Trinity: math · Schoolio

The shaded band is this county'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	99,682	2430.7	− 2436	−5.3	× 114 / 805	−0.8
4	99,685	2463.0	− 2485	−22	× 146 / 805	−4
5	99,686	2487.7	− 2528	−40.3	× 103 / 805	−5.2
6	99,689	2515.8	− 2552	−36.2	× 128 / 805	−5.8
7	99,690	2552.4	− 2567	−14.6	× 114 / 805	−2.1
8	99,693	2563.1	− 2586	−22.9	× 114 / 805	−3.2
11	99,694	2545.1	− 2628	−82.9	× 86 / 805	−8.9
Sum, rounded to a whole point						−30

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,445	2434.5	− 2436	−1.5	× 117 / 841	−0.2
4	92,447	2467.3	− 2485	−17.7	× 115 / 841	−2.4
5	92,448	2496.5	− 2528	−31.5	× 147 / 841	−5.5
6	92,450	2524.7	− 2552	−27.3	× 103 / 841	−3.3
7	92,452	2557.2	− 2567	−9.8	× 135 / 841	−1.6
8	92,454	2587.6	− 2586	1.6	× 120 / 841	0.2
11	92,456	2551.8	− 2628	−76.2	× 104 / 841	−9.4
Sum, rounded to a whole point						−22

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,236	2436.8	− 2436	0.8	× 107 / 833	0.1
4	95,239	2479.7	− 2485	−5.3	× 110 / 833	−0.7
5	95,241	2496.2	− 2528	−31.8	× 114 / 833	−4.4
6	95,242	2520.6	− 2552	−31.4	× 146 / 833	−5.5
7	95,244	2554.4	− 2567	−12.6	× 108 / 833	−1.6
8	95,247	2581.5	− 2586	−4.5	× 121 / 833	−0.7
11	95,249	2522.0	− 2628	−106	× 127 / 833	−16.2
Sum, rounded to a whole point						−29

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,403	2409.6	− 2436	−26.4	× 95 / 812	−3.1
4	95,404	2460.9	− 2485	−24.1	× 110 / 812	−3.3
5	95,406	2513.7	− 2528	−14.3	× 107 / 812	−1.9
6	95,408	2515.2	− 2552	−36.8	× 115 / 812	−5.2
7	95,410	2554.5	− 2567	−12.5	× 146 / 812	−2.2
8	95,413	2559.4	− 2586	−26.6	× 114 / 812	−3.7
11	95,415	2548.6	− 2628	−79.4	× 125 / 812	−12.2
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,067	2440.5	− 2436	4.5	× 102 / 759	0.6
4	96,068	2469.2	− 2485	−15.8	× 97 / 759	−2
5	96,069	2505.1	− 2528	−22.9	× 101 / 759	−3
6	96,070	2526.4	− 2552	−25.6	× 117 / 759	−3.9
7	96,071	2570.3	− 2567	3.3	× 114 / 759	0.5
8	96,072	2580.2	− 2586	−5.8	× 139 / 759	−1.1
11	96,073	2558.8	− 2628	−69.2	× 89 / 759	−8.1
Sum, rounded to a whole point						−17

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,960	2427.3	− 2436	−8.7	× 108 / 698	−1.3
4	93,961	2454.5	− 2485	−30.5	× 106 / 698	−4.6
5	93,962	2518.0	− 2528	−10	× 106 / 698	−1.5
6	93,963	2535.4	− 2552	−16.6	× 95 / 698	−2.3
7	93,964	2561.8	− 2567	−5.2	× 93 / 698	−0.7
8	93,965	2576.6	− 2586	−9.4	× 103 / 698	−1.4
11	93,966	2545.6	− 2628	−82.4	× 87 / 698	−10.3
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,223	2445.6	− 2436	9.6	× 99 / 756	1.3
4	96,224	2468.0	− 2485	−17	× 107 / 756	−2.4
5	96,225	2509.5	− 2528	−18.5	× 103 / 756	−2.5
6	96,226	2537.0	− 2552	−15	× 106 / 756	−2.1
7	96,227	2574.8	− 2567	7.8	× 95 / 756	1
8	96,228	2576.1	− 2586	−9.9	× 104 / 756	−1.4
11	96,229	2528.0	− 2628	−100	× 142 / 756	−18.8
Sum, rounded to a whole point						−25

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,090	2429.7	− 2436	−6.3	× 111 / 749	−0.9
4	96,091	2472.4	− 2485	−12.6	× 107 / 749	−1.8
5	96,092	2505.8	− 2528	−22.2	× 108 / 749	−3.2
6	96,093	2525.1	− 2552	−26.9	× 104 / 749	−3.7
7	96,094	2556.2	− 2567	−10.8	× 107 / 749	−1.5
8	96,095	2583.8	− 2586	−2.2	× 102 / 749	−0.3
11	96,096	2501.3	− 2628	−126.7	× 110 / 749	−18.6
Sum, rounded to a whole point						−30

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,972	2458.9	− 2436	22.9	× 101 / 774	3
4	95,973	2491.7	− 2485	6.7	× 119 / 774	1
5	95,974	2512.8	− 2528	−15.2	× 109 / 774	−2.1
6	95,975	2529.7	− 2552	−22.3	× 113 / 774	−3.3
7	95,976	2546.9	− 2567	−20.1	× 101 / 774	−2.6
8	95,977	2576.2	− 2586	−9.8	× 107 / 774	−1.4
11	95,978	2490.6	− 2628	−137.4	× 124 / 774	−22
Sum, rounded to a whole point						−27

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,708	2435.6	− 2436	−0.4	× 109 / 755	−0.1
4	95,709	2494.1	− 2485	9.1	× 106 / 755	1.3
5	95,710	2521.8	− 2528	−6.2	× 109 / 755	−0.9
6	95,711	2518.1	− 2552	−33.9	× 106 / 755	−4.8
7	95,712	2530.5	− 2567	−36.5	× 105 / 755	−5.1
8	95,713	2585.7	− 2586	−0.3	× 97 / 755	0
11	95,714	2502.4	− 2628	−125.6	× 123 / 755	−20.5
Sum, rounded to a whole point						−30

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −30, −22, −29, −32, −17, −22, −25, −30, −27, −30 → −26.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 7 · 2017→2018: 3 · 2018→2019: 15 · 2019→2021: 5 · 2021→2022: 3 · 2022→2023: 5 · 2023→2024: 3 · 2024→2025: 3 → average 5.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.8 × 2.66 = 15.4. Upper limit −11, lower limit −41.8.

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 — for a county, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.