Why is the standard error $\sigma/\sqrt{N}$ not considered as being as brilliant as $a^2+b^2=c^2, \pi, e$ etc.

Question

I'm aware that the standard error of mean is statistics. But what is the explanation that the standard error of mean $\sigma/\sqrt{n}$ is not considered being as brilliant an invention as

• Pythagoras' theorem
• $\pi$
• $e$

etc.?

Unquestionably, in maths the above and others like $e = mc^{2}$ etc. are considered ground-breaking concepts.

$$\sigma/\sqrt{N}$$

Answer 1

1) generally use little "n" in statistics for sample size, big "N" is reserved to denote a normal distribution

2) This is extremely subjective

3) As a statistician, I don't think standard error is that incredible. For highly skewed data it becomes useless (i.e. standard error for mean of incomes) while for skewed data something like a five number summary are better statistics to report.

4) I'd argue if anything from statistics that would take a top echelon place would be the CLT or maybe simple "1.96"