I hope I'm not asking a simple question, but I'm not exactly a statistician, so I was hoping someone can point me in the right direction.
Let's say I have data of SAT scores, BMI, and 40yard times of students in Wyoming, New York, and Texas, but the data doesn't have the metric from the same student. We can assume SAT scores, BMI, and 40 yard times are independent. What the data might look like is in the attached file.
Obviously BMI, SAT, and 40y are on completely different scales, but if necessary we can assume they are each normally distributed.
Now, here is where I start to get vague and I apologize for not having better terms, but I want to figure out how "Similar" states are based on these metrics. If all three metrics are wildly different from each state, the states are not similar, and if all three metrics are similarly distributed, then the states are similar. If SAT scores are similar but 40y times are different, the metric should be somewhere in between.
If someone can point me in the right direction on what kind of analysis I need to use, I would greatly appreciate it.