Samuel Vaughn 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, 90 of the 282 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 33 points under the grade 3 bar. 2403 vs. 2436.
4th The average 4th grader scores 43 points under the grade 4 bar. 2442 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2477 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 5 bar. 2519 vs. 2528. 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 40 students 27 points under the grade 3 bar. 4th 37 students 22 points under the grade 4 bar. 5th 60 students Just under the grade 4 bar. 6th 55 students Meets the grade 6 bar.

English learners

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

Grade bars 3rd 28 students 42 points under the grade 3 bar. 4th 28 students 22 points under the grade 3 bar. 5th 19 students 32 points under the grade 4 bar. 6th 15 students 42 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	96,467	2428.3	− 2436	−7.7	× 92 / 369	−1.9
4	96,468	2441.5	− 2485	−43.5	× 95 / 369	−11.2
5	96,471	2452.8	− 2528	−75.2	× 92 / 369	−18.7
6	96,472	2535.4	− 2552	−16.6	× 90 / 369	−4
Sum, rounded to a whole point						−36

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,506	2425.2	− 2436	−10.8	× 72 / 357	−2.2
4	89,508	2439.2	− 2485	−45.8	× 96 / 357	−12.3
5	89,510	2479.3	− 2528	−48.7	× 95 / 357	−13
6	89,512	2531.1	− 2552	−20.9	× 94 / 357	−5.5
Sum, rounded to a whole point						−33

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,112	2420.5	− 2436	−15.5	× 95 / 368	−4
4	92,115	2429.8	− 2485	−55.2	× 83 / 368	−12.5
5	92,117	2449.3	− 2528	−78.7	× 95 / 368	−20.3
6	92,118	2532.8	− 2552	−19.2	× 95 / 368	−5
Sum, rounded to a whole point						−42

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,313	2433.6	− 2436	−2.4	× 72 / 354	−0.5
4	92,315	2442.5	− 2485	−42.5	× 94 / 354	−11.3
5	92,318	2454.3	− 2528	−73.7	× 92 / 354	−19.2
6	92,319	2505.7	− 2552	−46.3	× 96 / 354	−12.6
Sum, rounded to a whole point						−43

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,959	2437.1	− 2436	1.1	× 96 / 364	0.3
4	92,960	2442.6	− 2485	−42.4	× 79 / 364	−9.2
5	92,961	2464.3	− 2528	−63.7	× 96 / 364	−16.8
6	92,962	2503.8	− 2552	−48.2	× 93 / 364	−12.3
Sum, rounded to a whole point						−38

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,196	2397.8	− 2436	−38.2	× 92 / 341	−10.3
4	93,197	2423.4	− 2485	−61.6	× 85 / 341	−15.4
5	93,198	2435.8	− 2528	−92.2	× 71 / 341	−19.2
6	93,199	2496.8	− 2552	−55.2	× 93 / 341	−15.1
Sum, rounded to a whole point						−60

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,096	2411.2	− 2436	−24.8	× 71 / 324	−5.4
4	93,097	2415.9	− 2485	−69.1	× 94 / 324	−20
5	93,098	2450.0	− 2528	−78	× 81 / 324	−19.5
6	93,099	2466.7	− 2552	−85.3	× 78 / 324	−20.5
Sum, rounded to a whole point						−66

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,979	2400.0	− 2436	−36	× 71 / 330	−7.7
4	92,980	2439.2	− 2485	−45.8	× 77 / 330	−10.7
5	92,981	2449.3	− 2528	−78.7	× 93 / 330	−22.2
6	92,982	2473.8	− 2552	−78.2	× 89 / 330	−21.1
Sum, rounded to a whole point						−62

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,711	2407.1	− 2436	−28.9	× 66 / 309	−6.2
4	92,712	2437.1	− 2485	−47.9	× 80 / 309	−12.4
5	92,713	2499.8	− 2528	−28.2	× 71 / 309	−6.5
6	92,714	2457.3	− 2552	−94.7	× 92 / 309	−28.2
Sum, rounded to a whole point						−53

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,315	2403.0	− 2436	−33	× 68 / 282	−8
4	92,316	2442.1	− 2485	−42.9	× 65 / 282	−9.9
5	92,317	2477.0	− 2528	−51	× 79 / 282	−14.3
6	92,318	2519.1	− 2552	−32.9	× 70 / 282	−8.2
Sum, rounded to a whole point						−40

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −36, −33, −42, −43, −38, −60, −66, −62, −53, −40 → −47.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 9 · 2017→2018: 1 · 2018→2019: 5 · 2019→2022: 22 · 2022→2023: 6 · 2023→2024: 4 · 2024→2025: 9 · 2025→2026: 13 → average 8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8 × 2.66 = 21.3. Upper limit −26, lower limit −68.6.

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.