[TallGuyShort]

There's a TED talk you may enjoy in which the speaker (I believe Arthur Benjamin) argues that statistics should be taught before calculus. There's a bit of a dependency on calculus in statistics (e.g. the proof of linear regression makes no sense without differential calculus), but I find that I use linear algebra and statistics far more in my work, daily life, and when reading about topics that interest me. There was no mention of those branches of math in my high school - I had to learn about them on my own, and I feel they're more valuable. I don't think you need to drop trigonometry and calculus to make room, though. I started my education in New Zealand and I believe by 7th form (final year of high school) students there have done both statistics and calculus, and more linear algebra than students in the US have.