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government of a country is interested in assessing and comparing human development across its three regions A, B and C based on three dimensions. The

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government of a country is interested in assessing and comparing human development across its three regions A, B and C based on three dimensions. The country consists of ve people and their joint distributions of achievements in three dimensions within three regions are provided in the following table. For your convenience, the achievements have been normalised between zero and 10. Joint distribution of A Joint distribution of B Joint distribution of C Person D1 D2 03 D1 DZ 03 01 D2 03 Person 1 5 4 7 7 5 7 7 6 8 Person 2 9 6 6 8 5 7 6 5 7 Person 3 7 5 9 8 5 9 5 4 6 Person 4 6 7 8 8 5 8 8 7 9 Person 5 8 8 10 9 5 9 9 8 1O 01, DZ and D3 refer to dimensions 1, 2 and 3, respectively. Elaborate and justify in detail how you would compare these three regions using various measurement tools for assessing human development. Please provide estimates and report your calculations up to three decimal gures

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