| Index | Melbourne | Arkansas | National |
| Average Test Scores | 60% | 45% | 48% |
| Student/Teacher ratio | 13:1 | 14:1 | 16:1 |
| Total public schools | 2 | 860 | 79,221 |
| Total private schools | n/a | 165 | 24,874 |
| Total post-secondary schools | 1 | 98 | 7,963 |

| Index | Melbourne | Arkansas | National |
| Completed 8th grade | 83.4% | 80.7% | 84.3% |
| Completed high school | 81.1% | 79.0% | 83.0% |
| Completed some college | 46.9% | 50.5% | 59.4% |
| Completed associate degree | 26.8% | 27.9% | 38.5% |
| Completed bachelors | 17.9% | 21.5% | 30.3% |
| Completed masters | 2.9% | 7.6% | 11.5% |
| Completed professional degree | 0.0% | 2.2% | 3.3% |
| Completed doctorate | 0.0% | 0.9% | 1.3% |
There are a total of 2 public schools, n/a private schools and 1 post-secondary schools in Melbourne. Using the proficiency score averages, the average test scores for Melbourne, AR schools is 60%. The average student to teacher ratio is 13:1. In Melbourne, AR, an average of 83.4% of students have completed 8th grade and an average of 81.1% have completed high school.
| City | Population | Avg. Test Scores | National Avg. |
| Calico Rock, AR | 2,428 | 53% | 10.9% |
| Mountain View, AR | 2,946 | 53% | 10.1% |
| Melbourne, AR | 1,710 | 60% | 24.0% |
| City | Population | Avg. Test Scores | National Avg. |
| Smethport, PA | 1,710 | 44% | 7.8% |
| Hollis, OK | 1,709 | 24% | 50.3% |
| Gallatin, MO | 1,709 | 45% | 6.9% |
| Caddo Mills, TX | 1,708 | 64% | 33.3% |
| Bridgeport, OH | 1,712 | 63% | 30.6% |
| Melbourne, AR | 1,710 | 60% | 24.0% |