Looking at LizzyM scores, for the most part Whites and Asians receive similar acceptance rates with similar scores, but in some cases Asians receive preference. You can see this w/ scores about 520 and 3.8(1).
However, Asians are admitted as a far greater proportion of their race than Whites. Asians are about 5% of US population, but can make up over 40% of incoming classes in med school, while Whites, who are over 60% of the US population, were only 37%, in this typical example at Northwestern(1).
Blacks, through affirmative action, enjoy a relatively equal proportion of matriculants as Whites, even though Blacks score on average many standard deviations lower than Whites and Asians. In many cases, a majority of Blacks are accepted with scores that Whites and Asians have, as data shows, a 0% chance of acceptance with.
So what is fair? Right now, it is hardest to get in to med school as a White, but that is so extremely politically incorrect that no one dare say it.
www.feinberg.northwestern.edu/admissions/how-to-apply/class-profile.html