Usually the Bars in a BarChart are aligned side by side. How can I have them to be on top of the previous one? So I would think of creating series as I already have and adding them to a renderer, but telling the renderer to put the new series on top of the existing one, instead of putting it beside the existing one. To calculate just the max value and display only one Series is not feasible, since I would have a lost of information though (I am using legends...).
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This kind of bar chart is called stacked bar chart. See an example of building such a chart with AChartEngine here.