Bad signs in a department for PhD Is it a bad sign in a department if most of those who do their thesis in that department also did their undergraduate studies there and most of those who get their PhD there either


are employed in said university 


or more often than that


find themselves outside of academia roughly within 5 years after defense?


EDIT: The department is a European mathematics department. It is mostly focused on teaching. There are (maybe?) roughly 10-20 PhD students. The department has been around from 1959 I think. The country in question has a handful of universities.
I agree that this is generally a bad sign, especially your number 2, but I would add a "but" to this answer.

When the language used for teaching at the University is not English, situation number 1 can arise. Some department have a hard time recruiting and keeping researchers that are willing to learn a second language and teach in it.

Another way to evaluate the quality of the department would be to look at the collaboration they have with other institutions and the scientific literature they produce (among other things).