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.
No, AP Calculus is a far more difficult course.
It depends on the type of math you prefer. Calculus and Statistics are completely different classes that learn different things. Calculus is more of the numbers and formulas but statistics is a class about binomial distributions and what percent of your sample is in the correct area. It may be difficult, but it may be easy depending on who you are. In my opinion, it is very difficult.
Differential statistics are statistics that use calculus. Normally statistics would use algebra but differential statistics uses calculus instead of algebra.
Statistics
no
Calculus is much harder than statistics, and don't really have anything in common other than algebraic process. Calculus is the study of rates, while statistics is probability.
For many people, Calculus is the most difficult math subject. But it really depends on what is easier for you. For example, some people who are excellent at Calculus still have trouble with basic algebra. Calculus has long been considered the most difficult math subject. For younger kids algerbra is also very difficult to learn.
Some people find some calculus difficult, some don't.
Calculus to produce Quantative data
The answer depends on your aptitude and the level at which you are studying them.
Math is taught like this: Pre-Algebra, Algebra I, Geometry, Algebra 2, Pre-Calculus, Calculus, Trigonometry. Algebra I is similar to Algebra 2, but Algebra 2 has more difficult concepts, such as imaginary numbers. Added: I would have put statistics and trig in between Algebra 2 and Pre-calculus. You review trig in precalculus and statistics is the first transferable math course in college.
Calculus AB is a Calculus course taught in high schools based on an AP curriculum. The class is supposed to ultimately prepare a student to take the AP Calculus AB exam in May. While the specifics might vary from school to school, the core of the curriculum are limit definitions, differentiations, integrations, and applications of all of the above.