I may be off my rocker, but it seems kind of weird to specifically discount murders and such when calculating life expectancy. I mean, I get that the health care system probably can't have much effect on murder as a cause of death, but life expectancy is life expectancy no matter what eventually ends up killing you.
(My reference to Hans Rosling was more of an aside, I didn't mean to conflate average life expectancy with the standard of health care. I apologize if that wasn't clear.)