Source: I'm currently enrolled in both.
AP Stats: The most boring class you will ever take (although AP US History comes close). However, it is incredibly easy. To the point that you may wonder if you have accidentally stumbled into the CP Stats class by accident. Also rumored to be the easiest AP exam. If you don't perish of sheer, unadulterated boredom.
AP Calc: This class is not boring. Au contraire, it is quite interesting. (I usually dislike math, and I'm intrigued). But of course it too has a caveat: it is reasonably difficult. As in you actually have to pay attention, and possibly do some of the homework. If you feel comfortable with math (esp. those trigonometry skills!) take it.
No, AP Calculus is a far more difficult course.
Statistics
take both
The answer depends on your aptitude and the level at which you are studying them.
Calculus or AP Calculus
Check with your guidance counselor to see what your school's prerequisites are for AP Calculus.
Differential statistics are statistics that use calculus. Normally statistics would use algebra but differential statistics uses calculus instead of algebra.
The courses you can take really depend in the High School you are in (I will assume that you are referring to High School Courses). After algebra, most schools allow Pre Calculus. Pre Calculus is basically just like algebra two, just with more trigonometry and deeper exploration of math. Then, one can take the flower of math, Calculus. In schools that offer Advance Placement (AP) courses, will offer AP Calculus AB and AP Calculus BC. Calculus was divided into parts, here A, B and C. I have heard of a D section, but is not taught in many high schools. Separate from the Calculus course tree we have statistics. One can take statistics, followed by AP Stats. (One might be able to skip statistics should they be competent enough for AP Stats.) There is also a branch of Math called Discrete Mathematics, that concerns mostly on logic, that is separate from other math course tree.There could be other math courses, such as Further Mathematics, but the courses stated above are the most common courses offered.
It depends, i took AP Calculus as a junior but mainly it is for seniors.
AP CALCULAS AP CALCULUS* is not the hardest math. Analysis, Set theory, Algebra, Topology, Calculus and Number Theory
This is not a hard schedule, because you get to choose at least a unit in each of the faculties
no