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What is considered an accurate shot string?

My rifle has a 480 size bottle and is shooting a string of 70 JSB 18.1 pellets at between 940 fps to 965 fps. Most of them are between 940 and 960. My bothers HW 100 will vary between 850-854 for a shorter string because his cylinder is smaller. I am jealous of the small difference in his but his is not pellet on pellet at 25 yrs. Does having a small difference between the fps in your shot string normally give you better accuracy? Can you have a larger variance like mine and still shoot pellet on pellet at 25 yrds.? Does Barrel make a bigger difference in accuracy than how much your fps varies in a shot string? Thanks for any help or direction you guys can give me.
 
Short answers: yes, yes, no
Fps variance doesn't really manifest as POI change until further out. The barrel has nothing to do with fps consistancy. That comes from your valve and/or regulator setup and to a lesser degree the variance in pellet weight and size from the tin. This is why there are guys sorting pellets. Also try every pellet you can get ahold of until you find the one your barrel likes. Consistancy is king if you want accuracy, and it is suprising how groups can open up because your grip or trigger attack is different from shot to shot. Holding pressure and position, aiming, checking your cant, breathing, squeezing the trigger, maintaining hold throughout the full shot cycle ==> is your airgun kata.
 
My FX Royale is unregulated and if I shoot between 180-130 bar I get about a 20-25 fps ES. No accuracy issues at those ranges. I may at some point add a regulator, but then again, I may just leave it as is. I'd say if you are happy with the accuracy of the gun, don't even worry about that spread. It's really not much at all. My Vulcan is out for service to see why it throws such awful flyers and has inconsistent accuracy, despite being able to shoot a string with only a 5-7 fps spread.