Do we need the plot?
We set out plotting a graph by knowing its purpose: "why". In preparing manuscripts to submit to journals, slideshows, or poster presentations, we always have a coherent main theme throughout, or at least within a section. Figures inserted are the evidence that guides us step by step to drawing the conclusion consistent with the theme.
Knowing the purpose of figures, "when" the dataset is worth a plot, depends on determining how it shapes a sound argument toward the conclusion. Note that this does not mean we should hide away contradictory results. Instead, given the limited space and time (and more importantly, the effective attention that our audience can give), we can save on redundant information. Necessary but unimportant ...
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