Willis H. Warner Middle: 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 8.

All students

6th The average 6th grader scores 19 points under the grade 6 bar. 2533 vs. 2552.
7th The average 7th grader scores 17 points under the grade 6 bar. 2535 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 12 points under the grade 7 bar. 2555 vs. 2567. The 8th-grade bar is 2586.

Students fluent in English

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

Grade bars 6th 154 students Meets the grade 6 bar. 7th 217 students Meets the grade 7 bar. 8th 258 students Meets the grade 8 bar.

English learners

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

Grade bars 6th 39 students 19 points under the grade 3 bar. 7th 86 students 17 points under the grade 3 bar. 8th 64 students 16 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
6	52,374	2527.6	− 2552	−24.4	× 259 / 1052	−6
7	52,377	2554.1	− 2567	−12.9	× 413 / 1052	−5.1
8	52,378	2583.1	− 2586	−2.9	× 380 / 1052	−1
Sum, rounded to a whole point						−12

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	48,675	2538.2	− 2552	−13.8	× 253 / 1097	−3.2
7	48,677	2562.7	− 2567	−4.3	× 421 / 1097	−1.7
8	48,679	2573.8	− 2586	−12.2	× 423 / 1097	−4.7
Sum, rounded to a whole point						−10

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,996	2525.1	− 2552	−26.9	× 263 / 1119	−6.3
7	49,997	2564.4	− 2567	−2.6	× 428 / 1119	−1
8	49,999	2581.3	− 2586	−4.7	× 428 / 1119	−1.8
Sum, rounded to a whole point						−9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	50,011	2532.0	− 2552	−20	× 256 / 1057	−4.8
7	50,013	2552.0	− 2567	−15	× 396 / 1057	−5.6
8	50,015	2580.7	− 2586	−5.3	× 405 / 1057	−2
Sum, rounded to a whole point						−12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	50,206	2531.1	− 2552	−20.9	× 271 / 1071	−5.3
7	50,207	2569.7	− 2567	2.7	× 387 / 1071	1
8	50,208	2559.1	− 2586	−26.9	× 413 / 1071	−10.4
Sum, rounded to a whole point						−15

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	50,116	2514.4	− 2552	−37.6	× 185 / 931	−7.5
7	50,117	2545.1	− 2567	−21.9	× 372 / 931	−8.8
8	50,118	2565.0	− 2586	−21	× 374 / 931	−8.4
Sum, rounded to a whole point						−25

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	50,076	2521.4	− 2552	−30.6	× 191 / 867	−6.7
7	50,077	2536.3	− 2567	−30.7	× 296 / 867	−10.5
8	50,078	2566.5	− 2586	−19.5	× 380 / 867	−8.5
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,931	2505.8	− 2552	−46.2	× 194 / 807	−11.1
7	49,932	2558.8	− 2567	−8.2	× 312 / 807	−3.2
8	49,933	2578.6	− 2586	−7.4	× 301 / 807	−2.8
Sum, rounded to a whole point						−17

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,687	2521.9	− 2552	−30.1	× 177 / 823	−6.5
7	49,688	2534.4	− 2567	−32.6	× 331 / 823	−13.1
8	49,689	2589.8	− 2586	3.8	× 315 / 823	1.5
Sum, rounded to a whole point						−18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,564	2533.2	− 2552	−18.8	× 193 / 818	−4.4
7	49,565	2535.4	− 2567	−31.6	× 303 / 818	−11.7
8	49,566	2554.6	− 2586	−31.4	× 322 / 818	−12.4
Sum, rounded to a whole point						−29

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −12, −10, −9, −12, −15, −25, −26, −17, −18, −29 → −17.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 1 · 2017→2018: 3 · 2018→2019: 3 · 2019→2022: 10 · 2022→2023: 1 · 2023→2024: 9 · 2024→2025: 1 · 2025→2026: 11 → average 4.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.6 × 2.66 = 12.2. Upper limit −5.1, lower limit −29.5.

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.