| Index | Barnhill | Ohio | National |
| Average Test Scores | n/a | 61% | 48% |
| Student/Teacher ratio | n/a | 17:1 | 16:1 |
| Total public schools | n/a | 3,650 | 79,221 |
| Total private schools | n/a | 1,000 | 24,874 |
| Total post-secondary schools | n/a | 393 | 7,963 |

| Index | Barnhill | Ohio | National |
| Completed 8th grade | 73.7% | 86.9% | 84.3% |
| Completed high school | 72.2% | 85.6% | 83.0% |
| Completed some college | 17.0% | 55.7% | 59.4% |
| Completed associate degree | 6.3% | 35.1% | 38.5% |
| Completed bachelors | 0.7% | 26.7% | 30.3% |
| Completed masters | 0.0% | 10.0% | 11.5% |
| Completed professional degree | 0.0% | 2.7% | 3.3% |
| Completed doctorate | 0.0% | 1.1% | 1.3% |
There are a total of n/a public schools, n/a private schools and n/a post-secondary schools in Barnhill. Using the proficiency score averages, the average test scores for Barnhill, OH schools is n/a. The average student to teacher ratio is n/a. In Barnhill, OH, an average of 73.7% of students have completed 8th grade and an average of 72.2% have completed high school.
| City | Population | Avg. Test Scores | National Avg. |
| Bolivar, OH | 1,117 | 86% | 78.1% |
| Port Washington, OH | 529 | 82% | 70.8% |
| Dundee, OH | 668 | 81% | 68.8% |
| Sugarcreek, OH | 2,253 | 78% | 61.5% |
| Dennison, OH | 2,604 | 76% | 57.3% |
| Barnhill, OH | 634 | n/a |
| City | Population | Avg. Test Scores | National Avg. |
| La Crosse, VA | 634 | 80% | 65.6% |
| Stuart, NE | 634 | 63% | 30.2% |
| Dansville, MI | 633 | 46% | 5.2% |
| Luthersville, GA | 633 | 20% | 59.4% |
| Bobtown, PA | 633 | 70% | 44.8% |
| Barnhill, OH | 634 | n/a |