Visualizations should show the data, induce thinking about substance rather than design or technology, and avoid distortion. They should encourage comparison, reveal details at multiple levels, serve a clear purpose like description or exploration, and integrate with statistical and verbal descriptions. Effective visualizations strive for content focus, comparison over description, integrity, high resolution, and use of proven classic designs. When evaluating graphs, key principles include apprehension, clarity, consistency, efficiency, necessity, and truthfulness.