The Gini coefficient is a measure of income inequality that ranges from 0 to 100%, where 0% represents perfect equality (everyone has the same income) and 100% represents perfect inequality (one person has all the income and everyone else has none).
Given that Country A has a greater measured income inequality than Country B, we expect Country A to have a Gini coefficient that is higher than that of Country B.
Let's analyze the options:
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Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
- Here, 82% > 38%. This is consistent with the statement that Country A has greater income inequality.
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Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
- A Gini coefficient cannot exceed 100%, so this option is not valid.
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Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.
- A Gini coefficient cannot be negative, so this option is also not valid.
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Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
- Here, 25% < 74%, which contradicts the statement that Country A has greater income inequality.
Thus, the only valid response that describes the Gini coefficients correctly is:
Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.