With reference to measures of poverty and inequality, consider the following statements: 

1. The Gini Coefficient measures income inequality within a country. 

2. The Multidimensional Poverty Index (MPI) assigns equal weight to all indicators within the three dimensions of health, education, and living standards.

3. The Rangarajan Committee on Poverty included nutrition and basic household amenities as part of the poverty assessment in India.

Which of the statements given above are correct?