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Some of the people facing an introductory statistics course seem to fear it because they are the very people who fear, or have avoided, mathematics courses of other kinds. In other words, the difficulty is not necessarily intrinsic to the statistics course, it's a consequence of the fear in the person taking the course.

Speaking from personal experience, I can say that there are statistics courses that require more or less advanced mathematics, and some that require almost no formal mathematics at all. Understanding statistics at the introductory level does not depend on anything derived from calculus. Rather it has to do with basic intuitions about probabilities.

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