Scotia 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	14,130	2349.1	− 2436	−86.9	× 32 / 152	−18.3
4	14,133	2437.3	− 2485	−47.7	× 18 / 152	−5.6
5	14,134	2435.8	− 2528	−92.2	× 32 / 152	−19.4
6	14,137	2487.9	− 2552	−64.1	× 31 / 152	−13.1
7	14,138	2535.4	− 2567	−31.6	× 18 / 152	−3.7
8	14,141	2539.8	− 2586	−46.2	× 21 / 152	−6.4
Sum, rounded to a whole point						−67

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,151	2418.2	− 2436	−17.8	× 27 / 155	−3.1
4	13,153	2412.3	− 2485	−72.7	× 30 / 155	−14.1
5	13,154	2475.1	− 2528	−52.9	× 21 / 155	−7.2
6	13,157	2533.7	− 2552	−18.3	× 29 / 155	−3.4
7	13,158	2570.0	− 2567	3	× 25 / 155	0.5
8	13,161	2593.0	− 2586	7	× 23 / 155	1
Sum, rounded to a whole point						−26

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,481	2402.2	− 2436	−33.8	× 21 / 141	−5
4	13,484	2441.0	− 2485	−44	× 26 / 141	−8.1
5	13,486	2438.0	− 2528	−90	× 24 / 141	−15.3
6	13,488	2521.9	− 2552	−30.1	× 16 / 141	−3.4
7	13,490	2573.4	− 2567	6.4	× 30 / 141	1.4
8	13,492	2584.5	− 2586	−1.5	× 24 / 141	−0.3
Sum, rounded to a whole point						−31

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,477	2404.9	− 2436	−31.1	× 18 / 137	−4.1
4	13,479	2425.3	− 2485	−59.7	× 24 / 137	−10.5
5	13,481	2444.1	− 2528	−83.9	× 24 / 137	−14.7
6	13,484	2507.0	− 2552	−45	× 23 / 137	−7.6
7	13,485	2586.5	− 2567	19.5	× 17 / 137	2.4
8	13,488	2576.8	− 2586	−9.2	× 31 / 137	−2.1
Sum, rounded to a whole point						−36

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,597	2400.3	− 2436	−35.7	× 19 / 120	−5.7
4	13,598	2467.3	− 2485	−17.7	× 18 / 120	−2.7
5	13,599	2504.0	− 2528	−24	× 21 / 120	−4.2
6	13,600	2552.3	− 2552	0.3	× 24 / 120	0.1
7	13,601	2520.0	− 2567	−47	× 20 / 120	−7.8
8	13,602	2634.2	− 2586	48.2	× 18 / 120	7.2
Sum, rounded to a whole point						−13

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,363	2442.6	− 2436	6.6	× 20 / 127	1
4	13,364	2486.3	− 2485	1.3	× 20 / 127	0.2
5	13,365	2449.2	− 2528	−78.8	× 18 / 127	−11.2
6	13,366	2547.2	− 2552	−4.8	× 19 / 127	−0.7
7	13,367	2552.7	− 2567	−14.3	× 23 / 127	−2.6
8	13,368	2560.1	− 2586	−25.9	× 27 / 127	−5.5
Sum, rounded to a whole point						−19

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,620	2424.2	− 2436	−11.8	× 27 / 121	−2.6
4	13,621	2438.6	− 2485	−46.4	× 21 / 121	−8.1
5	13,622	2450.4	− 2528	−77.6	× 19 / 121	−12.2
6	13,623	2531.3	− 2552	−20.7	× 16 / 121	−2.7
7	13,624	2598.6	− 2567	31.6	× 18 / 121	4.7
8	13,625	2576.7	− 2586	−9.3	× 20 / 121	−1.5
Sum, rounded to a whole point						−22

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,597	2386.0	− 2436	−50	× 12 / 106	−5.7
4	13,598	2423.1	− 2485	−61.9	× 22 / 106	−12.8
5	13,599	2445.6	− 2528	−82.4	× 19 / 106	−14.8
6	13,600	2528.0	− 2552	−24	× 22 / 106	−5
7	13,601	2555.8	− 2567	−11.2	× 13 / 106	−1.4
8	13,602	2554.5	− 2586	−31.5	× 18 / 106	−5.3
Sum, rounded to a whole point						−45

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,564	2465.1	− 2436	29.1	× 17 / 124	4
4	13,565	2457.2	− 2485	−27.8	× 17 / 124	−3.8
5	13,566	2574.6	− 2528	46.6	× 22 / 124	8.3
6	13,567	2544.7	− 2552	−7.3	× 23 / 124	−1.4
7	13,568	2543.1	− 2567	−23.9	× 27 / 124	−5.2
8	13,569	2486.0	− 2586	−100	× 18 / 124	−14.5
Sum, rounded to a whole point						−13

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,528	2480.0	− 2436	44	× 23 / 132	7.7
4	13,529	2497.6	− 2485	12.6	× 18 / 132	1.7
5	13,530	2629.3	− 2528	101.3	× 16 / 132	12.3
6	13,531	2595.8	− 2552	43.8	× 24 / 132	8
7	13,532	2596.3	− 2567	29.3	× 23 / 132	5.1
8	13,533	2580.1	− 2586	−5.9	× 28 / 132	−1.3
Sum, rounded to a whole point						33

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,528	2463.6	− 2436	27.6	× 17 / 118	4
4	13,529	2533.3	− 2485	48.3	× 20 / 118	8.2
5	13,530	2615.7	− 2528	87.7	× 14 / 118	10.4
6	13,531	2556.8	− 2552	4.8	× 20 / 118	0.8
7	13,532	2563.5	− 2567	−3.5	× 24 / 118	−0.7
8	13,533	2531.7	− 2586	−54.3	× 23 / 118	−10.6
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. −67, −26, −31, −36, −13, −19, −22, −45, −13, 33, 12 → −20.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 41 · 2016→2017: 5 · 2017→2018: 5 · 2018→2019: 23 · 2019→2021: 6 · 2021→2022: 3 · 2022→2023: 23 · 2023→2024: 32 · 2024→2025: 46 · 2025→2026: 21 → average 20.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 20.5 × 2.66 = 54.5. Upper limit 33.9, lower limit −75.1.

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.

Schools in Scotia Union Elementary

K–8 schools

Stanwood A. Murphy Elementary