La Tercera 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	94,621	2361.0	− 2436	−75	× 49 / 205	−17.9
4	94,622	2409.2	− 2485	−75.8	× 53 / 205	−19.6
5	94,625	2425.0	− 2528	−103	× 56 / 205	−28.1
6	94,626	2492.2	− 2552	−59.8	× 47 / 205	−13.7
Sum, rounded to a whole point						−79

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,864	2381.7	− 2436	−54.3	× 39 / 179	−11.8
4	87,865	2428.8	− 2485	−56.2	× 41 / 179	−12.9
5	87,867	2440.9	− 2528	−87.1	× 43 / 179	−20.9
6	87,869	2494.1	− 2552	−57.9	× 56 / 179	−18.1
Sum, rounded to a whole point						−64

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,398	2435.8	− 2436	−0.2	× 50 / 188	−0.1
4	90,400	2432.5	− 2485	−52.5	× 43 / 188	−12
5	90,402	2442.1	− 2528	−85.9	× 47 / 188	−21.5
6	90,405	2479.1	− 2552	−72.9	× 48 / 188	−18.6
Sum, rounded to a whole point						−52

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,598	2450.3	− 2436	14.3	× 27 / 175	2.2
4	90,599	2467.1	− 2485	−17.9	× 53 / 175	−5.4
5	90,602	2423.5	− 2528	−104.5	× 47 / 175	−28.1
6	90,603	2503.9	− 2552	−48.1	× 48 / 175	−13.2
Sum, rounded to a whole point						−44

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,228	2438.9	− 2436	2.9	× 36 / 171	0.6
4	91,229	2484.9	− 2485	−0.1	× 31 / 171	0
5	91,230	2488.4	− 2528	−39.6	× 54 / 171	−12.5
6	91,231	2490.4	− 2552	−61.6	× 50 / 171	−18
Sum, rounded to a whole point						−30

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,484	2411.1	− 2436	−24.9	× 41 / 178	−5.7
4	91,485	2459.3	− 2485	−25.7	× 51 / 178	−7.4
5	91,486	2453.4	− 2528	−74.6	× 47 / 178	−19.7
6	91,487	2497.8	− 2552	−54.2	× 39 / 178	−11.9
Sum, rounded to a whole point						−45

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,374	2408.3	− 2436	−27.7	× 53 / 201	−7.3
4	91,375	2471.4	− 2485	−13.6	× 46 / 201	−3.1
5	91,376	2465.5	− 2528	−62.5	× 54 / 201	−16.8
6	91,377	2505.1	− 2552	−46.9	× 48 / 201	−11.2
Sum, rounded to a whole point						−38

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,317	2400.1	− 2436	−35.9	× 36 / 183	−7.1
4	91,318	2456.6	− 2485	−28.4	× 52 / 183	−8.1
5	91,319	2487.6	− 2528	−40.4	× 43 / 183	−9.5
6	91,320	2494.9	− 2552	−57.1	× 52 / 183	−16.2
Sum, rounded to a whole point						−41

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,019	2428.0	− 2436	−8	× 31 / 168	−1.5
4	91,020	2458.6	− 2485	−26.4	× 37 / 168	−5.8
5	91,021	2472.4	− 2528	−55.6	× 56 / 168	−18.5
6	91,022	2548.6	− 2552	−3.4	× 44 / 168	−0.9
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −79, −64, −52, −44, −30, −45, −38, −41, −27 → −46.7
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: 12 · 2017→2018: 8 · 2018→2019: 14 · 2019→2022: 15 · 2022→2023: 7 · 2023→2024: 3 · 2024→2025: 14 → average 11
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11 × 2.66 = 29.3. Upper limit −17.4, lower limit −76.

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.