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These are not the same thing and one does not necessarily correlate to the other. Standard of living is simply a measure of how well you can access goods and service, usually using income. Quality of life is a more subjective measurement that measures stuff like your physical and mental well-being. Naturally, having more stuff doesn't necessarily make you more happy (and I'd argue at some point, the pursuit of consumer goods actually worsens quality of life).
On a side note, I must admit that I was wary of economics for the longest time partly because of a stereotyped notion that they focussed too much on the former and not so much on the latter. Might be true, might not, but it would have helped if I actually took an economics class.
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Not sure how true that is...