Yuba Environmental Science Charter Academy: 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	105,818	2404.8	− 2436	−31.2	× 12 / 37	−10.1
5	105,822	2492.6	− 2528	−35.4	× 13 / 37	−12.4
8	105,827	2500.9	− 2586	−85.1	× 12 / 37	−27.6
Sum, rounded to a whole point						−50

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,307	2371.1	− 2436	−64.9	× 12 / 38	−20.5
5	98,312	2468.9	− 2528	−59.1	× 11 / 38	−17.1
6	98,314	2481.7	− 2552	−70.3	× 15 / 38	−27.8
Sum, rounded to a whole point						−65

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	101,179	2505.7	− 2528	−22.3	× 15 / 39	−8.6
6	101,180	2559.9	− 2552	7.9	× 12 / 39	2.4
7	101,182	2543.3	− 2567	−23.7	× 12 / 39	−7.3
Sum, rounded to a whole point						−13

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	101,332	2419.2	− 2485	−65.8	× 11 / 51	−14.2
5	101,333	2495.4	− 2528	−32.6	× 11 / 51	−7
6	101,336	2578.7	− 2552	26.7	× 14 / 51	7.3
7	101,337	2464.5	− 2567	−102.5	× 15 / 51	−30.1
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	101,991	2376.7	− 2436	−59.3	× 11 / 11	−59.3
Sum, rounded to a whole point						−59

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	99,851	2410.2	− 2485	−74.8	× 14 / 25	−41.9
5	99,852	2438.0	− 2528	−90	× 11 / 25	−39.6
Sum, rounded to a whole point						−81

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,262	2327.3	− 2436	−108.7	× 12 / 74	−17.6
4	102,263	2370.3	− 2485	−114.7	× 13 / 74	−20.2
5	102,264	2445.1	− 2528	−82.9	× 18 / 74	−20.2
6	102,265	2450.1	− 2552	−101.9	× 14 / 74	−19.3
7	102,266	2388.6	− 2567	−178.4	× 17 / 74	−41
Sum, rounded to a whole point						−118

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,076	2431.5	− 2436	−4.5	× 19 / 112	−0.8
4	102,077	2404.8	− 2485	−80.2	× 20 / 112	−14.3
5	102,078	2423.6	− 2528	−104.4	× 20 / 112	−18.6
6	102,079	2432.7	− 2552	−119.3	× 15 / 112	−16
7	102,080	2483.1	− 2567	−83.9	× 19 / 112	−14.2
8	102,081	2430.2	− 2586	−155.8	× 19 / 112	−26.4
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	101,971	2453.2	− 2436	17.2	× 14 / 110	2.2
4	101,972	2440.8	− 2485	−44.2	× 21 / 110	−8.4
5	101,973	2407.3	− 2528	−120.7	× 21 / 110	−23
6	101,974	2443.0	− 2552	−109	× 19 / 110	−18.8
7	101,975	2464.8	− 2567	−102.2	× 15 / 110	−13.9
8	101,976	2491.8	− 2586	−94.2	× 20 / 110	−17.1
Sum, rounded to a whole point						−79

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,633	2492.4	− 2436	56.4	× 17 / 120	8
4	101,634	2463.4	− 2485	−21.6	× 14 / 120	−2.5
5	101,635	2423.0	− 2528	−105	× 30 / 120	−26.3
6	101,636	2437.1	− 2552	−114.9	× 21 / 120	−20.1
7	101,637	2439.2	− 2567	−127.8	× 21 / 120	−22.4
8	101,638	2504.6	− 2586	−81.4	× 17 / 120	−11.5
Sum, rounded to a whole point						−75

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −50, −65, −13, −44, −59, −81, −118, −90, −79, −75 → −67.4
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: 52 · 2017→2018: 31 · 2018→2019: 15 · 2019→2021: 22 · 2021→2022: 37 · 2022→2023: 28 · 2023→2024: 11 · 2024→2025: 4 → average 23.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 23.9 × 2.66 = 63.6. Upper limit −3.8, lower limit −131.

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.