So, the problem with aggregating rankings is that aggregating can actually blur distinctions and hide blemishes. Here are some examples, from my two alma maters:
For UChicago, if you look at traditional “academic prestige/brainy-ness” rankings, here’s what you have:
US News: #3
Times World Rankings (that emphasize nobel prize wins): #10
Business Insider “Smartest” Colleges: #2
Average rank for academic prestige/smarts: #3
For UChicago OUTCOMES:
Washington Monthly (emphasizes outcomes for students lower on socioeconomic scale): #92
WSJ/THE Ranking (mixes outcomes with academic prestige): #13
Forbes Ranking (outcome based): #20
Money College Rankings (emphasizes good education AND good outcomes): #83
Average rank for outcomes: #52
For U. of Penn, if you look at traditional “academic prestige/brainy-ness” rankings, here’s what you have:
US News: #8
Times World Rankings (emphasizing nobel prize wins): #16
Business Insider “Smartest” Colleges: #17
Average rank for academic prestige/smarts: #14
For UPenn OUTCOMES:
Washington Monthly (emphasizes outcomes for students lower on socioeconomic scale): #5
WSJ/THE Ranking (mixes outcomes with academic prestige): #4
Forbes Ranking (outcome based): #11
Money College Rankings (emphasizes good education AND good outcomes): #26
Average rank for outcomes: #12
So, as seen in the above, it’s important to separate rankings - NOT aggregate them together. If you aggregate Chicago’s rank, it comes out as #19. That does NOT show you just how pointy the school is - it’s at the tippy top for academic prestige/smarts, but actually quite poor for monetary outcomes, elevating those from lower socioeconomic backgrounds, etc.
Similarly, while Penn is less pointy than Chicago, looking at the full range of rankings paints a good picture of the school. It attracts smart students (but perhaps not students as “pointy” as the ones you’d find at Chicago or MIT), and it provides excellent monetary outcomes.
If you aggregate rankings, you wouldn’t see those contours of each school. An aggregate rank in the teens for Chicago doesn’t show you just how pointy it is - and, similarly, for Penn, it’s interesting to note that it’s at the tippy top for monetary outcomes, and very good (but not at the tippy top) for smarts/academic prestige. For those interested in the brainiest school, Penn95’s aggregate ranking of Penn at #6 might be a bit misleading. Similarly, @Penn95 had Chicago at either #13 or #10 on the aggregate rank. That doesn’t accurately emphasize how the monetary outcomes at Chicago are lacking.
Having gone to both schools, I think looking at the full array of rankings actually can paint a decent picture of school atmosphere. It’s not perfect, of course, but also not as obfuscating as aggregating rankings.