Williams Junior/Senior High: 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 11.

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, 83 of the 267 students who took the math test were English learners.

All students

7th The average 7th grader scores 43 points under the grade 4 bar. 2442 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2430 vs. 2436. The 8th-grade bar is 2586.
11th The average 11th grader scores 31 points under the grade 4 bar. 2454 vs. 2485. The 11th-grade bar is 2628.

Students fluent in English

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

Grade bars 7th 63 students 36 points under the grade 4 bar. 8th 52 students 17 points under the grade 4 bar. 11th 69 students 16 points 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 7th 32 students Just under the grade 3 bar. 8th 30 students 73 points under the grade 3 bar. 11th 21 students 32 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
7	5,724	2525.3	− 2567	−41.7	× 83 / 243	−14.2
8	5,725	2485.4	− 2586	−100.6	× 81 / 243	−33.5
11	5,728	2504.7	− 2628	−123.3	× 79 / 243	−40.1
Sum, rounded to a whole point						−88

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,188	2478.8	− 2567	−88.2	× 88 / 260	−29.9
8	5,190	2534.7	− 2586	−51.3	× 88 / 260	−17.4
11	5,193	2552.7	− 2628	−75.3	× 84 / 260	−24.3
Sum, rounded to a whole point						−72

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,294	2471.9	− 2567	−95.1	× 78 / 254	−29.2
8	5,296	2482.1	− 2586	−103.9	× 88 / 254	−36
11	5,298	2530.4	− 2628	−97.6	× 88 / 254	−33.8
Sum, rounded to a whole point						−99

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,299	2481.6	− 2567	−85.4	× 106 / 271	−33.4
8	5,300	2455.3	− 2586	−130.7	× 89 / 271	−42.9
11	5,303	2489.5	− 2628	−138.5	× 76 / 271	−38.8
Sum, rounded to a whole point						−115

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,342	2478.4	− 2567	−88.6	× 102 / 290	−31.2
8	5,343	2469.6	− 2586	−116.4	× 107 / 290	−42.9
11	5,344	2549.4	− 2628	−78.6	× 81 / 290	−22
Sum, rounded to a whole point						−96

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,179	2438.3	− 2567	−128.7	× 103 / 311	−42.6
8	5,180	2425.8	− 2586	−160.2	× 115 / 311	−59.2
11	5,181	2452.6	− 2628	−175.4	× 93 / 311	−52.5
Sum, rounded to a whole point						−154

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,181	2442.1	− 2567	−124.9	× 100 / 295	−42.3
8	5,182	2420.0	− 2586	−166	× 106 / 295	−59.6
11	5,183	2511.8	− 2628	−116.2	× 89 / 295	−35.1
Sum, rounded to a whole point						−137

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,116	2441.1	− 2567	−125.9	× 91 / 272	−42.1
8	5,117	2444.2	− 2586	−141.8	× 100 / 272	−52.1
11	5,118	2478.6	− 2628	−149.4	× 81 / 272	−44.5
Sum, rounded to a whole point						−139

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,080	2459.9	− 2567	−107.1	× 83 / 256	−34.7
8	5,081	2469.1	− 2586	−116.9	× 85 / 256	−38.8
11	5,082	2468.6	− 2628	−159.4	× 88 / 256	−54.8
Sum, rounded to a whole point						−128

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	5,076	2441.7	− 2567	−125.3	× 95 / 267	−44.6
8	5,077	2429.8	− 2586	−156.2	× 82 / 267	−48
11	5,078	2453.6	− 2628	−174.4	× 90 / 267	−58.8
Sum, rounded to a whole point						−151

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −88, −72, −99, −115, −96, −154, −137, −139, −128, −151 → −117.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 16 · 2016→2017: 27 · 2017→2018: 16 · 2018→2019: 19 · 2019→2022: 58 · 2022→2023: 17 · 2023→2024: 2 · 2024→2025: 11 · 2025→2026: 23 → average 21
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 21 × 2.66 = 55.9. Upper limit −62, lower limit −173.8.

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.