Central Language Academy: 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	66,614	2367.9	− 2436	−68.1	× 87 / 387	−15.3
4	66,617	2385.8	− 2485	−99.2	× 84 / 387	−21.5
5	66,618	2450.9	− 2528	−77.1	× 90 / 387	−17.9
6	66,621	2454.4	− 2552	−97.6	× 76 / 387	−19.2
7	66,622	2475.2	− 2567	−91.8	× 33 / 387	−7.8
8	66,625	2548.5	− 2586	−37.5	× 17 / 387	−1.6
Sum, rounded to a whole point						−83

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,785	2382.2	− 2436	−53.8	× 84 / 392	−11.5
4	61,787	2416.0	− 2485	−69	× 94 / 392	−16.5
5	61,789	2409.0	− 2528	−119	× 79 / 392	−24
6	61,791	2467.6	− 2552	−84.4	× 78 / 392	−16.8
7	61,794	2506.7	− 2567	−60.3	× 29 / 392	−4.5
8	61,796	2478.3	− 2586	−107.7	× 28 / 392	−7.7
Sum, rounded to a whole point						−81

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,575	2393.8	− 2436	−42.2	× 92 / 382	−10.2
4	63,578	2413.0	− 2485	−72	× 77 / 382	−14.5
5	63,580	2426.4	− 2528	−101.6	× 82 / 382	−21.8
6	63,582	2456.4	− 2552	−95.6	× 75 / 382	−18.8
7	63,584	2479.6	− 2567	−87.4	× 29 / 382	−6.6
8	63,586	2527.1	− 2586	−58.9	× 27 / 382	−4.2
Sum, rounded to a whole point						−76

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,678	2392.1	− 2436	−43.9	× 96 / 390	−10.8
4	63,681	2440.7	− 2485	−44.3	× 87 / 390	−9.9
5	63,682	2418.7	− 2528	−109.3	× 71 / 390	−19.9
6	63,685	2472.3	− 2552	−79.7	× 80 / 390	−16.3
7	63,687	2530.6	− 2567	−36.4	× 32 / 390	−3
8	63,689	2557.4	− 2586	−28.6	× 24 / 390	−1.8
Sum, rounded to a whole point						−62

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,951	2407.4	− 2436	−28.6	× 92 / 413	−6.4
4	63,952	2439.3	− 2485	−45.7	× 95 / 413	−10.5
5	63,953	2465.1	− 2528	−62.9	× 87 / 413	−13.3
6	63,954	2490.1	− 2552	−61.9	× 67 / 413	−10
7	63,955	2538.4	− 2567	−28.6	× 40 / 413	−2.8
8	63,956	2583.1	− 2586	−2.9	× 32 / 413	−0.2
Sum, rounded to a whole point						−43

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,040	2372.4	− 2436	−63.6	× 90 / 433	−13.2
4	64,041	2428.0	− 2485	−57	× 89 / 433	−11.7
5	64,042	2446.9	− 2528	−81.1	× 85 / 433	−15.9
6	64,043	2478.7	− 2552	−73.3	× 80 / 433	−13.5
7	64,044	2546.4	− 2567	−20.6	× 52 / 433	−2.5
8	64,045	2562.5	− 2586	−23.5	× 37 / 433	−2
Sum, rounded to a whole point						−59

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,023	2391.8	− 2436	−44.2	× 82 / 429	−8.4
4	64,024	2436.2	− 2485	−48.8	× 84 / 429	−9.6
5	64,025	2444.6	− 2528	−83.4	× 88 / 429	−17.1
6	64,026	2470.7	− 2552	−81.3	× 85 / 429	−16.1
7	64,027	2538.2	− 2567	−28.8	× 40 / 429	−2.7
8	64,028	2539.4	− 2586	−46.6	× 50 / 429	−5.4
Sum, rounded to a whole point						−59

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,997	2400.8	− 2436	−35.2	× 91 / 434	−7.4
4	63,998	2444.3	− 2485	−40.7	× 85 / 434	−8
5	63,999	2441.1	− 2528	−86.9	× 87 / 434	−17.4
6	64,000	2492.2	− 2552	−59.8	× 83 / 434	−11.4
7	64,001	2548.4	− 2567	−18.6	× 47 / 434	−2
8	64,002	2576.7	− 2586	−9.3	× 41 / 434	−0.9
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,759	2400.5	− 2436	−35.5	× 88 / 427	−7.3
4	63,760	2446.7	− 2485	−38.3	× 83 / 427	−7.4
5	63,761	2480.3	− 2528	−47.7	× 77 / 427	−8.6
6	63,762	2482.4	− 2552	−69.6	× 79 / 427	−12.9
7	63,763	2565.2	− 2567	−1.8	× 56 / 427	−0.2
8	63,764	2617.3	− 2586	31.3	× 44 / 427	3.2
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −83, −81, −76, −62, −43, −59, −59, −47, −33 → −60.3
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: 5 · 2017→2018: 14 · 2018→2019: 19 · 2019→2022: 16 · 2022→2023: 0 · 2023→2024: 12 · 2024→2025: 14 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit −32.9, lower limit −87.7.

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.