lock-Tited down all the scope and barrel screws with medium power, blue Lock-Tite.
3.) Shot off a shooting bag rest.
4.) As Iowa_Josh stated, how you hold the gun seems very critical. We let the gun sit loose in the saddle of the shooting bag. I think our occasion fliers may be due to improperly gripping the gun. Our fliers still hit the paper plate but they typically tend to be about 3-4 inches low.

Thanks again for everyone’s help.