| Index | New Square | New York | National |
| Average Test Scores | n/a | 56% | 48% |
| Student/Teacher ratio | n/a | n/a | 16:1 |
| Total public schools | n/a | 4,060 | 79,221 |
| Total private schools | 1 | 1,092 | 24,874 |
| Total post-secondary schools | n/a | 483 | 7,963 |
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| Index | New Square | New York | National |
| Completed 8th grade | 72.7% | 83.5% | 84.3% |
| Completed high school | 70.2% | 82.1% | 83.0% |
| Completed some college | 13.7% | 59.5% | 59.4% |
| Completed associate degree | 5.2% | 43.4% | 38.5% |
| Completed bachelors | 3.9% | 34.7% | 30.3% |
| Completed masters | 1.0% | 15.1% | 11.5% |
| Completed professional degree | 0.0% | 4.2% | 3.3% |
| Completed doctorate | 0.0% | 1.5% | 1.3% |
There are a total of n/a public schools, 1 private schools and n/a post-secondary schools in New Square. Using the proficiency score averages, the average test scores for New Square, NY schools is n/a. The average student to teacher ratio is n/a. In New Square, NY, an average of 72.7% of students have completed 8th grade and an average of 70.2% have completed high school.
| City | Population | Avg. Test Scores | National Avg. |
| Orangeburg, NY | 4,454 | 98% | 103.1% |
| Shrub Oak, NY | 3,094 | 97% | 102.1% |
| Fort Montgomery, NY | 1,867 | 94% | 94.8% |
| Bronxville, NY | 6,450 | 88% | 82.3% |
| Scarsdale, NY | 17,890 | 87% | 81.8% |
| New Square, NY | 8,589 | n/a |
| City | Population | Avg. Test Scores | National Avg. |
| Shiprock, NM | 8,588 | 19% | 60.4% |
| Bayport, NY | 8,584 | 71% | 48.2% |
| Independence, KS | 8,595 | 36% | 26.0% |
| Richmond Heights, MO | 8,581 | 50% | 3.1% |
| Harrisburg, IL | 8,578 | 21% | 57.3% |
| New Square, NY | 8,589 | n/a |
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