Emma 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.

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.

3rd The average 3rd grader scores 13 points under the grade 3 bar. 2423 vs. 2436.
4th The average 4th grader scores 18 points under the grade 4 bar. 2467 vs. 2485.
5th The average 5th grader scores 31 points under the grade 5 bar. 2497 vs. 2528.

2026 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
3	4,608	2409.1	− 2436	−26.9	× 82 / 310	−7.1
4	4,611	2462.4	− 2485	−22.6	× 60 / 310	−4.4
5	4,612	2506.7	− 2528	−21.3	× 84 / 310	−5.8
6	4,615	2490.7	− 2552	−61.3	× 84 / 310	−16.6
Sum, rounded to a whole point						−34

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,115	2439.3	− 2436	3.3	× 96 / 326	1
4	4,116	2466.9	− 2485	−18.1	× 80 / 326	−4.4
5	4,118	2536.6	− 2528	8.6	× 63 / 326	1.7
6	4,121	2529.0	− 2552	−23	× 87 / 326	−6.1
Sum, rounded to a whole point						−8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,190	2416.2	− 2436	−19.8	× 78 / 247	−6.3
4	4,193	2478.9	− 2485	−6.1	× 87 / 247	−2.1
5	4,194	2505.6	− 2528	−22.4	× 82 / 247	−7.4
Sum, rounded to a whole point						−16

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,193	2415.3	− 2436	−20.7	× 81 / 251	−6.7
4	4,194	2468.3	− 2485	−16.7	× 75 / 251	−5
5	4,197	2528.3	− 2528	0.3	× 95 / 251	0.1
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
3	4,246	2430.4	− 2436	−5.6	× 102 / 278	−2.1
4	4,247	2468.6	− 2485	−16.4	× 86 / 278	−5.1
5	4,248	2507.0	− 2528	−21	× 90 / 278	−6.8
Sum, rounded to a whole point						−14

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,164	2418.7	− 2436	−17.3	× 88 / 257	−5.9
4	4,165	2461.0	− 2485	−24	× 91 / 257	−8.5
5	4,166	2494.7	− 2528	−33.3	× 78 / 257	−10.1
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
3	4,145	2404.6	− 2436	−31.4	× 87 / 288	−9.5
4	4,146	2475.1	− 2485	−9.9	× 99 / 288	−3.4
5	4,147	2489.2	− 2528	−38.8	× 102 / 288	−13.7
Sum, rounded to a whole point						−27

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,110	2402.3	− 2436	−33.7	× 97 / 270	−12.1
4	4,111	2469.3	− 2485	−15.7	× 84 / 270	−4.9
5	4,112	2493.0	− 2528	−35	× 89 / 270	−11.5
Sum, rounded to a whole point						−29

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,064	2418.4	− 2436	−17.6	× 104 / 278	−6.6
4	4,065	2468.9	− 2485	−16.1	× 93 / 278	−5.4
5	4,066	2511.5	− 2528	−16.5	× 81 / 278	−4.8
Sum, rounded to a whole point						−17

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,042	2422.7	− 2436	−13.3	× 79 / 265	−4
4	4,043	2466.6	− 2485	−18.4	× 97 / 265	−6.7
5	4,044	2496.7	− 2528	−31.3	× 89 / 265	−10.5
Sum, rounded to a whole point						−21

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −34, −8, −16, −12, −14, −25, −27, −29, −17, −21 → −20.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 26 · 2016→2017: 8 · 2017→2018: 4 · 2018→2019: 2 · 2019→2022: 11 · 2022→2023: 2 · 2023→2024: 2 · 2024→2025: 12 · 2025→2026: 4 → average 7.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.9 × 2.66 = 21. Upper limit 0.7, lower limit −41.3.

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.