I’m sorry, I thought I was clear. ??
You say you want to know what’s “normal”. But normal has two meanings, esp. in medicine:
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What’s healthy and good. Example: not having caries
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What most of the population currently does /has. Example: 90% of the population has caries.
So if the CDC is sending out current charts of what kids weigh today, these are normal type 2. BMI charts or related charts would be normal type 1. The value of normal type 1 is clear. What is the value of telling parents about normal type 2?
Again, I understand the need to measure and report height and weight for data. And changes in the personal growth chart of John Smith are important. Comparing John Smiths weight to normal type 1 is useful.
How is comparing John Smiths weight to type 2 normal in any way useful? A child that’s in the 10% percentile today might be in the 30% percentile in the 1980s, before the rise of obesity. That doesn’t change anything about the type 1 normal, the measure of healthiness on an “absolute” scale, or John Smiths personal scale.