No, 5-7 rounds does not get the above average rifle within a single click. 20 shots in a group does that.
If you took all the “my rifle is half MOA all day long” guns, and put them in a Wiseman return to battery fixture and shot them in a tunnel- the average 95% come would be 2 to 2.5 MOA.
I will freely admit that I am pushing my own boundaries of what I grasp of stats here - I took grad level stats in 2001, I think, and have used some of the material for work at times but don't use the harder parts on a regular basis. I've been using some number of shots greater than 3, usually greater than 5, often 10 or more, off and on, for a lot of years. But I haven't touched the harder parts of the underlying math in a lot of years. I've been running on the assumption that 5-7 shots was sufficient (at least in general - I'm not shooting hundreds of yards with my less accurate rifles) and this makes me revisit that assumption.
The bad news: I couldn't calculate the answer to the underlying question here by hand to save my life.
The good news: AI can. This is one of the first times I've used it for much of anything.
The best ten-shot group I can distinctly remember firing was roughly 0.9moa at 100 yards (probably why I remember it). It might have been 0.875ish. I'm confident it was under 0.9. It's been a while.
More typical for the
better rifles I own, is more like 1moa, and 1.25 moa for more 'average' stuff. I'm ignoring the less-than-average stuff here because hopefully most of us aren't attempting our longest shots with our worst rifles. I certainly own rifles that would struggle to even make 3-4moa. But again, I'm not shooting them at great distances.
Those group sizes - 0.9moa to 1.25moa for ten shots - statistically, likely represent total cones of fire of ~1.75 to 2.5 moa. So I'm going to use those 1.75 to 2.5 moa figures. Those compare well with the 2 to 2.5 moa you refer to.
I asked Google Gemini to model the problem, using a 1.75moa, 2moa, and 2.5moa hypothetical rifle, and tell me how many shots, uh, samples, I needed, to be within 0.25 units (one 1/4moa click) of the true population mean, or zero.
I'm assuming a normal distribution (3SDs cover 99.7%). That's a huge assumption, and if I assumed a uniform distribution the sample sizes absolutely would increase greatly.
But Gemini is showing a need for 17 shots to be 95% at 2.5moa, 11 shots to be 95% at 2moa, and 9 shots to be 95% at 1.75 moa.
I will probably stick with 5-7 for the foreseeable future. Ammo costs money (and time, which sometimes is worth more than money), some degree of uncertainty is acceptable, and I'm monitoring with future zero checks at various intervals anyway. And, importantly, I have zero intentions of shooting at animals beyond 500 yards, and very rarely shoot steel past 600 or 750. If that changes I absolutely see your point that I need more shots for initial zeroes, so thank you for that.
Created with Gemini
gemini.google.com
Truth be told, I don’t know what I’m supposed to do. I’m in my mid 40’s and it’s our first. I’m probably doing it wrong.
I became a really good bullet caster when our babies were in the napping phase. On winter Saturdays during naptime I'd make a year's worth of pistol projectiles. Man, enjoy this time. It will not last.