Marshall (John) Elementary: math

The shaded band is this school's normal range. If nothing about how it works changes, nearly every future year should land inside it. Zero means the typical student just meets the state standard. The small numbers under the years are how many students were tested.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 104 of the 336 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 46 points under the grade 3 bar. 2391 vs. 2436.
4th The average 4th grader scores 10 points under the grade 3 bar. 2426 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 47 points under the grade 4 bar. 2438 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 4 bar. 2477 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 67 students 30 points under the grade 3 bar. 4th 56 students 34 points under the grade 4 bar. 5th 52 students 21 points under the grade 4 bar. 6th 57 students 29 points under the grade 5 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 29 students 81 points under the grade 3 bar. 4th 31 students 56 points under the grade 3 bar. 5th 23 students 58 points under the grade 3 bar. 6th 21 students 17 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

Step 1 · Each year's result

For each grade tested, take the average (mean) scale score from the California Department of Education's results file, and subtract the lowest score that counts as "Standard Met" for that grade. That is the grade's distance from standard. Weight each grade by its share of the students tested, then add the grades up. Grades where the state hides the average because ten or fewer students tested are left out entirely.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,928	2373.8	− 2436	−62.2	× 130 / 474	−17.1
4	47,931	2422.5	− 2485	−62.5	× 115 / 474	−15.2
5	47,932	2428.9	− 2528	−99.1	× 107 / 474	−22.4
6	47,935	2468.2	− 2552	−83.8	× 122 / 474	−21.6
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,596	2391.4	− 2436	−44.6	× 118 / 465	−11.3
4	44,598	2422.2	− 2485	−62.8	× 130 / 465	−17.6
5	44,599	2420.1	− 2528	−107.9	× 112 / 465	−26
6	44,602	2438.2	− 2552	−113.8	× 105 / 465	−25.7
Sum, rounded to a whole point						−81

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,766	2402.1	− 2436	−33.9	× 100 / 482	−7
4	45,769	2422.4	− 2485	−62.6	× 119 / 482	−15.5
5	45,770	2431.2	− 2528	−96.8	× 147 / 482	−29.5
6	45,773	2458.4	− 2552	−93.6	× 116 / 482	−22.5
Sum, rounded to a whole point						−75

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,784	2396.9	− 2436	−39.1	× 91 / 452	−7.9
4	45,785	2433.8	− 2485	−51.2	× 100 / 452	−11.3
5	45,788	2433.4	− 2528	−94.6	× 123 / 452	−25.7
6	45,790	2464.5	− 2552	−87.5	× 138 / 452	−26.7
Sum, rounded to a whole point						−72

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,965	2407.9	− 2436	−28.1	× 111 / 412	−7.6
4	45,966	2438.1	− 2485	−46.9	× 83 / 412	−9.4
5	45,967	2445.1	− 2528	−82.9	× 101 / 412	−20.3
6	45,968	2469.6	− 2552	−82.4	× 117 / 412	−23.4
Sum, rounded to a whole point						−61

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,783	2381.9	− 2436	−54.1	× 88 / 388	−12.3
4	45,784	2424.0	− 2485	−61	× 89 / 388	−14
5	45,785	2431.1	− 2528	−96.9	× 101 / 388	−25.2
6	45,786	2470.4	− 2552	−81.6	× 110 / 388	−23.1
Sum, rounded to a whole point						−75

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,765	2386.7	− 2436	−49.3	× 87 / 365	−11.8
4	45,766	2415.9	− 2485	−69.1	× 87 / 365	−16.5
5	45,767	2444.0	− 2528	−84	× 88 / 365	−20.3
6	45,768	2463.1	− 2552	−88.9	× 103 / 365	−25.1
Sum, rounded to a whole point						−74

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,624	2390.2	− 2436	−45.8	× 91 / 363	−11.5
4	45,625	2399.8	− 2485	−85.2	× 91 / 363	−21.4
5	45,626	2418.2	− 2528	−109.8	× 94 / 363	−28.4
6	45,627	2465.1	− 2552	−86.9	× 87 / 363	−20.8
Sum, rounded to a whole point						−82

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,378	2381.2	− 2436	−54.8	× 95 / 358	−14.5
4	45,379	2427.8	− 2485	−57.2	× 82 / 358	−13.1
5	45,380	2435.5	− 2528	−92.5	× 86 / 358	−22.2
6	45,381	2448.4	− 2552	−103.6	× 95 / 358	−27.5
Sum, rounded to a whole point						−77

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,272	2390.5	− 2436	−45.5	× 96 / 336	−13
4	45,273	2425.9	− 2485	−59.1	× 87 / 336	−15.3
5	45,274	2437.9	− 2528	−90.1	× 75 / 336	−20.1
6	45,275	2477.2	− 2552	−74.8	× 78 / 336	−17.4
Sum, rounded to a whole point						−66

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −81, −75, −72, −61, −75, −74, −82, −77, −66 → −73.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 6 · 2017→2018: 3 · 2018→2019: 11 · 2019→2022: 14 · 2022→2023: 1 · 2023→2024: 8 · 2024→2025: 5 · 2025→2026: 11 → average 7.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.1 × 2.66 = 18.9. Upper limit −55, lower limit −92.8.

Why 2.66? It is the standard factor from quality control, the work of Walter Shewhart and W. Edwards Deming. It turns "how much the result typically changes in a year" into "how far it can wander by chance alone".

Years with no result (no state tests were given in spring 2020) are skipped: the year-to-year change runs from the last year with a result to the next one.

Step 3 · Free or reduced-price meals

The share of enrolled students eligible for free or reduced-price meals. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.