Marcum-Illinois Union 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	98,638	2401.1	− 2432	−30.9	× 17 / 121	−4.3
4	98,641	2470.4	− 2473	−2.6	× 21 / 121	−0.5
5	98,642	2531.0	− 2502	29	× 20 / 121	4.8
6	98,645	2532.2	− 2531	1.2	× 22 / 121	0.2
7	98,646	2543.3	− 2552	−8.7	× 18 / 121	−1.3
8	98,649	2574.3	− 2567	7.3	× 23 / 121	1.4
Sum, rounded to a whole point						0

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,370	2430.3	− 2432	−1.7	× 15 / 98	−0.3
4	91,373	2478.4	− 2473	5.4	× 16 / 98	0.9
5	91,375	2518.2	− 2502	16.2	× 18 / 98	3
6	91,377	2594.1	− 2531	63.1	× 16 / 98	10.3
7	91,378	2559.2	− 2552	7.2	× 19 / 98	1.4
8	91,380	2562.6	− 2567	−4.4	× 14 / 98	−0.6
Sum, rounded to a whole point						15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,134	2452.6	− 2432	20.6	× 16 / 107	3.1
4	94,136	2483.6	− 2473	10.6	× 16 / 107	1.6
5	94,138	2513.6	− 2502	11.6	× 17 / 107	1.8
6	94,140	2546.3	− 2531	15.3	× 21 / 107	3
7	94,142	2604.0	− 2552	52	× 18 / 107	8.7
8	94,145	2613.8	− 2567	46.8	× 19 / 107	8.3
Sum, rounded to a whole point						27

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,345	2425.8	− 2432	−6.2	× 18 / 94	−1.2
4	94,346	2535.1	− 2473	62.1	× 13 / 94	8.6
5	94,349	2473.5	− 2502	−28.5	× 17 / 94	−5.2
6	94,350	2519.4	− 2531	−11.6	× 16 / 94	−2
7	94,353	2532.8	− 2552	−19.2	× 18 / 94	−3.7
8	94,354	2642.8	− 2567	75.8	× 12 / 94	9.7
Sum, rounded to a whole point						6

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,971	2438.5	− 2432	6.5	× 16 / 99	1.1
4	94,972	2529.9	− 2473	56.9	× 16 / 99	9.2
5	94,973	2540.4	− 2502	38.4	× 15 / 99	5.8
6	94,974	2497.5	− 2531	−33.5	× 17 / 99	−5.8
7	94,975	2534.1	− 2552	−17.9	× 17 / 99	−3.1
8	94,976	2593.8	− 2567	26.8	× 18 / 99	4.9
Sum, rounded to a whole point						12

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,948	2437.6	− 2432	5.6	× 21 / 110	1.1
4	92,949	2450.2	− 2473	−22.8	× 21 / 110	−4.4
5	92,950	2459.5	− 2502	−42.5	× 16 / 110	−6.2
6	92,951	2554.1	− 2531	23.1	× 16 / 110	3.4
7	92,952	2571.2	− 2552	19.2	× 18 / 110	3.1
8	92,953	2574.3	− 2567	7.3	× 18 / 110	1.2
Sum, rounded to a whole point						−2

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,213	2442.5	− 2432	10.5	× 21 / 120	1.8
4	95,214	2504.2	− 2473	31.2	× 23 / 120	6
5	95,215	2471.1	− 2502	−30.9	× 22 / 120	−5.7
6	95,216	2515.8	− 2531	−15.2	× 20 / 120	−2.5
7	95,217	2587.9	− 2552	35.9	× 18 / 120	5.4
8	95,218	2574.8	− 2567	7.8	× 16 / 120	1
Sum, rounded to a whole point						6

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,111	2455.9	− 2432	23.9	× 19 / 122	3.7
4	95,112	2510.9	− 2473	37.9	× 18 / 122	5.6
5	95,113	2489.0	− 2502	−13	× 23 / 122	−2.5
6	95,114	2516.0	− 2531	−15	× 23 / 122	−2.8
7	95,115	2569.0	− 2552	17	× 21 / 122	2.9
8	95,116	2584.6	− 2567	17.6	× 18 / 122	2.6
Sum, rounded to a whole point						10

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,976	2434.4	− 2432	2.4	× 20 / 114	0.4
4	94,977	2484.7	− 2473	11.7	× 18 / 114	1.8
5	94,978	2512.9	− 2502	10.9	× 17 / 114	1.6
6	94,979	2552.2	− 2531	21.2	× 20 / 114	3.7
7	94,980	2586.9	− 2552	34.9	× 22 / 114	6.7
8	94,981	2547.8	− 2567	−19.2	× 17 / 114	−2.9
Sum, rounded to a whole point						11

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,708	2500.1	− 2432	68.1	× 14 / 110	8.7
4	94,709	2479.6	− 2473	6.6	× 19 / 110	1.1
5	94,710	2521.8	− 2502	19.8	× 17 / 110	3.1
6	94,711	2536.7	− 2531	5.7	× 18 / 110	0.9
7	94,712	2595.1	− 2552	43.1	× 19 / 110	7.4
8	94,713	2556.3	− 2567	−10.7	× 23 / 110	−2.2
Sum, rounded to a whole point						19

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,314	2431.8	− 2432	−0.2	× 21 / 115	0
4	94,315	2513.3	− 2473	40.3	× 16 / 115	5.6
5	94,316	2478.2	− 2502	−23.8	× 21 / 115	−4.3
6	94,317	2536.5	− 2531	5.5	× 19 / 115	0.9
7	94,318	2608.7	− 2552	56.7	× 18 / 115	8.9
8	94,319	2574.2	− 2567	7.2	× 20 / 115	1.3
Sum, rounded to a whole point						12

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 0, 15, 27, 6, 12, −2, 6, 10, 11, 19, 12 → 10.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 12 · 2017→2018: 21 · 2018→2019: 6 · 2019→2021: 14 · 2021→2022: 8 · 2022→2023: 4 · 2023→2024: 1 · 2024→2025: 8 · 2025→2026: 7 → average 9.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.6 × 2.66 = 25.5. Upper limit 36, lower limit −15.

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.

Marcum-Illinois Union Elementary