Well, the general opening of the Wikipedia entry is okay, but the facts section is...well...strange. I've offered my thoughts in blue. Please don't take this as "bashing" by any means. I'm just listing my first reactions to what I was reading, and I think many of my sisters would agree.
I truly appreciate that you want to get our information out to the world! That's great

We need more people to hear about our organization. We just need to be careful of accuracy.
So here are my thoughts...
*Beta Sigma Phi is unique from other sororities in that it is purely social. While many chapters may indeed do community service work, there is no requirement to do so.
While Beta Sigma Phi is a social sorority, to say that it is "purely social" is misleading. Maybe "primarily" social. We are not any more social than any other "social sorority."
*Betas enjoy state conventions every year. Each year the sorority has a new theme.
Why are these two points together? Also, sorority members are strongly discouraged from using the nickname "Betas" in any official way. The Book of Beta Sigma Phi clearly says that abbreviation of the sorority name should be avoided. I don't always hold to this rule myself, but I believe that a public statement representing our organization should be more formal.
*Betas are initiated several times. There is the first Nu Phi Mu degree and then several other degrees of membership: Ritual of Jewels, Exemplar, Preceptor, Laureate and Master.
This is incorrect. None of the degree ceremonies are considered "initiations," so it is wrong to say that we are initiated several times. We simply earn progressive degrees of membership.
*The levels of membership are a unique trait to Beta Sigma Phi and members aspire to reach the next level.
*Each level has its own badge and guard.
Each badge does not come with a guard. The old style badges did have guards, but this is no longer the case. Members may purchase guards that reflect their offices.
*The Beta Sigma Phi Badge is usually a large enamel Phi with the Greek letters Beta and Sigma engraved on the left and right respectively. The top of the Phi may resemble a torch.
*Beta Sigma Phi is a sorority and considers itself such.
This just seems to be a strange thing to say. It's called Beta Sigma Phi International Sorority, so why should this statement be made?
*Most chapters are community based, but Beta Sigma Phi as chapters on college campuses, although college is not a requirement to join.
Just a typo...It should say "has chapters" not "as chapters".
*Beta Sigma Phi official colors are Black and Gold.
*The symbol is the Torch.* The magazine is called "The Torch of Beta Sigma Phi"
*Beta Sigma Phi has no official mascot, although a Bumble Bee is often used. The "busy Beta Bees"
I've never heard of the "busy Beta Bees," although my former chapters was partial to the bee. However, the teddy bear is more often used as an unofficial mascot.
*Beta Sigma Phi's official flower is the Yellow Rose.