The answer is pretty easy from a statistical viewpoint.
Fatality rates may actually be the same from one country to another because countries are measuring their numbers very differently.
Take the UK. Early on, the government suggested thirty times as many people had the disease as hospitals were recording.
If Germany had the same numbers but tested half of its cases, its death rate would appear to be correspondingly lower.
This is definitely happening. So basically, international comparisons of death rates are useless. But comparisons of actual numbers of deaths are probably worth doing.
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