J. X. Wilson 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.

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	95,844	2398.7	− 2436	−37.3	× 77 / 297	−9.7
4	95,846	2456.1	− 2485	−28.9	× 74 / 297	−7.2
5	95,848	2479.2	− 2528	−48.8	× 84 / 297	−13.8
6	95,850	2517.7	− 2552	−34.3	× 62 / 297	−7.2
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,945	2407.0	− 2436	−29	× 83 / 304	−7.9
4	88,948	2468.3	− 2485	−16.7	× 72 / 304	−4
5	88,949	2501.8	− 2528	−26.2	× 72 / 304	−6.2
6	88,951	2510.5	− 2552	−41.5	× 77 / 304	−10.5
Sum, rounded to a whole point						−29

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,502	2432.1	− 2436	−3.9	× 92 / 299	−1.2
4	91,504	2458.6	− 2485	−26.4	× 77 / 299	−6.8
5	91,507	2489.3	− 2528	−38.7	× 66 / 299	−8.5
6	91,509	2518.5	− 2552	−33.5	× 64 / 299	−7.2
Sum, rounded to a whole point						−24

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,701	2433.8	− 2436	−2.2	× 67 / 293	−0.5
4	91,704	2469.9	− 2485	−15.1	× 90 / 293	−4.6
5	91,705	2471.8	− 2528	−56.2	× 77 / 293	−14.8
6	91,708	2528.1	− 2552	−23.9	× 59 / 293	−4.8
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	92,346	2446.7	− 2436	10.7	× 64 / 277	2.5
4	92,347	2465.3	− 2485	−19.7	× 72 / 277	−5.1
5	92,348	2485.9	− 2528	−42.1	× 82 / 277	−12.5
6	92,349	2534.2	− 2552	−17.8	× 59 / 277	−3.8
Sum, rounded to a whole point						−19

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,604	2433.3	− 2436	−2.7	× 59 / 232	−0.7
4	92,605	2438.2	− 2485	−46.8	× 48 / 232	−9.7
5	92,606	2455.3	− 2528	−72.7	× 62 / 232	−19.4
6	92,607	2516.8	− 2552	−35.2	× 63 / 232	−9.6
Sum, rounded to a whole point						−39

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,510	2398.8	− 2436	−37.2	× 56 / 203	−10.3
4	92,511	2459.6	− 2485	−25.4	× 54 / 203	−6.8
5	92,512	2454.9	− 2528	−73.1	× 44 / 203	−15.8
6	92,513	2493.7	− 2552	−58.3	× 49 / 203	−14.1
Sum, rounded to a whole point						−47

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,405	2408.1	− 2436	−27.9	× 43 / 185	−6.5
4	92,406	2442.3	− 2485	−42.7	× 57 / 185	−13.2
5	92,407	2482.0	− 2528	−46	× 54 / 185	−13.4
6	92,408	2523.3	− 2552	−28.7	× 31 / 185	−4.8
Sum, rounded to a whole point						−38

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,129	2427.6	− 2436	−8.4	× 38 / 176	−1.8
4	92,130	2446.5	− 2485	−38.5	× 43 / 176	−9.4
5	92,131	2432.4	− 2528	−95.6	× 56 / 176	−30.4
6	92,132	2498.5	− 2552	−53.5	× 39 / 176	−11.9
Sum, rounded to a whole point						−53

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −29, −24, −25, −19, −39, −47, −38, −53 → −34.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 5 · 2017→2018: 1 · 2018→2019: 6 · 2019→2022: 20 · 2022→2023: 8 · 2023→2024: 9 · 2024→2025: 15 → average 9.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.1 × 2.66 = 24.2. Upper limit −10.5, lower limit −58.9.

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.