I got some bullets that the wieghts are all over the place. Anywhere from 139.7 to 140.3 and the lengths are varying up to .008 thousands.

How much effect can this have on accuracy? I have been accurate but would get a flyer too often for me and figuring this is why. What's normal range for bullet wieghts.

That is actually very common. Some manufacturers are more consistent than others. There is usually more than one machine at the factory stamping out the bullets at the same time so you will have variations. Especially at the meplat (French word for bullet tip - kinda annoying). You'll get better measurements if you use a comparator at the o-give rather than the tip. The o-give (bullet shoulder) is more consistent than the tip from bullet to bullet.

How much does it affect on accuracy? It depends on your needs. If you're shooting 1000 yard benchrest or F-Class you could sort them by weight. I recommend sorting by bearing surface instead but both are closely related. If you're shooting tactical, sorting doesn't always really matter. I shoot tactical and don't worry about it. My loads are always around .25 MOA give or take without sorting. For hunting, it is not an issue at all.

The best answer is to experiment for yourself. Sort them by weight and see if your groups will improve. You'll have the best data then. YMMV.

Just getting into the tactical shooting, so hopefully no big deal. Just seemed like a big gap to me.

I wouldn't sweat it. You can worry all day about stuff like this but none of it matters if you don't read the wind correctly.

I guess some guys measure and weigh and sort and figure it's worth the effort, but for me, personally I'd rather find the bullet that shoots the best just as they come out of the box. Everyone's got their own perspective on these things. I don't believe that the typical variation of mass-produced bullets is worth fretting over.

If and when I get sucked into the benchrest game I might see things differently and I am not a fan of the 900-yard shot on game...but maybe the occasional varmint.

I have seen this a lot w/shooters over the years and as tech. increases ect....I still see a lot of our new reloaders who try to be exactly perfect, ect..and don't understand that bench time is as if not more important that reloading..Once you get your skill set down where you are comfortable w/your weapon and it's loads you will have more fun...I went thru a stage of weighting everything, brass, projectiles..ect..and checking fps spread, chrono each load ect..then I noticed that my loads w/more spread
shot in hole groups and some with very small variance shot wider
groups..put the chron up, and went back to basics..DD