Two solutions:
1. Give your constructor a
throws clause.
2. Do not call
populateList() in the constructor.
Personally, I would recommend the latter. It is usually "not the done thing" for constructors to throw exceptions.
Rather than calling
populateList() in your constructor you could either get the caller to call it specifically after constructing your object, or call it behind-the-scenes the first time your object's getter method is called. This is called lazy construction (lazy, in this case = good).
You might also want to make the
filename a class-level property rather than hard-coding it in your
populateList() method. Perhaps your constructor could accept a
String or File parameter for the filename.