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You can take any math you want in High School that is at your level. Most of the available classes for most schools are Intro to Algebra I, Algebra I, Geometry, Algebra II, pre-Calculus, and Calculus (not always offered). As long as you take any of these maths (the amount in years varies from place to place), and pass, you can graduate from high school.
Algebra by far. Statistics assumes a higher level of math learned already. Take algebra then stats
No. It is considered 9th grade math because algebra is usually taken in 9th grade
Most Universities require the SAT and the highest math that the SAT goes up to is algebra 2, so if you want to do well on the SAT and get a good score in the math section you will need to take an Algebra 2 course.
No. College Algebra and Precalculus (or Trigonometry) are enough preparation to take Calculus.