| Index | Hanover | New Mexico | National |
| Average Test Scores | n/a | 27% | 48% |
| Student/Teacher ratio | n/a | 15:1 | 16:1 |
| Total public schools | n/a | 667 | 79,221 |
| Total private schools | n/a | 163 | 24,874 |
| Total post-secondary schools | n/a | 55 | 7,963 |

| Index | Hanover | New Mexico | National |
| Completed 8th grade | 92.1% | 81.4% | 84.3% |
| Completed high school | 92.1% | 80.0% | 83.0% |
| Completed some college | 50.8% | 58.2% | 59.4% |
| Completed associate degree | 11.1% | 34.7% | 38.5% |
| Completed bachelors | 11.1% | 26.7% | 30.3% |
| Completed masters | 11.1% | 11.6% | 11.5% |
| Completed professional degree | 0.0% | 3.4% | 3.3% |
| Completed doctorate | 0.0% | 1.8% | 1.3% |
There are a total of n/a public schools, n/a private schools and n/a post-secondary schools in Hanover. Using the proficiency score averages, the average test scores for Hanover, NM schools is n/a. The average student to teacher ratio is n/a. In Hanover, NM, an average of 92.1% of students have completed 8th grade and an average of 92.1% have completed high school.
| City | Population | Avg. Test Scores | National Avg. |
| San Lorenzo, NM | 155 | 55% | 14.6% |
| Silver City, NM | 9,895 | 30% | 37.7% |
| Santa Clara, NM | 1,756 | 27% | 43.8% |
| Hurley, NM | 1,427 | 25% | 49.0% |
| Bayard, NM | 2,508 | 20% | 58.0% |
| Hanover, NM | 158 | n/a |
| City | Population | Avg. Test Scores | National Avg. |
| Power, MT | 158 | 53% | 9.4% |
| Hastings, IA | 157 | 77% | 60.4% |
| Stuart, OK | 157 | 29% | 40.6% |
| Kobuk, AK | 157 | 20% | 58.3% |
| Koshkonong, MO | 157 | 24% | 51.0% |
| Hanover, NM | 158 | n/a |