Capistrano 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	96,664	2367.4	− 2436	−68.6	× 73 / 271	−18.5
4	96,667	2458.8	− 2485	−26.2	× 67 / 271	−6.5
5	96,668	2453.4	− 2528	−74.6	× 58 / 271	−16
6	96,671	2482.3	− 2552	−69.7	× 73 / 271	−18.8
Sum, rounded to a whole point						−60

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,650	2400.9	− 2436	−35.1	× 72 / 269	−9.4
4	89,653	2458.0	− 2485	−27	× 66 / 269	−6.6
5	89,655	2451.2	− 2528	−76.8	× 66 / 269	−18.8
6	89,656	2458.0	− 2552	−94	× 65 / 269	−22.7
Sum, rounded to a whole point						−58

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,275	2388.1	− 2436	−47.9	× 77 / 275	−13.4
4	92,276	2450.6	− 2485	−34.4	× 72 / 275	−9
5	92,278	2453.9	− 2528	−74.1	× 65 / 275	−17.5
6	92,280	2490.3	− 2552	−61.7	× 61 / 275	−13.7
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,471	2395.2	− 2436	−40.8	× 79 / 281	−11.5
4	92,474	2484.8	− 2485	−0.2	× 68 / 281	0
5	92,475	2459.0	− 2528	−69	× 65 / 281	−16
6	92,478	2468.8	− 2552	−83.2	× 69 / 281	−20.4
Sum, rounded to a whole point						−48

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,103	2392.7	− 2436	−43.3	× 86 / 289	−12.9
4	93,104	2487.3	− 2485	2.3	× 73 / 289	0.6
5	93,105	2481.0	− 2528	−47	× 65 / 289	−10.6
6	93,106	2504.1	− 2552	−47.9	× 65 / 289	−10.8
Sum, rounded to a whole point						−34

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,338	2387.5	− 2436	−48.5	× 75 / 262	−13.9
4	93,339	2446.5	− 2485	−38.5	× 59 / 262	−8.7
5	93,340	2421.3	− 2528	−106.7	× 66 / 262	−26.9
6	93,341	2474.5	− 2552	−77.5	× 62 / 262	−18.3
Sum, rounded to a whole point						−68

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,232	2354.1	− 2436	−81.9	× 75 / 261	−23.5
4	93,233	2475.0	− 2485	−10	× 63 / 261	−2.4
5	93,234	2445.1	− 2528	−82.9	× 59 / 261	−18.7
6	93,235	2476.8	− 2552	−75.2	× 64 / 261	−18.4
Sum, rounded to a whole point						−63

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,127	2355.8	− 2436	−80.2	× 49 / 237	−16.6
4	93,128	2424.0	− 2485	−61	× 62 / 237	−16
5	93,129	2456.1	− 2528	−71.9	× 63 / 237	−19.1
6	93,130	2473.3	− 2552	−78.7	× 63 / 237	−20.9
Sum, rounded to a whole point						−73

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,853	2370.0	− 2436	−66	× 69 / 259	−17.6
4	92,854	2442.6	− 2485	−42.4	× 60 / 259	−9.8
5	92,855	2439.0	− 2528	−89	× 64 / 259	−22
6	92,856	2472.5	− 2552	−79.5	× 66 / 259	−20.3
Sum, rounded to a whole point						−70

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −60, −58, −54, −48, −34, −68, −63, −73, −70 → −58.7
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: 4 · 2017→2018: 6 · 2018→2019: 14 · 2019→2022: 34 · 2022→2023: 5 · 2023→2024: 10 · 2024→2025: 3 → average 9.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.8 × 2.66 = 26.1. Upper limit −32.6, lower limit −84.8.

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.