| 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 |
| 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 | 3,329 | 68% | 41.7% |
| Calcium, NY | 3,548 | 67% | 39.6% |
| Philadelphia, NY | 1,196 | 63% | 30.2% |
| Antwerp, NY | 698 | 60% | 25.0% |
| Evans Mills, NY | 449 | 60% | 24.0% |
| Carthage, NY | 3,364 | 52% | 8.6% |
| City | Population | Avg. Test Scores | National Avg. |
| Heyburn, ID | 3,365 | 23% | 52.1% |
| Corunna, MI | 3,363 | 33% | 30.6% |
| Story City, IA | 3,362 | 86% | 78.6% |
| Palmyra, NY | 3,361 | 64% | 33.3% |
| Hoosick Falls, NY | 3,361 | 52% | 7.8% |
| Carthage, NY | 3,364 | 52% | 8.6% |
Here are the best places to live in New York
These are the largest cities in New York
Safest States In The US
These are the 10 cheapest cities in New York