Education
What is Denmark's ranking for mean years of schooling?
Denmark
Demographics of Uzbekistan Geometric mean Human Development Index Aksel Jørgensen Education Index
Demographics_of_Uzbekistan-Education Geometric_mean-Properties Human_Development_Index-New_method_(2010_Report_onwards) Aksel_Jørgensen-Abstract Education_Index-Abstract
The educational system has achieved 99% literacy, and the mean amount of schooling for both men and women is 12 years. The government provides free and compulsory 12-year education. 
The fundamental property of the geometric mean, which can be proven to be false for any other mean, is  formula_37 This makes the geometric mean the only correct mean when averaging "normalized" results, that is results that are presented as ratios to reference values. This is the case when presenting computer performance with respect to a reference computer, or when computing a single average index from several heterogeneous sources (for example life expectancy, education years and infant mortality). In this scenario, using the arithmetic or harmonic mean would change the ranking of the results depending on what is used as a reference. For example, take the following comparison of execution time of computer programs:The arithmetic and geometric means "agree" that computer C is the fastest. However, by presenting appropriately normalized values "and" using the arithmetic mean, we can show either of the other two computers to be the fastest. Normalizing by A's result gives A as the fastest computer according to the arithmetic mean:while normalizing by B's result gives B as the fastest computer according to the arithmetic mean:In all cases, the ranking given by the geometric mean stays the same as the one obtained with unnormalized values. 
Dimensions and calculation. New method (2010 Report onwards). Published on 4 November 2010 (and updated on 10 June 2011), starting with the 2010 Human Development Report the HDI combines three dimensions:  A long and healthy life: Life expectancy at birth  Education index: Mean years of schooling and Expected years of schooling  A decent standard of living: GNI per capita (PPP US$) In its 2010 Human Development Report, the UNDP began using a new method of calculating the HDI. The following three indices are used:1. Life Expectancy Index (LEI) formula_12. Education Index (EI) formula_2 2.1 Mean Years of Schooling Index (MYSI) formula_3 2.2 Expected Years of Schooling Index (EYSI) formula_4 3. Income Index (II) formula_5Finally, the HDI is the geometric mean of the previous three normalized indices:<br>formula_6LE: Life expectancy at birth<br>MYS: Mean years of schooling (Years that a 25-year-old person or older has spent in schools)<br>EYS: Expected years of schooling (Years that a 5-year-old child will spend with his education in his whole life)<br>GNIpc: Gross national income at purchasing power parity per capita 
Aksel Jørgensen (1883–1957) was a Danish painter and wood engraver. He is also remembered for his years as a professor at the Royal Danish Academy where he instructed many of Denmark's most successful illustrators. 
The United Nations publishes a Human Development Index every year, which consists of the Life Expectancy Index, Education index, and Income index. The Education Index is calculated from the "Mean years of schooling index" and the "Expected years of schooling index". Education is a major component of well-being and is used in the measure of economic development and quality of life, which is a key factor determining whether a country is a developed, developing, or underdeveloped nation. 