Eureka Union: math

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	53,821	2481.2	− 2436	45.2	× 325 / 2291	6.4
4	53,822	2511.7	− 2485	26.7	× 341 / 2291	4
5	53,825	2529.1	− 2528	1.1	× 365 / 2291	0.2
6	53,826	2558.9	− 2552	6.9	× 391 / 2291	1.2
7	53,829	2592.3	− 2567	25.3	× 415 / 2291	4.6
8	53,830	2625.9	− 2586	39.9	× 454 / 2291	7.9
Sum, rounded to a whole point						24

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,998	2495.4	− 2436	59.4	× 347 / 2262	9.1
4	50,000	2516.2	− 2485	31.2	× 324 / 2262	4.5
5	50,001	2543.8	− 2528	15.8	× 351 / 2262	2.5
6	50,003	2570.7	− 2552	18.7	× 390 / 2262	3.2
7	50,006	2584.2	− 2567	17.2	× 438 / 2262	3.3
8	50,008	2616.7	− 2586	30.7	× 412 / 2262	5.6
Sum, rounded to a whole point						28

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,407	2482.9	− 2436	46.9	× 333 / 2323	6.7
4	51,409	2524.6	− 2485	39.6	× 362 / 2323	6.2
5	51,411	2533.0	− 2528	5	× 358 / 2323	0.8
6	51,413	2577.9	− 2552	25.9	× 372 / 2323	4.1
7	51,416	2598.9	− 2567	31.9	× 448 / 2323	6.2
8	51,418	2614.4	− 2586	28.4	× 450 / 2323	5.5
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	51,436	2474.1	− 2436	38.1	× 352 / 2345	5.7
4	51,438	2518.3	− 2485	33.3	× 345 / 2345	4.9
5	51,440	2554.4	− 2528	26.4	× 382 / 2345	4.3
6	51,441	2568.5	− 2552	16.5	× 381 / 2345	2.7
7	51,444	2604.7	− 2567	37.7	× 415 / 2345	6.7
8	51,445	2627.7	− 2586	41.7	× 470 / 2345	8.4
Sum, rounded to a whole point						33

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,635	2487.6	− 2436	51.6	× 340 / 2291	7.7
4	51,636	2518.8	− 2485	33.8	× 345 / 2291	5.1
5	51,637	2540.3	− 2528	12.3	× 373 / 2291	2
6	51,638	2593.7	− 2552	41.7	× 403 / 2291	7.3
7	51,639	2603.7	− 2567	36.7	× 405 / 2291	6.5
8	51,640	2641.4	− 2586	55.4	× 425 / 2291	10.3
Sum, rounded to a whole point						39

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,404	2477.2	− 2436	41.2	× 304 / 2137	5.9
4	50,405	2510.1	− 2485	25.1	× 331 / 2137	3.9
5	50,406	2543.4	− 2528	15.4	× 337 / 2137	2.4
6	50,407	2580.0	− 2552	28	× 356 / 2137	4.7
7	50,408	2590.8	− 2567	23.8	× 374 / 2137	4.2
8	50,409	2607.6	− 2586	21.6	× 435 / 2137	4.4
Sum, rounded to a whole point						25

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,575	2493.6	− 2436	57.6	× 281 / 2038	7.9
4	51,576	2522.8	− 2485	37.8	× 294 / 2038	5.5
5	51,577	2532.3	− 2528	4.3	× 341 / 2038	0.7
6	51,578	2582.8	− 2552	30.8	× 341 / 2038	5.2
7	51,579	2601.5	− 2567	34.5	× 381 / 2038	6.4
8	51,580	2603.6	− 2586	17.6	× 400 / 2038	3.5
Sum, rounded to a whole point						29

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,540	2475.5	− 2436	39.5	× 334 / 2079	6.3
4	51,541	2530.1	− 2485	45.1	× 293 / 2079	6.4
5	51,542	2543.8	− 2528	15.8	× 315 / 2079	2.4
6	51,543	2579.2	− 2552	27.2	× 355 / 2079	4.6
7	51,544	2604.7	− 2567	37.7	× 390 / 2079	7.1
8	51,545	2633.6	− 2586	47.6	× 392 / 2079	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	51,354	2472.8	− 2436	36.8	× 346 / 2155	5.9
4	51,355	2527.0	− 2485	42	× 351 / 2155	6.8
5	51,356	2557.5	− 2528	29.5	× 316 / 2155	4.3
6	51,357	2596.6	− 2552	44.6	× 343 / 2155	7.1
7	51,358	2604.9	− 2567	37.9	× 399 / 2155	7
8	51,359	2640.0	− 2586	54	× 400 / 2155	10
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	51,142	2483.0	− 2436	47	× 355 / 2250	7.4
4	51,143	2519.4	− 2485	34.4	× 371 / 2250	5.7
5	51,144	2560.9	− 2528	32.9	× 380 / 2250	5.6
6	51,145	2610.0	− 2552	58	× 337 / 2250	8.7
7	51,146	2620.0	− 2567	53	× 386 / 2250	9.1
8	51,147	2633.9	− 2586	47.9	× 421 / 2250	9
Sum, rounded to a whole point						45

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,019	2492.8	− 2436	56.8	× 348 / 2324	8.5
4	51,020	2526.1	− 2485	41.1	× 395 / 2324	7
5	51,021	2550.5	− 2528	22.5	× 387 / 2324	3.7
6	51,022	2600.3	− 2552	48.3	× 414 / 2324	8.6
7	51,023	2628.9	− 2567	61.9	× 384 / 2324	10.2
8	51,024	2651.3	− 2586	65.3	× 396 / 2324	11.1
Sum, rounded to a whole point						49

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 24, 28, 29, 33, 39, 25, 29, 36, 41, 45, 49 → 34.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 1 · 2017→2018: 4 · 2018→2019: 6 · 2019→2021: 14 · 2021→2022: 4 · 2022→2023: 7 · 2023→2024: 5 · 2024→2025: 4 · 2025→2026: 4 → average 5.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.3 × 2.66 = 14.1. Upper limit 48.5, lower limit 20.3.

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.

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