In the most recent Stanford Magazine, I encountered a piece called "What It Takes: How Does Stanford'sUndergraduate Admissions Staff Decide Who Gets Accepted? Short Answer: It'sComplicated." Although the article focuses on college admissions, it's instructive for medical school and residency applicants as well.
A take home point is uncovered when Stanford Dean of Admission Richard Shaw says he is seeking "intellectual vitality" and "passion." He remarks, "We want to hear a 'voice' - that's a critical component."
These comments directly support the point I drill into those I mentor: Make sure your candidacy is distinctive by showcasing your accomplishments. Make sure you can be distinguished from all of the competing applicants.
Take a look at the piece. It's worth the short read.