As has already been clearly stated you, and everyone else, are governed by the rules that make the universe work and in your case the laws that make statistics work are looking in your direction.
Among the accuracy/reloading community there is a very marked reluctance to accept this and so many "made up words and concepts" are used to account for things that are actually already well understood and explained. So called "gun writers" seem to make a living out of this and many of them, and their readers, are doing nothing more than fooling themselves.
Many of the various procedures you are called upon to carry out when shooting, or reloading, have no foundation in the actual physics and, indeed, the people promoting them are unable to understand basic physics never mind come up with new physics.
In terms of the statistics consider the world record group shot at some benchrest competition. If it is possible to shoot this group why is the person doing it not getting such a group every day? Why are his groups not all like this? Why are some shooting records years old, and others recent? The truth is that the results are governed by statistics but statistics only apply to large samples.
I would also encourage caution when it comes to what people claim on the internet. Many years ago on this forum a member was claiming that he was shooting very small groups all day every day leaning on his Land Rover. A quick look at the figures for the claimed groups revealed that for the range involved they would have been world record groups. There was also a much quoted expert in ballistics/reloading etc. who had a web page and was very keen to point out that he had a PhD - he always used the title of Dr. in his name. The implication was that he somehow knew more than you do but a quick read of his "research" saw him using made up words, or the wrong words, or seeming to show a lack of basic understanding. A few minutes research revealed that his PhD was in sociology, no doubt an achievement but hardly a qualification for inventing new physics.
I saw Mungo say he would post some examples of, I suspect, normal distributions. Your shooting will look like this because this is a physical reality that quite literally governs how the universe exists. Not only does it open the possibility that your groups will often be bigger than you like but it also creates the possibility that, if you are only going to fire 3 shots at the target, then you might one day shoot a world record group. You can always post the picture on the internet and tell everyone that you shoot groups like that all day every day