Cuyama Joint Unified: 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	85,428	2409.2	− 2436	−26.8	× 21 / 131	−4.3
4	85,429	2406.8	− 2485	−78.2	× 16 / 131	−9.6
5	85,432	2437.3	− 2528	−90.7	× 12 / 131	−8.3
6	85,433	2449.9	− 2552	−102.1	× 21 / 131	−16.4
7	85,436	2446.9	− 2567	−120.1	× 18 / 131	−16.5
8	85,437	2514.8	− 2586	−71.2	× 17 / 131	−9.2
11	85,440	2519.7	− 2628	−108.3	× 26 / 131	−21.5
Sum, rounded to a whole point						−86

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,240	2364.6	− 2436	−71.4	× 18 / 122	−10.5
4	79,243	2450.8	− 2485	−34.2	× 22 / 122	−6.2
5	79,244	2409.4	− 2528	−118.6	× 18 / 122	−17.5
6	79,247	2458.6	− 2552	−93.4	× 12 / 122	−9.2
7	79,248	2499.0	− 2567	−68	× 20 / 122	−11.1
8	79,251	2499.8	− 2586	−86.2	× 18 / 122	−12.7
11	79,252	2502.1	− 2628	−125.9	× 14 / 122	−14.4
Sum, rounded to a whole point						−82

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,391	2384.8	− 2436	−51.2	× 20 / 111	−9.2
4	81,393	2427.3	− 2485	−57.7	× 18 / 111	−9.4
5	81,395	2447.8	− 2528	−80.2	× 23 / 111	−16.6
6	81,397	2476.3	− 2552	−75.7	× 15 / 111	−10.2
8	81,401	2529.6	− 2586	−56.4	× 18 / 111	−9.1
11	81,404	2467.1	− 2628	−160.9	× 17 / 111	−24.6
Sum, rounded to a whole point						−79

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,548	2390.3	− 2436	−45.7	× 14 / 81	−7.9
4	81,551	2416.9	− 2485	−68.1	× 20 / 81	−16.8
5	81,552	2438.1	− 2528	−89.9	× 16 / 81	−17.8
6	81,555	2523.4	− 2552	−28.6	× 18 / 81	−6.4
7	81,556	2519.5	− 2567	−47.5	× 13 / 81	−7.6
Sum, rounded to a whole point						−56

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,073	2382.5	− 2436	−53.5	× 17 / 114	−8
4	82,074	2439.8	− 2485	−45.2	× 18 / 114	−7.1
5	82,075	2412.4	− 2528	−115.6	× 20 / 114	−20.3
6	82,076	2495.6	− 2552	−56.4	× 16 / 114	−7.9
7	82,077	2545.8	− 2567	−21.2	× 17 / 114	−3.2
8	82,078	2547.4	− 2586	−38.6	× 14 / 114	−4.7
11	82,079	2475.9	− 2628	−152.1	× 12 / 114	−16
Sum, rounded to a whole point						−67

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	80,426	2394.5	− 2485	−90.5	× 17 / 79	−19.5
5	80,427	2365.7	− 2528	−162.3	× 13 / 79	−26.7
6	80,428	2418.3	− 2552	−133.7	× 15 / 79	−25.4
7	80,429	2431.7	− 2567	−135.3	× 18 / 79	−30.8
8	80,430	2500.9	− 2586	−85.1	× 16 / 79	−17.2
Sum, rounded to a whole point						−120

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,304	2363.4	− 2436	−72.6	× 14 / 90	−11.3
5	82,306	2453.4	− 2528	−74.6	× 19 / 90	−15.7
6	82,307	2453.5	− 2552	−98.5	× 12 / 90	−13.1
7	82,308	2444.9	− 2567	−122.1	× 14 / 90	−19
8	82,309	2447.7	− 2586	−138.3	× 17 / 90	−26.1
11	82,310	2550.1	− 2628	−77.9	× 14 / 90	−12.1
Sum, rounded to a whole point						−97

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	82,269	2381.3	− 2485	−103.7	× 15 / 73	−21.3
6	82,271	2528.8	− 2552	−23.2	× 17 / 73	−5.4
7	82,272	2465.9	− 2567	−101.1	× 13 / 73	−18
8	82,273	2530.4	− 2586	−55.6	× 14 / 73	−10.7
11	82,274	2482.6	− 2628	−145.4	× 14 / 73	−27.9
Sum, rounded to a whole point						−83

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,288	2416.4	− 2436	−19.6	× 16 / 75	−4.2
5	82,290	2400.6	− 2528	−127.4	× 16 / 75	−27.2
7	82,292	2528.8	− 2567	−38.2	× 16 / 75	−8.1
8	82,293	2510.8	− 2586	−75.2	× 12 / 75	−12
11	82,294	2528.3	− 2628	−99.7	× 15 / 75	−19.9
Sum, rounded to a whole point						−71

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	81,961	2425.6	− 2485	−59.4	× 14 / 58	−14.3
6	81,963	2459.9	− 2552	−92.1	× 14 / 58	−22.2
8	81,965	2492.4	− 2586	−93.6	× 17 / 58	−27.4
11	81,966	2460.7	− 2628	−167.3	× 13 / 58	−37.5
Sum, rounded to a whole point						−102

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,878	2370.4	− 2436	−65.6	× 14 / 61	−15.1
5	81,880	2457.2	− 2528	−70.8	× 14 / 61	−16.2
7	81,882	2437.9	− 2567	−129.1	× 18 / 61	−38.1
11	81,884	2507.1	− 2628	−120.9	× 15 / 61	−29.7
Sum, rounded to a whole point						−99

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −86, −82, −79, −56, −67, −120, −97, −83, −71, −102, −99 → −85.6
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: 3 · 2017→2018: 23 · 2018→2019: 11 · 2019→2021: 53 · 2021→2022: 23 · 2022→2023: 14 · 2023→2024: 12 · 2024→2025: 31 · 2025→2026: 3 → average 17.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17.7 × 2.66 = 47.1. Upper limit −38.5, lower limit −132.7.

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.

Cuyama Joint Unified