Why do we need a graph? Me personally, have never needed a chart to check my sales data. I have used graphs to impress my seniors, who I am not sure if they get impressed with weak numbers presented in innovative graphs.
As the numbers get larger and inconsistent, a graphical display will help. I do not want to dilute your vision by giving an example, but the temptation is too high. – World population and comparison of per capita GDP and the number of people who are HIV positive on a 5.5-inch cell phone screen. Geo-mapping is the likely and the only way you see it at the moment. I agree that there is no other way. And I hope you can visualise some hypothetical data on a cell phone and sense how it will look with filters and options.