Cesar Chavez 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	58,844	2350.3	− 2436	−85.7	× 130 / 538	−20.7
4	58,847	2395.2	− 2485	−89.8	× 129 / 538	−21.5
5	58,848	2409.6	− 2528	−118.4	× 139 / 538	−30.6
6	58,850	2440.9	− 2552	−111.1	× 140 / 538	−28.9
Sum, rounded to a whole point						−102

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,601	2359.8	− 2436	−76.2	× 146 / 557	−20
4	54,603	2412.9	− 2485	−72.1	× 135 / 557	−17.5
5	54,605	2412.8	− 2528	−115.2	× 137 / 557	−28.3
6	54,608	2466.4	− 2552	−85.6	× 139 / 557	−21.4
Sum, rounded to a whole point						−87

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,193	2386.1	− 2436	−49.9	× 129 / 539	−11.9
4	56,195	2414.8	− 2485	−70.2	× 140 / 539	−18.2
5	56,196	2433.5	− 2528	−94.5	× 140 / 539	−24.5
6	56,199	2463.6	− 2552	−88.4	× 130 / 539	−21.3
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	56,292	2366.5	− 2436	−69.5	× 131 / 549	−16.6
4	56,294	2426.3	− 2485	−58.7	× 130 / 549	−13.9
5	56,296	2449.4	− 2528	−78.6	× 147 / 549	−21
6	56,298	2479.6	− 2552	−72.4	× 141 / 549	−18.6
Sum, rounded to a whole point						−70

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,551	2380.3	− 2436	−55.7	× 126 / 529	−13.3
4	56,552	2404.6	− 2485	−80.4	× 124 / 529	−18.8
5	56,553	2463.1	− 2528	−64.9	× 133 / 529	−16.3
6	56,554	2458.7	− 2552	−93.3	× 146 / 529	−25.8
Sum, rounded to a whole point						−74

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,294	2344.5	− 2436	−91.5	× 98 / 339	−26.5
4	55,295	2391.9	− 2485	−93.1	× 68 / 339	−18.7
5	55,296	2412.2	− 2528	−115.8	× 90 / 339	−30.7
6	55,297	2454.1	− 2552	−97.9	× 83 / 339	−24
Sum, rounded to a whole point						−100

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,629	2354.0	− 2436	−82	× 91 / 437	−17.1
4	56,630	2413.8	− 2485	−71.2	× 116 / 437	−18.9
5	56,631	2404.2	− 2528	−123.8	× 117 / 437	−33.1
6	56,632	2433.8	− 2552	−118.2	× 113 / 437	−30.6
Sum, rounded to a whole point						−100

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,590	2357.0	− 2436	−79	× 86 / 415	−16.4
4	56,591	2415.6	− 2485	−69.4	× 93 / 415	−15.6
5	56,592	2431.4	− 2528	−96.6	× 119 / 415	−27.7
6	56,593	2444.3	− 2552	−107.7	× 117 / 415	−30.4
Sum, rounded to a whole point						−90

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,478	2357.2	− 2436	−78.8	× 98 / 397	−19.5
4	56,479	2401.9	− 2485	−83.1	× 89 / 397	−18.6
5	56,480	2422.4	− 2528	−105.6	× 92 / 397	−24.5
6	56,481	2486.5	− 2552	−65.5	× 118 / 397	−19.5
Sum, rounded to a whole point						−82

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,234	2389.7	− 2436	−46.3	× 90 / 364	−11.4
4	56,235	2401.9	− 2485	−83.1	× 96 / 364	−21.9
5	56,236	2435.9	− 2528	−92.1	× 82 / 364	−20.7
6	56,237	2465.7	− 2552	−86.3	× 96 / 364	−22.8
Sum, rounded to a whole point						−77

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −102, −87, −76, −70, −74, −100, −100, −90, −82, −77 → −85.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 11 · 2017→2018: 6 · 2018→2019: 4 · 2019→2021: 26 · 2021→2022: 0 · 2022→2023: 10 · 2023→2024: 8 · 2024→2025: 5 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit −60.8, lower limit −110.8.

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.