Palma Ceia 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	1,502	2391.8	− 2436	−44.2	× 94 / 367	−11.3
4	1,504	2436.9	− 2485	−48.1	× 102 / 367	−13.4
5	1,505	2447.5	− 2528	−80.5	× 82 / 367	−18
6	1,508	2462.3	− 2552	−89.7	× 89 / 367	−21.8
Sum, rounded to a whole point						−64

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,307	2420.6	− 2436	−15.4	× 71 / 341	−3.2
4	1,308	2439.4	− 2485	−45.6	× 92 / 341	−12.3
5	1,310	2440.7	− 2528	−87.3	× 99 / 341	−25.3
6	1,313	2478.5	− 2552	−73.5	× 79 / 341	−17
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	1,345	2418.5	− 2436	−17.5	× 80 / 337	−4.2
4	1,347	2469.6	− 2485	−15.4	× 68 / 337	−3.1
5	1,349	2449.1	− 2528	−78.9	× 88 / 337	−20.6
6	1,350	2459.3	− 2552	−92.7	× 101 / 337	−27.8
Sum, rounded to a whole point						−56

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,375	2417.2	− 2436	−18.8	× 70 / 310	−4.2
4	1,377	2483.5	− 2485	−1.5	× 83 / 310	−0.4
5	1,379	2452.9	− 2528	−75.1	× 68 / 310	−16.5
6	1,381	2480.8	− 2552	−71.2	× 89 / 310	−20.4
Sum, rounded to a whole point						−42

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,401	2382.0	− 2436	−54	× 88 / 320	−14.9
4	1,402	2459.2	− 2485	−25.8	× 73 / 320	−5.9
5	1,403	2450.2	− 2528	−77.8	× 84 / 320	−20.4
6	1,404	2481.1	− 2552	−70.9	× 75 / 320	−16.6
Sum, rounded to a whole point						−58

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,385	2373.8	− 2436	−62.2	× 69 / 278	−15.4
4	1,386	2424.3	− 2485	−60.7	× 56 / 278	−12.2
5	1,387	2466.9	− 2528	−61.1	× 66 / 278	−14.5
6	1,388	2452.0	− 2552	−100	× 87 / 278	−31.3
Sum, rounded to a whole point						−73

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,381	2380.0	− 2436	−56	× 70 / 266	−14.7
4	1,382	2431.5	− 2485	−53.5	× 73 / 266	−14.7
5	1,383	2458.9	− 2528	−69.1	× 61 / 266	−15.8
6	1,384	2483.8	− 2552	−68.2	× 62 / 266	−15.9
Sum, rounded to a whole point						−61

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,349	2368.1	− 2436	−67.9	× 73 / 290	−17.1
4	1,350	2436.1	− 2485	−48.9	× 76 / 290	−12.8
5	1,351	2459.9	− 2528	−68.1	× 76 / 290	−17.8
6	1,352	2444.5	− 2552	−107.5	× 65 / 290	−24.1
Sum, rounded to a whole point						−72

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,341	2386.2	− 2436	−49.8	× 74 / 283	−13
4	1,342	2435.1	− 2485	−49.9	× 72 / 283	−12.7
5	1,343	2455.7	− 2528	−72.3	× 74 / 283	−18.9
6	1,344	2471.8	− 2552	−80.2	× 63 / 283	−17.9
Sum, rounded to a whole point						−62

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −64, −58, −56, −42, −58, −73, −61, −72, −62 → −60.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 2 · 2017→2018: 14 · 2018→2019: 16 · 2019→2022: 15 · 2022→2023: 12 · 2023→2024: 11 · 2024→2025: 10 → average 10.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.8 × 2.66 = 28.7. Upper limit −32, lower limit −89.4.

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.