Cesar Chavez 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.

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,930	2406.8	− 2436	−29.2	× 38 / 38	−29.2
Sum, rounded to a whole point						−29

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,771	2400.0	− 2436	−36	× 64 / 144	−16
4	91,772	2438.3	− 2485	−46.7	× 44 / 144	−14.3
5	91,773	2463.0	− 2528	−65	× 36 / 144	−16.3
Sum, rounded to a whole point						−47

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,018	2418.5	− 2436	−17.5	× 64 / 633	−1.8
4	92,019	2421.0	− 2485	−64	× 57 / 633	−5.8
5	92,020	2445.3	− 2528	−82.7	× 55 / 633	−7.2
6	92,021	2486.2	− 2552	−65.8	× 57 / 633	−5.9
7	92,022	2423.6	− 2567	−143.4	× 196 / 633	−44.4
8	92,023	2432.5	− 2586	−153.5	× 204 / 633	−49.5
Sum, rounded to a whole point						−115

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,926	2374.2	− 2436	−61.8	× 65 / 599	−6.7
4	91,927	2421.9	− 2485	−63.1	× 58 / 599	−6.1
5	91,928	2464.6	− 2528	−63.4	× 52 / 599	−5.5
6	91,929	2456.4	− 2552	−95.6	× 53 / 599	−8.5
7	91,930	2423.7	− 2567	−143.3	× 188 / 599	−45
8	91,931	2418.4	− 2586	−167.6	× 183 / 599	−51.2
Sum, rounded to a whole point						−123

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,855	2415.1	− 2436	−20.9	× 62 / 562	−2.3
4	91,856	2419.2	− 2485	−65.8	× 60 / 562	−7
5	91,857	2458.0	− 2528	−70	× 58 / 562	−7.2
6	91,858	2452.2	− 2552	−99.8	× 42 / 562	−7.5
7	91,859	2434.0	− 2567	−133	× 161 / 562	−38.1
8	91,860	2428.4	− 2586	−157.6	× 179 / 562	−50.2
Sum, rounded to a whole point						−112

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,563	2394.3	− 2436	−41.7	× 61 / 500	−5.1
4	91,564	2462.0	− 2485	−23	× 56 / 500	−2.6
5	91,565	2451.2	− 2528	−76.8	× 54 / 500	−8.3
6	91,566	2464.7	− 2552	−87.3	× 52 / 500	−9.1
7	91,567	2456.6	− 2567	−110.4	× 132 / 500	−29.1
8	91,568	2438.6	− 2586	−147.4	× 145 / 500	−42.7
Sum, rounded to a whole point						−97

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −29, −47, −115, −123, −112, −97 → −87.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2017→2019: 18 · 2019→2022: 68 · 2022→2023: 8 · 2023→2024: 11 · 2024→2025: 15 → average 24
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 24 × 2.66 = 63.8. Upper limit −23.4, lower limit −151.

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 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.