According to the question,
- Life expectancy index
=\(\frac{70-20}{85-20}\)
=\(\frac{50}{65}\)
=0.769
- Education Index
=\(\frac{{\displaystyle\frac{4.1}{15}}+{\displaystyle\frac{12.2}{18}}}2\)
=\(\frac{0.27+0.677}2\)
=\(\frac{0.94}2\)
=\(0.477\)
- Income Index
=\(\frac{\ln\left(2337\right)-\ln\left(100\right)}{\ln\left(75000\right)-\ln\left(100\right)}\)
=\(\frac{3.15}{6.62}\)
=\(0.475\)
- Human Development Index
=\(\sqrt[3]{0.769\times0.477\times0.475}\)
=\(\sqrt[3]{0.175}\)
=0.558
Hence, according to the given data Human Development Index (HDI) of Nepal = 0.558