Hey, I'll be graduating from a small well known liberal arts school at the end of the next spring semester and am planning to go to graduate school in statistics and was wondering if my school list is realistic.

GPA: 3.5

Math GPA: 4.0

GRE

Quant: 163(88th percentile)

Verbal: 159(84th percentile)

Writing: 4.0 (48th percentile)

Time to Degree: 3 years

Random: Work as a calc tutor

Courses Taken(Obviously A's in all): Calc I-III, Diff. EQ, Linear Algebra, Prob and Stat 1 and 2

Courses Left to take: Advanced Stats(multiple linear regression and nonlinear regression),Abstract Algebra, Real Analysis, Discrete Mathematics, Non-Euclidean Geometry, Logic

Schools I plan on Apply too

NC State

UNC Chapel Hill

University of South Carolina(My advisor got her PHD from there)

Georgia State

University of Georgia

East Carolina University

Florida State University

University of Florida

Virginia Tech University

UAV

So, am I shooting for realistic schools or do I need to do something else(Research really isn't an option).