Question:
The values of normalized indices for a country are as follows.
Dimension Value of normalized index Standard of living 0.4 Education 0.2 Health 0.8
Following the current UNDP methodology, the value of Human Development Index (HDI) for the country is __________. (round off to 1 decimal place)
The values of normalized indices for a country are as follows.
| Dimension | Value of normalized index |
|---|---|
| Standard of living | 0.4 |
| Education | 0.2 |
| Health | 0.8 |
Following the current UNDP methodology, the value of Human Development Index (HDI) for the country is __________. (round off to 1 decimal place)
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The geometric mean used by UNDP ensures that a low score in one dimension (like education) drags down the overall HDI more significantly than the arithmetic mean would.
Updated On: Dec 5, 2025
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Correct Answer: 0.4
Solution and Explanation
Step 1: Recall formula for HDI.
According to UNDP, \[ HDI = (I_{Health} \times I_{Education} \times I_{Income})^{1/3}. \]
Step 2: Substitute given values.
\[ HDI = (0.8 \times 0.2 \times 0.4)^{1/3} = (0.064)^{1/3} = 0.4. \]
Step 3: Round off.
\[ HDI = 0.4 \] (round off to one decimal place).
According to UNDP, \[ HDI = (I_{Health} \times I_{Education} \times I_{Income})^{1/3}. \]
Step 2: Substitute given values.
\[ HDI = (0.8 \times 0.2 \times 0.4)^{1/3} = (0.064)^{1/3} = 0.4. \]
Step 3: Round off.
\[ HDI = 0.4 \] (round off to one decimal place).
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