Zack takes the SAT, and his best friend, Nick, takes the ACT.
Zack’s SAT Math score is $680$, and Nick’s ACT Math score is $27$. SAT Math scores in the county are normally distributed with a mean of $500$ and a standard deviation of $100$. ACT Math scores in the county are also normally distributed but with a mean of $18$ and a standard deviation of $6$.
Assuming that both tests measure the same kind of ability, who has scored better relative to their peers?