There are very many ways in which information can be presented in graphic form. On of my personal favourite graphs is Minard's graph of Napoleons's army's invasion of Russia: http://en.wikipedia.org/wiki/French_invasion_of_Russia#Weather_as_a_factor
The interpretation of the graph depends on what information is being plotted, with what axes and also what other information is plotted with it.
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line graphs bar graphs pictographs you are really sexy
Graphs are pictorial representations of relationships.
Both bar graphs and picture graphs show statistics (data) in a visual (graphic) form.
graphs are to compare and contrast data
Graphs show data in a short manner. Graphs can be found int he newspaper everyday in the financial section of the paper.