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In any period during which real GDP rises, output per person and the average standard of...

In any period during which real GDP rises, output per person and the average standard of living automatically rise as well.

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It is a false statement. Real GDP refers to a measurement of output in an economy that is adjusted for inflation, computed as total economic output of a nation divided with the total number of people and is adjusted for inflation. The standard of living includes several elements that affect happiness of people, whether such elements are sold and bought in the market or not. Also real GDP per capita provides an average; and has nothing related to the inequality level in society. If real GDP per capita increases with 7%, it may indicate that in the society GDP has risen for everyone by 7% or that the GDP of certain groups has increased by more while the GDP of others has increased by less or even fallen

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