Skip to main content

Study Reveals Student Quantile Norms by Grade Level

Students get a Quantile measure from a mathematics state test or another standardized test. Use our national student norms data below to see where students score compared to the 50th to 90th percentile for each grade.

50th to 90th Percentile Student Quantile Measure Norms for Math by Grade

Grade   End-of-Year Student Measures, 50th to 90th Percentile
1 120Q to 385Q
2 310Q to 565Q
3 470Q to 720Q
4 615Q to 860Q
5 715Q to 960Q
6 820Q to 1065Q
7 910Q to 1155Q
8 985Q to 1230Q
9 1055Q to 1300Q
10 1115Q to 1360Q
11 & 12 1170Q to 1415Q

These student norms are based on a MetaMetrics’ study that included a sample of over 3 million students across the United States who were administered tests that reported Quantile measures from 2010 to 2016. The Quantile student measure ranges show the 50th through 90th percentiles by grade level for spring testing

What Are the Differences Between Percentiles and Performance Standards?

Percentiles or norms describe what is normal or typical, usually for a large sample of a population. Grade-level norms describe how students actually performed on assessments resulting in Quantile measures.

Performance standards are set by states and assessment developers. Labels such as “basic” or “proficient” are often applied to each standard. Quantile measures can be aligned with state performance standards to show a student’s math ability as it relates to a state’s grade-level expectations. 

The typical or mid-point of student norms is not the same as achieving the grade-level performance standard. Often only the top one third of students meet grade-level performance standards. So, a student at the 50th percentile could be both “typical” and also “not meeting grade-level performance standards”.

What About College and Career Readiness?

Other MetaMetrics studies looked at the mathematics demand found in elementary through high school textbooks as well as in college and careers. See our Quantile Lesson Measure Ranges for College and Career Readiness chart.

See the Chart