Chances For Admission and Buckeye Scholarship

I am currently an OOS student with a 3.94 GPA. I have not taken any AP classes so a 3.94 is both my weighted and unweighted GPA. My class rank is 24/134 (top 18%). My only extracurricular activities include a part-time job I have had for the last year and a half and one year of JV basketball. My SAT score is a 1370. Is it even worth applying? I would only be able to attend if I am awarded the National Buckeye Scholarship.

Thanks

Your stats put you in range for the Trustees scholarship which stacks with the National Buckeye - so it probably is worth applying.

Will my lack of AP classes and minimal extracurriculars have a negative effect?

Ohio State, as far as I can tell, evaluates on positives (there are no minimum gpas, test scores, class rank, etc.)
Here is their admission criteria:
http://undergrad.osu.edu/apply/freshmen-columbus/who-gets-in

Note the required minimum college prep required classes in the table. Don’t apply if you haven’t met them (most students do, since they are the minimums for many hs diplomas). Does your course load exceed these minimums? Does this describe you?:

"A snapshot of last year’s admitted class
Most exceeded minimum college prep requirements
89% exceeded foreign language requirements
99% exceeded math requirements
91% exceeded natural science requirements

Most ranked in the top of their high school classes
96% ranked in the top quarter
66% ranked in the top 10%

Most performed very well on standardized tests
ACT composite
50% of admitted students scored between 28 and 32
25% scored below 28
25% scored above 32

SAT (Evidence-Based Reading and Writing + Math)
50% of admitted students scored between 1300 and 1430
25% scored below 1300
25% scored above 1430"

There are no guarantees, but they provide plenty of information about the admitted classes.