Cesar E. Chavez Middle: 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
6	90,041	2444.1	− 2552	−107.9	× 218 / 582	−40.4
7	90,044	2469.2	− 2567	−97.8	× 185 / 582	−31.1
8	90,045	2481.9	− 2586	−104.1	× 179 / 582	−32
Sum, rounded to a whole point						−104

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,514	2450.9	− 2552	−101.1	× 222 / 626	−35.9
7	83,515	2461.1	− 2567	−105.9	× 220 / 626	−37.2
8	83,518	2489.6	− 2586	−96.4	× 184 / 626	−28.3
Sum, rounded to a whole point						−101

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,836	2453.1	− 2552	−98.9	× 213 / 636	−33.1
7	85,837	2462.5	− 2567	−104.5	× 213 / 636	−35
8	85,839	2468.6	− 2586	−117.4	× 210 / 636	−38.8
Sum, rounded to a whole point						−107

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,062	2431.5	− 2552	−120.5	× 208 / 622	−40.3
7	86,065	2460.0	− 2567	−107	× 207 / 622	−35.6
8	86,066	2467.5	− 2586	−118.5	× 207 / 622	−39.4
Sum, rounded to a whole point						−115

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,655	2450.0	− 2552	−102	× 210 / 623	−34.4
7	86,656	2454.6	− 2567	−112.4	× 207 / 623	−37.3
8	86,657	2452.2	− 2586	−133.8	× 206 / 623	−44.2
Sum, rounded to a whole point						−116

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,912	2425.6	− 2552	−126.4	× 165 / 520	−40.1
7	86,913	2442.0	− 2567	−125	× 173 / 520	−41.6
8	86,914	2434.7	− 2586	−151.3	× 182 / 520	−53
Sum, rounded to a whole point						−135

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,834	2425.8	− 2552	−126.2	× 183 / 512	−45.1
7	86,835	2443.9	− 2567	−123.1	× 163 / 512	−39.2
8	86,836	2445.8	− 2586	−140.2	× 166 / 512	−45.5
Sum, rounded to a whole point						−130

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,808	2412.1	− 2552	−139.9	× 166 / 533	−43.6
7	86,809	2431.3	− 2567	−135.7	× 200 / 533	−50.9
8	86,810	2435.2	− 2586	−150.8	× 167 / 533	−47.2
Sum, rounded to a whole point						−142

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,492	2422.1	− 2552	−129.9	× 164 / 514	−41.4
7	86,493	2446.6	− 2567	−120.4	× 158 / 514	−37
8	86,494	2436.3	− 2586	−149.7	× 192 / 514	−55.9
Sum, rounded to a whole point						−134

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −104, −101, −107, −115, −116, −135, −130, −142, −134 → −120.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 6 · 2017→2018: 8 · 2018→2019: 1 · 2019→2022: 19 · 2022→2023: 5 · 2023→2024: 12 · 2024→2025: 8 → average 7.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.8 × 2.66 = 20.7. Upper limit −99.7, lower limit −141.1.

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.