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I like taking online IQ quizzes. Very commonly I see questions like this:

Which of the figures below the line of drawings best completes the series?

Sometimes it's like this:

Which of the graphs below the line of drawings best completes the series?

Are the words figure, graph and drawings above interchangeable with each other?

Thanks,

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I would say no, they are not interchangeable in general. A drawing is a kind of picture, not necessarily with any annotations or explanatory text. A picture that includes those things would be a figure or diagram. A graph is (although maybe as a mathematician/scientist I am biased!) some kind of data- or concept-driven plot involving patterns or numbers with at least one axis, such as a graph of the sine function (a wave) or a graph showing a company's budget over the last year.

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