Centralia Elementary: english

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	48,969	2426.8	− 2432	−5.2	× 635 / 2551	−1.3
4	48,970	2464.8	− 2473	−8.2	× 658 / 2551	−2.1
5	48,973	2505.9	− 2502	3.9	× 633 / 2551	1
6	48,974	2544.3	− 2531	13.3	× 625 / 2551	3.3
Sum, rounded to a whole point						1

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,517	2448.9	− 2432	16.9	× 616 / 2534	4.1
4	45,520	2497.6	− 2473	24.6	× 628 / 2534	6.1
5	45,522	2526.9	− 2502	24.9	× 648 / 2534	6.4
6	45,524	2559.7	− 2531	28.7	× 642 / 2534	7.3
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	46,725	2441.7	− 2432	9.7	× 607 / 2535	2.3
4	46,728	2494.7	− 2473	21.7	× 626 / 2535	5.4
5	46,730	2529.1	− 2502	27.1	× 642 / 2535	6.9
6	46,732	2552.7	− 2531	21.7	× 660 / 2535	5.6
Sum, rounded to a whole point						20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,735	2454.2	− 2432	22.2	× 582 / 2444	5.3
4	46,738	2500.6	− 2473	27.6	× 602 / 2444	6.8
5	46,739	2526.3	− 2502	24.3	× 629 / 2444	6.3
6	46,742	2564.9	− 2531	33.9	× 631 / 2444	8.8
Sum, rounded to a whole point						27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,910	2456.5	− 2432	24.5	× 542 / 2354	5.6
4	46,911	2502.2	− 2473	29.2	× 573 / 2354	7.1
5	46,912	2540.8	− 2502	38.8	× 609 / 2354	10
6	46,913	2567.4	− 2531	36.4	× 630 / 2354	9.7
Sum, rounded to a whole point						33

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,746	2438.2	− 2432	6.2	× 563 / 2262	1.5
4	46,747	2493.5	− 2473	20.5	× 552 / 2262	5
5	46,748	2518.5	− 2502	16.5	× 611 / 2262	4.5
6	46,749	2565.8	− 2531	34.8	× 536 / 2262	8.2
Sum, rounded to a whole point						19

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,736	2446.7	− 2432	14.7	× 526 / 2229	3.5
4	46,737	2484.0	− 2473	11	× 559 / 2229	2.8
5	46,738	2525.4	− 2502	23.4	× 551 / 2229	5.8
6	46,739	2547.7	− 2531	16.7	× 593 / 2229	4.4
Sum, rounded to a whole point						16

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,589	2440.2	− 2432	8.2	× 520 / 2176	2
4	46,590	2485.1	− 2473	12.1	× 540 / 2176	3
5	46,591	2517.3	− 2502	15.3	× 559 / 2176	3.9
6	46,592	2561.9	− 2531	30.9	× 557 / 2176	7.9
Sum, rounded to a whole point						17

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,347	2436.5	− 2432	4.5	× 554 / 2160	1.2
4	46,348	2486.3	− 2473	13.3	× 508 / 2160	3.1
5	46,349	2530.5	− 2502	28.5	× 533 / 2160	7
6	46,350	2554.7	− 2531	23.7	× 565 / 2160	6.2
Sum, rounded to a whole point						18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,219	2433.0	− 2432	1	× 487 / 2102	0.2
4	46,220	2487.2	− 2473	14.2	× 551 / 2102	3.7
5	46,221	2524.5	− 2502	22.5	× 512 / 2102	5.5
6	46,222	2557.6	− 2531	26.6	× 552 / 2102	7
Sum, rounded to a whole point						16

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 1, 24, 20, 27, 33, 19, 16, 17, 18, 16 → 19.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 23 · 2016→2017: 4 · 2017→2018: 7 · 2018→2019: 6 · 2019→2022: 14 · 2022→2023: 3 · 2023→2024: 1 · 2024→2025: 1 · 2025→2026: 2 → average 6.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.8 × 2.66 = 18.1. Upper limit 37.2, lower limit 1.

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.

Centralia Elementary