| Index | Carthage | New York | National |
| Average Test Scores | 52% | 56% | 48% |
| Student/Teacher ratio | n/a | n/a | 16:1 |
| Total public schools | 4 | 4,060 | 79,221 |
| Total private schools | 2 | 1,092 | 24,874 |
| Total post-secondary schools | n/a | 483 | 7,963 |


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| Index | Carthage | New York | National |
| Completed 8th grade | 83.3% | 83.5% | 84.3% |
| Completed high school | 80.7% | 82.1% | 83.0% |
| Completed some college | 50.4% | 59.5% | 59.4% |
| Completed associate degree | 16.8% | 43.4% | 38.5% |
| Completed bachelors | 7.7% | 34.7% | 30.3% |
| Completed masters | 4.1% | 15.1% | 11.5% |
| Completed professional degree | 1.0% | 4.2% | 3.3% |
| Completed doctorate | 0.2% | 1.5% | 1.3% |
There are a total of 4 public schools, 2 private schools and n/a post-secondary schools in Carthage. Using the proficiency score averages, the average test scores for Carthage, NY schools is 52%. The average student to teacher ratio is n/a. In Carthage, NY, an average of 83.3% of students have completed 8th grade and an average of 80.7% have completed high school.
| City | Population | Avg. Test Scores | National Avg. |
| Lowville, NY | 3,442 | 68% | 41.7% |
| Calcium, NY | 3,660 | 67% | 39.6% |
| Philadelphia, NY | 1,231 | 63% | 30.2% |
| Antwerp, NY | 714 | 60% | 25.0% |
| Evans Mills, NY | 460 | 60% | 24.0% |
| Carthage, NY | 3,443 | 52% | 8.6% |
| City | Population | Avg. Test Scores | National Avg. |
| Arbuckle, CA | 3,443 | 38% | 21.9% |
| Lowville, NY | 3,442 | 68% | 41.7% |
| Upland, PA | 3,445 | 20% | 58.3% |
| Keego Harbor, MI | 3,441 | 55% | 13.5% |
| Ely, MN | 3,447 | 57% | 19.1% |
| Carthage, NY | 3,443 | 52% | 8.6% |