Impact of taking Latin for only a year?

So, you’d have 4 years of French and 2 years of Latin? Yes, it’d be very valuable. First, because the two languages have many points in common. Second, because it’s rare, and therefore a positive differentiator for an adcom reviewing your transcript.

Statistics is better taken in college, because it’s one of those classes that goes on your resume under “relevant classes” (and your potential employer doesn’t care what classes you took in HS). In addition, College stats comes in two flavors, calc-based and non-calc based, so you can choose what works best for you and the major you want to pursue.