Cal State Bakersfield, one of the 23 schools in the California State University System, accepts around 70% of all applicants, and students with decent grades and average test scores should have little difficulty getting in. 

Cal State Bakersfield GPA, SAT and ACT Graph

CSUB, Cal State Bakersfield GPA, SAT and ACT Data for Admission
CSUB, Cal State Bakersfield GPA, SAT Scores and ACT Scores for Admission. Data courtesy of Cappex.

Discussion of Cal State Bakersfield's Admissions Standards:

In the graph above, the green and blue dots represent accepted students. The majority of students who got in had GPAs over 2.75, SAT scores (RW+M) of 900 or higher, and ACT scores of 17 or higher. However, note that there are a few spots of red (rejected students) in the middle of the graph. Some students with grades and test scores on target for CSUB still get rejected.

Unlike the University of California System, the California State University admission process is not holistic. Except for EOP students, applicants do not need to submit letters of recommendation or an application essay, and extracurricular involvement is not part of the standard application. Thus, the reason why an applicant with adequate scores and grades would be rejected tends to come down to a couple factors such as insufficient college preparatory classes or an incomplete application.

To learn more about the California State University at Bakersfield, high school GPAs, SAT scores and ACT scores, these articles can help:

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GPA, SAT and ACT Graphs for Admission to Other Cal State Campuses