As you have asked about the Valedictorian Scholarship offered by Xavier university, I want to tell you that it does not offer any such scholarships.
It offers following scholarships:

St. Francis Xavier Scholarship

Admission Application Deadline: February 1, 2016
Scholarship Application Deadline: February 1, 2016
The application is no longer available as the deadline has passed.

It is a full tuition, four-year scholarship.
It is awarded annually to up to 10 incoming first-year students with exceptional academic achievement

Merit Scholarships and Awards

All applicants for admission are considered for these awards
scholarship and award amounts ranged from $11,000 to $20,000 annually

National Merit Scholarships:
National Merit finalists who list Xavier as their first choice and meet the application deadline are guaranteed at least a Presidential scholarship, plus a $1,000-$2,000 renewable award depending on financial need

Multicultural Scholarships
Miguel Pro and Francis X. Weninger Scholarships

Contact:

Xavier University
3800 Victory Parkway
Cincinnati, Ohio 45207
513-745-3000