Marvin 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 5.

All students

3rd The average 3rd grader meets the grade 3 bar. 2476 vs. 2436.
4th The average 4th grader scores 16 points under the grade 4 bar. 2469 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2550 vs. 2528.

Students fluent in English

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

Grade bars 3rd 47 students Meets the grade 3 bar. 4th 74 students Just under the grade 4 bar.

English learners

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

Grade bars 3rd 21 students Meets the grade 3 bar. 4th 14 students 22 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	31,158	2390.2	− 2436	−45.8	× 153 / 460	−15.2
4	31,159	2447.0	− 2485	−38	× 156 / 460	−12.9
5	31,162	2468.0	− 2528	−60	× 151 / 460	−19.7
Sum, rounded to a whole point						−48

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	29,375	2424.9	− 2436	−11.1	× 159 / 453	−3.9
4	29,377	2457.3	− 2485	−27.7	× 151 / 453	−9.2
5	29,379	2480.1	− 2528	−47.9	× 143 / 453	−15.1
Sum, rounded to a whole point						−28

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	29,941	2410.5	− 2436	−25.5	× 144 / 449	−8.2
4	29,943	2452.5	− 2485	−32.5	× 160 / 449	−11.6
5	29,944	2460.2	− 2528	−67.8	× 145 / 449	−21.9
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	29,990	2425.4	− 2436	−10.6	× 125 / 419	−3.2
4	29,992	2450.3	− 2485	−34.7	× 136 / 419	−11.3
5	29,994	2500.0	− 2528	−28	× 158 / 419	−10.6
Sum, rounded to a whole point						−25

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,163	2418.9	− 2436	−17.1	× 106 / 372	−4.9
4	30,164	2464.5	− 2485	−20.5	× 137 / 372	−7.5
5	30,165	2493.5	− 2528	−34.5	× 129 / 372	−12
Sum, rounded to a whole point						−24

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,194	2379.5	− 2436	−56.5	× 95 / 306	−17.5
4	30,195	2415.1	− 2485	−69.9	× 100 / 306	−22.8
5	30,196	2496.3	− 2528	−31.7	× 111 / 306	−11.5
Sum, rounded to a whole point						−52

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,251	2396.0	− 2436	−40	× 87 / 290	−12
4	30,252	2449.7	− 2485	−35.3	× 100 / 290	−12.2
5	30,253	2479.7	− 2528	−48.3	× 103 / 290	−17.2
Sum, rounded to a whole point						−41

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,117	2437.0	− 2436	1	× 84 / 270	0.3
4	30,118	2442.4	− 2485	−42.6	× 87 / 270	−13.7
5	30,119	2521.3	− 2528	−6.7	× 99 / 270	−2.5
Sum, rounded to a whole point						−16

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	29,978	2432.9	− 2436	−3.1	× 88 / 255	−1.1
4	29,979	2498.1	− 2485	13.1	× 75 / 255	3.9
5	29,980	2482.8	− 2528	−45.2	× 92 / 255	−16.3
Sum, rounded to a whole point						−14

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	29,964	2475.8	− 2436	39.8	× 68 / 229	11.8
4	29,965	2468.8	− 2485	−16.2	× 88 / 229	−6.2
5	29,966	2550.1	− 2528	22.1	× 73 / 229	7
Sum, rounded to a whole point						13

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −48, −28, −42, −25, −24, −52, −41, −16, −14, 13 → −27.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 20 · 2016→2017: 14 · 2017→2018: 17 · 2018→2019: 1 · 2019→2022: 28 · 2022→2023: 11 · 2023→2024: 25 · 2024→2025: 2 · 2025→2026: 27 → average 16.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.1 × 2.66 = 42.8. Upper limit 15.1, lower limit −70.5.

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.