Rescue Union Elementary: 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	9,327	2469.0	− 2436	33	× 403 / 2560	5.2
4	9,328	2498.1	− 2485	13.1	× 358 / 2560	1.8
5	9,331	2534.6	− 2528	6.6	× 444 / 2560	1.1
6	9,332	2567.4	− 2552	15.4	× 443 / 2560	2.7
7	9,335	2583.3	− 2567	16.3	× 451 / 2560	2.9
8	9,336	2605.3	− 2586	19.3	× 461 / 2560	3.5
Sum, rounded to a whole point						17

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,389	2477.7	− 2436	41.7	× 400 / 2587	6.4
4	8,390	2508.3	− 2485	23.3	× 421 / 2587	3.8
5	8,393	2539.0	− 2528	11	× 372 / 2587	1.6
6	8,395	2570.9	− 2552	18.9	× 464 / 2587	3.4
7	8,397	2583.6	− 2567	16.6	× 461 / 2587	3
8	8,398	2617.0	− 2586	31	× 469 / 2587	5.6
Sum, rounded to a whole point						24

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,677	2478.2	− 2436	42.2	× 367 / 2535	6.1
4	8,679	2514.9	− 2485	29.9	× 413 / 2535	4.9
5	8,681	2542.8	− 2528	14.8	× 442 / 2535	2.6
6	8,682	2568.7	− 2552	16.7	× 382 / 2535	2.5
7	8,684	2580.2	− 2567	13.2	× 464 / 2535	2.4
8	8,687	2606.4	− 2586	20.4	× 467 / 2535	3.8
Sum, rounded to a whole point						22

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,699	2475.6	− 2436	39.6	× 372 / 2464	6
4	8,700	2516.9	− 2485	31.9	× 376 / 2464	4.9
5	8,703	2548.9	− 2528	20.9	× 424 / 2464	3.6
6	8,704	2573.4	− 2552	21.4	× 436 / 2464	3.8
7	8,707	2595.7	− 2567	28.7	× 387 / 2464	4.5
8	8,708	2611.5	− 2586	25.5	× 469 / 2464	4.9
Sum, rounded to a whole point						28

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,759	2480.0	− 2436	44	× 352 / 2422	6.4
4	8,760	2512.0	− 2485	27	× 380 / 2422	4.2
5	8,761	2554.8	− 2528	26.8	× 392 / 2422	4.3
6	8,762	2568.1	− 2552	16.1	× 444 / 2422	3
7	8,763	2595.2	− 2567	28.2	× 453 / 2422	5.3
8	8,764	2616.1	− 2586	30.1	× 401 / 2422	5
Sum, rounded to a whole point						28

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,587	2481.2	− 2436	45.2	× 317 / 2068	6.9
4	8,588	2513.9	− 2485	28.9	× 335 / 2068	4.7
5	8,589	2542.9	− 2528	14.9	× 317 / 2068	2.3
6	8,590	2560.3	− 2552	8.3	× 352 / 2068	1.4
7	8,591	2569.3	− 2567	2.3	× 374 / 2068	0.4
8	8,592	2583.4	− 2586	−2.6	× 373 / 2068	−0.5
Sum, rounded to a whole point						15

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,708	2478.4	− 2436	42.4	× 361 / 2313	6.6
4	8,709	2521.2	− 2485	36.2	× 368 / 2313	5.8
5	8,710	2535.8	− 2528	7.8	× 396 / 2313	1.3
6	8,711	2561.0	− 2552	9	× 358 / 2313	1.4
7	8,712	2575.6	− 2567	8.6	× 403 / 2313	1.5
8	8,713	2577.3	− 2586	−8.7	× 427 / 2313	−1.6
Sum, rounded to a whole point						15

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,686	2493.6	− 2436	57.6	× 363 / 2286	9.1
4	8,687	2520.7	− 2485	35.7	× 374 / 2286	5.8
5	8,688	2545.3	− 2528	17.3	× 366 / 2286	2.8
6	8,689	2554.7	− 2552	2.7	× 413 / 2286	0.5
7	8,690	2582.3	− 2567	15.3	× 358 / 2286	2.4
8	8,691	2587.6	− 2586	1.6	× 412 / 2286	0.3
Sum, rounded to a whole point						21

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,632	2486.1	− 2436	50.1	× 367 / 2263	8.1
4	8,633	2527.3	− 2485	42.3	× 368 / 2263	6.9
5	8,634	2538.4	− 2528	10.4	× 363 / 2263	1.7
6	8,635	2568.7	− 2552	16.7	× 369 / 2263	2.7
7	8,636	2564.9	− 2567	−2.1	× 416 / 2263	−0.4
8	8,637	2588.3	− 2586	2.3	× 380 / 2263	0.4
Sum, rounded to a whole point						19

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,595	2480.0	− 2436	44	× 384 / 2293	7.4
4	8,596	2520.3	− 2485	35.3	× 373 / 2293	5.7
5	8,597	2553.7	− 2528	25.7	× 377 / 2293	4.2
6	8,598	2564.6	− 2552	12.6	× 370 / 2293	2
7	8,599	2583.4	− 2567	16.4	× 382 / 2293	2.7
8	8,600	2589.9	− 2586	3.9	× 407 / 2293	0.7
Sum, rounded to a whole point						23

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,617	2486.0	− 2436	50	× 351 / 2271	7.7
4	8,618	2517.5	− 2485	32.5	× 387 / 2271	5.5
5	8,619	2548.2	− 2528	20.2	× 375 / 2271	3.3
6	8,620	2568.1	− 2552	16.1	× 398 / 2271	2.8
7	8,621	2578.7	− 2567	11.7	× 377 / 2271	1.9
8	8,622	2603.2	− 2586	17.2	× 383 / 2271	2.9
Sum, rounded to a whole point						24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 17, 24, 22, 28, 28, 15, 15, 21, 19, 23, 24 → 21.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 2 · 2017→2018: 6 · 2018→2019: 0 · 2019→2021: 13 · 2021→2022: 0 · 2022→2023: 6 · 2023→2024: 2 · 2024→2025: 4 · 2025→2026: 1 → average 4.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.1 × 2.66 = 10.9. Upper limit 32.4, lower limit 10.6.

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.

Rescue Union Elementary