DonL: Agree with FAL308. Also: Check your scope focus for parallax (you move your eye, the target/crosshair alignment changes) and screw the eyepiece in or out until everything stays steady.
A poor-boy, lazy-guy bedding system which has worked for me on bunches of rifles is to free-float the barrel forward of the receiver-ring, although I take very little wood from the forward-most one-inch of the stock. I then take kitchen wax-paper and cut a 3/4" strip, and use it as a shim between the barrel and the fore-end of the stock. I keep folding it until it takes about a five-pound pull to make clearance between the barrel and the stock. Trim with razon. Shoot 5-10 shots, quickly, to heat the wax and make it all stick.
The wax paper acts as a "shock absorber" and dampens barrel vibrations. The theory is that the vibrations are uniform from shot to shot.
I have done this with no other changes in the gun or the load, and reduced group sizes from 1-1/2" or so on down to under an inch...
The most radical improvement I ever saw was on my Wby Mk V in .30-'06. Out of the box in 1970, it would not shoot tighter than a three-inch group. After my re-bedding, 3/4". No other changes. Before an antelope hunt last year, I got a 3-shot, 1-2" group [brag, brag,
]...
Best regards, good luck.