It's hard to give you an exact number here. Generally, I would say you need higher than 160 if you are not a URM. How much higher depends on several things. Here are the variables I believe you should consider in order to best assess your chances (at FSU or anywhere else):
1) Strength of undergraduate institution and/or curriculum. While I do not believe these factors are necessarily weighted fairly/objectively, you need to consider how they will be viewed by Adcomms in assessing your candidacy (especially if your GPA/LSAT index is on the border).
2) Regarding GPA, make sure to consider the GPA calculated by LSAC (could be higher or lower).
3) URM status or lack thereof. While I cannot be certain, I would estimate that a URM, with a 3.1 from a decent school, with a respected courseload, and no aberrations that would preclude admission might only need a 155.
Unfortunately, admissions decisions are largely a function of a GPA/LSAT weighted index (see law school numbers) and if there are any considerations that you believe need to be taken into account, they can be difficult hurdles (a hurdle I faced was a 12-point jump in my LSAT score -- people will no longer have this problems with the new reporting standard, however). Regardless, it's up to you to position all relevant facts to be considered in the most positive light (like an attorney).
I will answer any questions on the process, as I would have saved a lot of time and energy had I been more informed.