Of course, we shouldn't be credulous, but the antidote to credulity isn't to believe nothing, but to have the confidence to assess information with curiosity and a healthy scepticism.
Good statistics are not a trick, although they are a kind of magic. Good statistics are not smoke and mirrors; in fact, they help us see more clearly. Good statistics are like a telescope for an astronomer, a microscope for a bacteriologist, or an X-ray for a radiologist. If we are willing to let them, good statistics help us see things about the world around us and about ourselves — both large and small — that we would not be able to see in any other way.
-Tim Harford, How to Make the World Add Up: Ten Rules for Thinking Differently About Numbers
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