Stanislaus County Special Education: 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 3 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 7.

3rd The average 3rd grader scores 123 points under the grade 3 bar. 2313 vs. 2436.
6th The average 6th grader scores 25 points under the grade 3 bar. 2411 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 15 points under the grade 3 bar. 2422 vs. 2436. The 7th-grade bar is 2567.

2025 results. "Meets standard" is the state's mark for being on track for that grade.

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
6	96,281	2368.0	− 2552	−184	× 1 / 4	−46
7	96,282	2496.0	− 2567	−71	× 3 / 4	−53.3
Sum, rounded to a whole point						−99

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,304	2292.2	− 2436	−143.8	× 12 / 75	−23
4	89,307	2315.0	− 2485	−170	× 15 / 75	−34
5	89,309	2381.0	− 2528	−147	× 11 / 75	−21.6
7	89,312	2394.8	− 2567	−172.2	× 9 / 75	−20.7
8	89,314	2452.7	− 2586	−133.3	× 17 / 75	−30.2
11	89,316	2326.7	− 2628	−301.3	× 11 / 75	−44.2
Sum, rounded to a whole point						−174

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	91,899	2326.1	− 2528	−201.9	× 14 / 46	−61.4
6	91,900	2384.2	− 2552	−167.8	× 17 / 46	−62
8	91,904	2398.9	− 2586	−187.1	× 15 / 46	−61
Sum, rounded to a whole point						−184

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,091	2345.8	− 2436	−90.2	× 11 / 11	−90.2
Sum, rounded to a whole point						−90

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,732	2350.5	− 2436	−85.5	× 14 / 48	−24.9
4	92,733	2389.2	− 2485	−95.8	× 19 / 48	−37.9
7	92,736	2353.8	− 2567	−213.2	× 15 / 48	−66.6
Sum, rounded to a whole point						−129

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,763	2271.1	− 2436	−164.9	× 16 / 37	−71.3
5	90,765	2318.3	− 2528	−209.7	× 21 / 37	−119
Sum, rounded to a whole point						−190

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,973	2321.6	− 2436	−114.4	× 31 / 48	−73.9
5	92,975	2373.1	− 2528	−154.9	× 17 / 48	−54.9
Sum, rounded to a whole point						−129

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,877	2279.6	− 2436	−156.4	× 25 / 84	−46.5
4	92,878	2331.4	− 2485	−153.6	× 23 / 84	−42.1
5	92,879	2354.6	− 2528	−173.4	× 14 / 84	−28.9
6	92,880	2342.4	− 2552	−209.6	× 11 / 84	−27.4
8	92,882	2334.9	− 2586	−251.1	× 11 / 84	−32.9
Sum, rounded to a whole point						−178

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,757	2285.2	− 2436	−150.8	× 16 / 62	−38.9
4	92,758	2311.5	− 2485	−173.5	× 17 / 62	−47.6
5	92,759	2370.4	− 2528	−157.6	× 16 / 62	−40.7
6	92,760	2324.5	− 2552	−227.5	× 13 / 62	−47.7
Sum, rounded to a whole point						−175

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,493	2313.2	− 2436	−122.8	× 17 / 41	−50.9
6	92,496	2411.4	− 2552	−140.6	× 13 / 41	−44.6
7	92,497	2421.5	− 2567	−145.5	× 11 / 41	−39
Sum, rounded to a whole point						−135

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −99, −174, −184, −90, −129, −190, −129, −178, −175, −135 → −148.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 75 · 2016→2017: 10 · 2017→2018: 94 · 2018→2019: 39 · 2019→2021: 61 · 2021→2022: 61 · 2022→2023: 49 · 2023→2024: 3 · 2024→2025: 40 → average 48
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 48 × 2.66 = 127.7. Upper limit −20.6, lower limit −276.

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.