Final answer:
Without additional context, it's not possible to list the degrees of Beta Sigma Phi. This seems to reference an internal system not publicly documented. Contacting the sorority directly or accessing official information may be necessary for specific details.
Step-by-step explanation:
The question pertains to the organization Beta Sigma Phi, which is a non-academic sorority with members of all ages and educational backgrounds. This sorority has a structured program of cultural and social advancement organized into several degrees.
Unfortunately, without further context, it is not possible to provide a list of the degrees of Beta Sigma Phi in order, as the question seems to be specifically about a proprietary or internal ranking or achievement system that is not publicly documented in a way that is accessible as of my knowledge cutoff in 2023. If this is regarding an academic or statistical analysis question, such as comparing mean grades among sororities using a significance level, then the necessary degrees might refer to statistical degrees of freedom or other measures rather than an ordinal ranking within an organization. For detailed information about specific programs or degrees within the organization, direct contact with Beta Sigma Phi or accessing their official information might be necessary.