A higher degree in my mind is anything beyond a high school diploma. These days, that diploma is almost always a minimum requirement for a technology job. There are just too many applicants that have that and more.
A Higher Degree Sets a Baseline
A degree is a great way to raise the ceiling for your career, but it also is a way to lift the floor. In fact, a college degree can be a path to avoiding some steps of the ladder climbing required in any career. These rungs may be skipping out on years at a help desk, mindless coding jobs, or other standard entry-level tasks. In my case, I was even able to skip a company-sponsored month of learning how to code.
Types of Degrees
The bulk of this episode is spent examining the types of degrees you can pursue. We also look at a general degree as opposed to one that has a tighter focus. There are arguments on both sides of these. However, that does not mean either choice is good (or bad). Your specific situation will point towards the type and focus of degrees to pursue.