Cambrian: english · Schoolio

The shaded band is this district'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	86,338	2444.8	− 2432	12.8	× 366 / 2216	2.1
4	86,340	2488.9	− 2473	15.9	× 386 / 2216	2.8
5	86,342	2532.6	− 2502	30.6	× 369 / 2216	5.1
6	86,344	2558.9	− 2531	27.9	× 400 / 2216	5
7	86,346	2585.1	− 2552	33.1	× 354 / 2216	5.3
8	86,348	2601.7	− 2567	34.7	× 341 / 2216	5.3
Sum, rounded to a whole point						26

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,131	2442.0	− 2432	10	× 349 / 2215	1.6
4	80,132	2485.8	− 2473	12.8	× 361 / 2215	2.1
5	80,135	2532.1	− 2502	30.1	× 395 / 2215	5.4
6	80,137	2577.5	− 2531	46.5	× 364 / 2215	7.6
7	80,138	2601.0	− 2552	49	× 391 / 2215	8.6
8	80,140	2619.6	− 2567	52.6	× 355 / 2215	8.4
Sum, rounded to a whole point						34

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,315	2447.0	− 2432	15	× 397 / 2314	2.6
4	82,317	2486.6	− 2473	13.6	× 352 / 2314	2.1
5	82,320	2515.1	− 2502	13.1	× 372 / 2314	2.1
6	82,321	2563.3	− 2531	32.3	× 413 / 2314	5.8
7	82,324	2609.5	− 2552	57.5	× 386 / 2314	9.6
8	82,326	2614.2	− 2567	47.2	× 394 / 2314	8
Sum, rounded to a whole point						30

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,518	2444.8	− 2432	12.8	× 356 / 2302	2
4	82,521	2505.6	− 2473	32.6	× 402 / 2302	5.7
5	82,522	2526.5	− 2502	24.5	× 357 / 2302	3.8
6	82,525	2560.2	− 2531	29.2	× 384 / 2302	4.9
7	82,526	2607.3	− 2552	55.3	× 410 / 2302	9.8
8	82,529	2610.1	− 2567	43.1	× 393 / 2302	7.4
Sum, rounded to a whole point						34

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,131	2458.0	− 2432	26	× 347 / 2205	4.1
4	83,132	2487.3	− 2473	14.3	× 335 / 2205	2.2
5	83,133	2536.1	− 2502	34.1	× 394 / 2205	6.1
6	83,134	2575.2	− 2531	44.2	× 357 / 2205	7.2
7	83,135	2605.2	− 2552	53.2	× 383 / 2205	9.2
8	83,136	2626.9	− 2567	59.9	× 389 / 2205	10.6
Sum, rounded to a whole point						39

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,332	2462.8	− 2432	30.8	× 317 / 2013	4.9
4	83,333	2514.8	− 2473	41.8	× 311 / 2013	6.5
5	83,334	2543.8	− 2502	41.8	× 340 / 2013	7.1
6	83,335	2558.9	− 2531	27.9	× 334 / 2013	4.6
7	83,336	2586.9	− 2552	34.9	× 323 / 2013	5.6
8	83,337	2622.0	− 2567	55	× 388 / 2013	10.6
Sum, rounded to a whole point						39

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,285	2460.4	− 2432	28.4	× 302 / 1951	4.4
4	83,286	2504.9	− 2473	31.9	× 304 / 1951	5
5	83,287	2547.4	− 2502	45.4	× 314 / 1951	7.3
6	83,288	2570.5	− 2531	39.5	× 382 / 1951	7.7
7	83,289	2599.4	− 2552	47.4	× 324 / 1951	7.9
8	83,290	2590.3	− 2567	23.3	× 325 / 1951	3.9
Sum, rounded to a whole point						36

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,296	2429.5	− 2432	−2.5	× 285 / 1982	−0.4
4	83,297	2506.9	− 2473	33.9	× 311 / 1982	5.3
5	83,298	2534.2	− 2502	32.2	× 312 / 1982	5.1
6	83,299	2556.9	− 2531	25.9	× 354 / 1982	4.6
7	83,300	2601.7	− 2552	49.7	× 390 / 1982	9.8
8	83,301	2610.2	− 2567	43.2	× 330 / 1982	7.2
Sum, rounded to a whole point						32

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,976	2441.2	− 2432	9.2	× 310 / 2027	1.4
4	82,977	2502.2	− 2473	29.2	× 288 / 2027	4.1
5	82,978	2554.2	− 2502	52.2	× 318 / 2027	8.2
6	82,979	2573.2	− 2531	42.2	× 365 / 2027	7.6
7	82,980	2618.0	− 2552	66	× 349 / 2027	11.4
8	82,981	2615.6	− 2567	48.6	× 397 / 2027	9.5
Sum, rounded to a whole point						42

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,787	2444.4	− 2432	12.4	× 297 / 1993	1.8
4	82,788	2489.8	− 2473	16.8	× 318 / 1993	2.7
5	82,789	2542.4	− 2502	40.4	× 296 / 1993	6
6	82,790	2579.3	− 2531	48.3	× 352 / 1993	8.5
7	82,791	2617.1	− 2552	65.1	× 375 / 1993	12.2
8	82,792	2612.7	− 2567	45.7	× 355 / 1993	8.1
Sum, rounded to a whole point						39

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 26, 34, 30, 34, 39, 39, 36, 32, 42, 39 → 35.1
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: 4 · 2017→2018: 4 · 2018→2019: 5 · 2019→2022: 0 · 2022→2023: 3 · 2023→2024: 4 · 2024→2025: 10 · 2025→2026: 3 → average 4.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.6 × 2.66 = 12.2. Upper limit 47.3, lower limit 22.9.

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 district, 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.

Cambrian