Chualar Union: math

The shaded band is this district'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	45,570	2455.5	− 2436	19.5	× 37 / 224	3.2
4	45,571	2439.1	− 2485	−45.9	× 40 / 224	−8.2
5	45,574	2457.3	− 2528	−70.7	× 48 / 224	−15.2
6	45,575	2490.2	− 2552	−61.8	× 35 / 224	−9.7
7	45,578	2513.5	− 2567	−53.5	× 37 / 224	−8.8
8	45,579	2504.9	− 2586	−81.1	× 27 / 224	−9.8
Sum, rounded to a whole point						−48

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,275	2438.3	− 2436	2.3	× 28 / 226	0.3
4	42,277	2436.2	− 2485	−48.8	× 37 / 226	−8
5	42,280	2468.6	− 2528	−59.4	× 41 / 226	−10.8
6	42,281	2461.5	− 2552	−90.5	× 49 / 226	−19.6
7	42,283	2537.1	− 2567	−29.9	× 35 / 226	−4.6
8	42,286	2542.2	− 2586	−43.8	× 36 / 226	−7
Sum, rounded to a whole point						−50

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,332	2415.5	− 2436	−20.5	× 38 / 224	−3.5
4	43,334	2433.7	− 2485	−51.3	× 33 / 224	−7.6
5	43,337	2490.9	− 2528	−37.1	× 33 / 224	−5.5
6	43,339	2518.6	− 2552	−33.4	× 41 / 224	−6.1
7	43,340	2505.5	− 2567	−61.5	× 43 / 224	−11.8
8	43,343	2548.2	− 2586	−37.8	× 36 / 224	−6.1
Sum, rounded to a whole point						−40

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,350	2465.3	− 2436	29.3	× 33 / 207	4.7
4	43,351	2455.9	− 2485	−29.1	× 33 / 207	−4.6
5	43,354	2440.1	− 2528	−87.9	× 31 / 207	−13.2
6	43,355	2508.3	− 2552	−43.7	× 29 / 207	−6.1
7	43,358	2566.1	− 2567	−0.9	× 39 / 207	−0.2
8	43,359	2481.1	− 2586	−104.9	× 42 / 207	−21.3
Sum, rounded to a whole point						−41

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,475	2434.3	− 2436	−1.7	× 31 / 200	−0.3
4	43,476	2477.2	− 2485	−7.8	× 37 / 200	−1.4
5	43,477	2466.1	− 2528	−61.9	× 35 / 200	−10.8
6	43,478	2520.5	− 2552	−31.5	× 31 / 200	−4.9
7	43,479	2520.8	− 2567	−46.2	× 30 / 200	−6.9
8	43,480	2566.0	− 2586	−20	× 36 / 200	−3.6
Sum, rounded to a whole point						−28

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,179	2436.0	− 2436	0	× 29 / 176	0
4	43,180	2417.6	− 2485	−67.4	× 30 / 176	−11.5
5	43,181	2434.4	− 2528	−93.6	× 33 / 176	−17.6
6	43,182	2457.5	− 2552	−94.5	× 25 / 176	−13.4
7	43,183	2520.9	− 2567	−46.1	× 31 / 176	−8.1
8	43,184	2518.5	− 2586	−67.5	× 28 / 176	−10.7
Sum, rounded to a whole point						−61

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,205	2408.8	− 2436	−27.2	× 34 / 182	−5.1
4	43,206	2458.0	− 2485	−27	× 29 / 182	−4.3
5	43,207	2500.0	− 2528	−28	× 29 / 182	−4.5
6	43,208	2444.6	− 2552	−107.4	× 33 / 182	−19.5
7	43,209	2511.9	− 2567	−55.1	× 25 / 182	−7.6
8	43,210	2510.1	− 2586	−75.9	× 32 / 182	−13.3
Sum, rounded to a whole point						−54

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,029	2401.9	− 2436	−34.1	× 26 / 166	−5.3
4	43,030	2454.5	− 2485	−30.5	× 33 / 166	−6.1
5	43,031	2491.9	− 2528	−36.1	× 26 / 166	−5.7
6	43,032	2495.9	− 2552	−56.1	× 28 / 166	−9.5
7	43,033	2466.6	− 2567	−100.4	× 31 / 166	−18.7
8	43,034	2556.5	− 2586	−29.5	× 22 / 166	−3.9
Sum, rounded to a whole point						−49

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,784	2418.7	− 2436	−17.3	× 25 / 154	−2.8
4	42,785	2423.5	− 2485	−61.5	× 23 / 154	−9.2
5	42,786	2465.5	− 2528	−62.5	× 31 / 154	−12.6
6	42,787	2523.7	− 2552	−28.3	× 25 / 154	−4.6
7	42,788	2527.7	− 2567	−39.3	× 24 / 154	−6.1
8	42,789	2516.5	− 2586	−69.5	× 26 / 154	−11.7
Sum, rounded to a whole point						−47

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,680	2370.9	− 2436	−65.1	× 26 / 152	−11.1
4	42,681	2452.6	− 2485	−32.4	× 23 / 152	−4.9
5	42,682	2456.9	− 2528	−71.1	× 25 / 152	−11.7
6	42,683	2472.9	− 2552	−79.1	× 28 / 152	−14.6
7	42,684	2504.7	− 2567	−62.3	× 27 / 152	−11.1
8	42,685	2569.7	− 2586	−16.3	× 23 / 152	−2.5
Sum, rounded to a whole point						−56

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −48, −50, −40, −41, −28, −61, −54, −49, −47, −56 → −47.4
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: 10 · 2017→2018: 1 · 2018→2019: 13 · 2019→2022: 33 · 2022→2023: 7 · 2023→2024: 5 · 2024→2025: 2 · 2025→2026: 9 → 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 −23.2, lower limit −71.6.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Chualar Union

K–8 schools

Chualar Elementary