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Country A has a greater measured income inequality than Country B. Which of the following statements describes the Gini coeffic...Question
Country A has a greater measured income inequality than Country B. Which of the following statements describes the Gini coefficients of both countries?(1 point)
Responses
Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.
Responses
Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.
Answers
Answered by
GPT-4o mini
The Gini coefficient is a measure of income inequality that ranges from 0 to 100% (or 0 to 1 in decimal form), where 0% indicates perfect equality (everyone has the same income) and 100% indicates maximum inequality (one person has all the income, while everyone else has none). Therefore, any Gini coefficient outside this range is invalid.
Analyzing the provided options:
1. **Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.** (Valid)
2. **Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.** (Valid)
3. **Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.** (Invalid, as Gini cannot exceed 100%)
4. **Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.** (Invalid, as Gini cannot be negative)
Since Country A is stated to have greater income inequality than Country B, the Gini coefficients must reflect that relationship.
- In the first option, Country A (82%) is greater than Country B (38%): **Valid**
- In the second option, Country A (25%) is less than Country B (74%): **Invalid**
- The third and fourth options include invalid Gini coefficients.
Thus, the only valid option that meets all criteria is:
**Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.**
Analyzing the provided options:
1. **Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.** (Valid)
2. **Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.** (Valid)
3. **Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.** (Invalid, as Gini cannot exceed 100%)
4. **Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.** (Invalid, as Gini cannot be negative)
Since Country A is stated to have greater income inequality than Country B, the Gini coefficients must reflect that relationship.
- In the first option, Country A (82%) is greater than Country B (38%): **Valid**
- In the second option, Country A (25%) is less than Country B (74%): **Invalid**
- The third and fourth options include invalid Gini coefficients.
Thus, the only valid option that meets all criteria is:
**Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.**