new set

[keannu]

What do you mean by "new set"? Why didn't the writer say a list or a table?

ex)Imagine you are creating a table ranking the world's cities. Is Moscow better than Sydney? Tokyo above Manchester? Better in what respect? They are all vastly different, meeting various human needs in different cultures and climates. But to determine a single ranking, what criteria will you use?
Exactly the same problems arise with world rankings of universities. Each time a new set is published, schools shoot up or down the league tables. But, in the real world, a university's strengths, compared to its international peers, vary only marginally year on year....

[SoothingDave]

A new set of rankings of universities.

[JohnParis]

"Each time a new list is published" is what, I believe, the author intended to say by using the word "set".
I would have said list, not table. To me, a table is a set of facts or figures systematically displayed, especially in columns.