But then, perhaps I would be a "below-average" teacher, and my opinion might therefore similarly be discarded as worthless. We'll never know for certain, because I don't make a habit of boarding sinking ships - especially when I'm slated to receive blame for their sinking after boarding them. (And I did at one point very much want to enter the field of secondary school education.)
(Slight modification: I won't board a sinking ship and take blame for it's sinking after the fact without some substantial advantage, such as excellent remuneration, being offered as well - teaching offers no such advantage, except perhaps self-actualization, and I can neither eat nor sleep in that.)
(I find it curious that another poster takes the opposite tack, claiming that teaching exists only to maximize the financial success of students, whereas medicine has a more nuanced end. I confess to finding this position truly bizarre.)
For example, I have a simple model that ends up showing that an ICU doing everything it's supposed to do (patient isolation, high hand hygiene compliance, perfect diagnosis, etc.) can have a four-fold difference in MRSA infections over a year by chance alone.
1) "Each patient is unique" just like "each student is unique"...but we still give standardized tests (to the grumbling of below-average teachers and administrators)
2) If the sample size is too small because the disease is rare, there may be a genuine measurement problem. If the doctor or hospital's sample size is too small but the illness is common, then they should be referring those patients to providers/facilities with the requisite experience levels.