after West Virginia Univ (24, 470), closest are U of Iowa (18, 470), U of Nevada-Reno (18, 470), U of New Mexico (16, 470), and Michigan State (16, 430), ending with Abraham Baldwin Agricultural College (0, 200).

1. The list of Rhodes Scholars by institution was determined in Feb 2014, covering all winners through 2013, from http://www.rhodesscholar.org.
   
2. College SAT data is from the Institutional Characteristics Data File 2012-2013 (Provisional Release) as reported by the National Center for Education Statistics (http://nces.ed.gov/ipeds). Note that only about 41% of all colleges in this dataset reported at least one numeric SAT score.
   

West Virginia Univ is in Morgantown, WV, is public, is in the Big Twelve Conference, research intensive, a top-100 party school, a land-grant institution, has a Phi Beta Kappa chapter, has a law school, has a nursing major, has had a Final Four men's basketball team, offers a Doctor of Medicine degree, offers on-campus housing, plays division I/FBS football, requires test scores for undergrad admissions, its top major is multi-/interdisciplinary studies, other, is on the semester system, its top Masters major is social work, its top Doctoral major is law, and enrolls 20,000 or more students.

• Forbes Best Buy ranking (30th place)
• USNews law school ranking (91st place)
• USNews MBA ranking (104th place)
• Webometrics world ranking (230th place)
• PayScale mid-career median salary ranking (410th place)
• research spending ($129.2M)
• average full-time teaching salary ($81,253)
• out-of-state undergrad tuition & fees ($18,868)
• endowment per full-time student ($13,774)
• average undergrad student loan ($6,833)
• average grant aid to undergrads ($6,664)
• in-state undergrad tuition & fees ($6,090)
• cost of a shared room ($4,648)
• research spending per student ($3,812)
• non-resident tuition & fees surcharge (209.8%)
• undergrads who get financial aid (88%)
• full-time retention rate (77%)
• undergrads among full-time students (76.8%)
• undergrads who receive student loans (56%)
• ratio of female full-time freshmen (54.6%)
• in-state freshmen (41.7%)
• grad students who are under 25 years old (34.9%)
• average teaching salary differential (men vs. women, 30.7%)
• undergrads who get Pell grants (28%)
• tuition & fees increase over three years (15%)
• minorities (8.3%)
• undergrads who are 25 years or older (7.6%)
• disabled students (6%)
• foreign students (5.1%)
• Blacks or African Americans (3.8%)
• Hispanics (2.5%)
• Asians (1.8%)
• American Indians or Alaska Natives (0.2%)
• average teaching salary differential (women vs. men, -23.5%)
• 25th percentile SAT math score (480)
• 25th percentile SAT reading score (470)
• 75th percentile SAT math score (590)
• 75th percentile SAT reading score (570)
• alumni who played in the National Football League (177)
• average January temperature (30.0 degrees)
• dorm capacity (5,500)
• first-year applicants (15,815)
• foreign students (1,732)
• full-time grad students (4,777)
• full-time undergrads (21,118)
• grad students (6,880)
• members of the National Academy of Sciences (0)
• men's basketball Final Four appearances (2)
• Rhodes Scholar alumni (24)
• undergrads (22,827)
• yearly for-credit students (33,896)
• on-campus yearly property crimes per thousand students (0.9)
• students per faculty member (22)
• annual rainfall (43.1 inches)
• diversity and inclusion ratio (0.20)
• elevation (303 meters)

Sources