The accompanying data set contains economic development indicators for 11 African countries collected by the World Bank in 2015. The economic development indicators include annual % growth in agriculture (Agriculture), annual % growth in exports (Exports), annual % growth in final consumption (Final consumption), annual % growth in GDP (GDP), and annual % growth in GDP per capita (GDP Per Capita). A portion of the data set is shown in the accompanying table. 

a. Perform k-means clustering to group the countries into three clusters using all the development indicators. Is data standardization necessary in this case? 

b. What is the size of the largest cluster? Which cluster has the highest average growth in GDP per capita?

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Country Agriculture Burkina Faso -3.476123489 Burundi B Mali Exports 1.382199926 -2.982607113 -9.90 E 6.924199557 E 4.671865704 ⠀ GDP Per Capita 0.884822306 -6.81765662 # 2.898828067