Can I chip in as a mathematician and express my despair at using statistical methods for determining who is healthy? Standard deviations are used in well-defined normal/Gaussian distributions, like the height of adult Caucasian males. You don't even combine men and women's heights into one distribution! Standard deviations are not like some all purpose measuring tape: they have to be used with great care, and combining different data distributions is a minefield.
I've used this analogy before, but when I started teaching, in examinations they used to grant O-level passes to the "top" 20% of the school population in maths (and 40% in English). Then, as they moved to GCSEs, they moved to a standard based assessment, like driving tests, where student had to reach prescribed levels to obtain the grades. That's obviously the right way to determine who passes and who fails. When all the marked scripts come together, experienced teachers and exam moderators decide for each exam, at what stage pupils can be said to have reached those prescribed levels.
So why can't experienced doctors, looking at the results of a large number of healthy and of ill patients determine the "pass" levels without playing around with statistics that they don't understand? Have they no faith in their own ability to tell healthy from ill, or do they think that using complicated calculations just makes things look better?
I also suspect there is some "weasel word" work going on around the use of the word "normal" rather than "healthy". How abnormal is it to be ill?