Williams Unified: 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	5,695	2376.5	− 2432	−55.5	× 111 / 655	−9.4
4	5,698	2399.0	− 2473	−74	× 109 / 655	−12.3
5	5,699	2435.9	− 2502	−66.1	× 94 / 655	−9.5
6	5,702	2454.5	− 2531	−76.5	× 90 / 655	−10.5
7	5,703	2515.0	− 2552	−37	× 83 / 655	−4.7
8	5,706	2497.6	− 2567	−69.4	× 84 / 655	−8.9
11	5,707	2558.8	− 2583	−24.2	× 84 / 655	−3.1
Sum, rounded to a whole point						−58

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,161	2378.2	− 2432	−53.8	× 106 / 684	−8.3
4	5,163	2402.6	− 2473	−70.4	× 109 / 684	−11.2
5	5,164	2441.1	− 2502	−60.9	× 106 / 684	−9.4
6	5,167	2444.6	− 2531	−86.4	× 93 / 684	−11.7
7	5,169	2478.0	− 2552	−74	× 88 / 684	−9.5
8	5,171	2522.7	− 2567	−44.3	× 87 / 684	−5.6
11	5,172	2587.7	− 2583	4.7	× 95 / 684	0.7
Sum, rounded to a whole point						−55

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,267	2383.4	− 2432	−48.6	× 107 / 684	−7.6
4	5,268	2404.8	− 2473	−68.2	× 107 / 684	−10.7
5	5,271	2445.6	− 2502	−56.4	× 107 / 684	−8.8
6	5,273	2459.8	− 2531	−71.2	× 108 / 684	−11.2
7	5,275	2473.9	− 2552	−78.1	× 80 / 684	−9.1
8	5,277	2487.7	− 2567	−79.3	× 87 / 684	−10.1
11	5,278	2599.5	− 2583	16.5	× 88 / 684	2.1
Sum, rounded to a whole point						−55

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,270	2388.4	− 2432	−43.6	× 112 / 694	−7
4	5,273	2417.4	− 2473	−55.6	× 108 / 694	−8.7
5	5,275	2447.4	− 2502	−54.6	× 100 / 694	−7.9
6	5,277	2473.7	− 2531	−57.3	× 104 / 694	−8.6
7	5,278	2457.2	− 2552	−94.8	× 105 / 694	−14.3
8	5,281	2437.3	− 2567	−129.7	× 87 / 694	−16.3
11	5,283	2507.0	− 2583	−76	× 78 / 694	−8.5
Sum, rounded to a whole point						−71

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,310	2378.5	− 2432	−53.5	× 95 / 707	−7.2
4	5,311	2392.8	− 2473	−80.2	× 107 / 707	−12.1
5	5,312	2446.3	− 2502	−55.7	× 107 / 707	−8.4
6	5,313	2458.7	− 2531	−72.3	× 104 / 707	−10.6
7	5,314	2487.4	− 2552	−64.6	× 102 / 707	−9.3
8	5,315	2474.0	− 2567	−93	× 104 / 707	−13.7
11	5,316	2569.7	− 2583	−13.3	× 88 / 707	−1.7
Sum, rounded to a whole point						−63

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,147	2373.6	− 2432	−58.4	× 95 / 699	−7.9
4	5,148	2398.0	− 2473	−75	× 87 / 699	−9.3
5	5,149	2469.1	− 2502	−32.9	× 94 / 699	−4.4
6	5,150	2461.6	− 2531	−69.4	× 103 / 699	−10.2
7	5,151	2457.2	− 2552	−94.8	× 105 / 699	−14.2
8	5,152	2484.0	− 2567	−83	× 116 / 699	−13.8
11	5,153	2500.2	− 2583	−82.8	× 99 / 699	−11.7
Sum, rounded to a whole point						−72

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,149	2352.3	− 2432	−79.7	× 96 / 666	−11.5
4	5,150	2406.4	− 2473	−66.6	× 95 / 666	−9.5
5	5,151	2427.8	− 2502	−74.2	× 84 / 666	−9.4
6	5,152	2492.1	− 2531	−38.9	× 89 / 666	−5.2
7	5,153	2478.6	− 2552	−73.4	× 100 / 666	−11
8	5,154	2496.2	− 2567	−70.8	× 105 / 666	−11.2
11	5,155	2565.9	− 2583	−17.1	× 97 / 666	−2.5
Sum, rounded to a whole point						−60

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,084	2371.5	− 2432	−60.5	× 90 / 647	−8.4
4	5,085	2386.0	− 2473	−87	× 98 / 647	−13.2
5	5,086	2419.6	− 2502	−82.4	× 93 / 647	−11.8
6	5,087	2471.7	− 2531	−59.3	× 85 / 647	−7.8
7	5,088	2510.3	− 2552	−41.7	× 91 / 647	−5.9
8	5,089	2513.7	− 2567	−53.3	× 100 / 647	−8.2
11	5,090	2562.2	− 2583	−20.8	× 90 / 647	−2.9
Sum, rounded to a whole point						−58

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,048	2373.0	− 2432	−59	× 92 / 624	−8.7
4	5,049	2427.3	− 2473	−45.7	× 88 / 624	−6.4
5	5,050	2420.4	− 2502	−81.6	× 89 / 624	−11.6
6	5,051	2472.5	− 2531	−58.5	× 99 / 624	−9.3
7	5,052	2490.6	− 2552	−61.4	× 82 / 624	−8.1
8	5,053	2549.0	− 2567	−18	× 85 / 624	−2.5
11	5,054	2547.5	− 2583	−35.5	× 89 / 624	−5.1
Sum, rounded to a whole point						−52

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,044	2371.2	− 2432	−60.8	× 94 / 635	−9
4	5,045	2426.9	− 2473	−46.1	× 89 / 635	−6.5
5	5,046	2440.2	− 2502	−61.8	× 92 / 635	−9
6	5,047	2459.6	− 2531	−71.4	× 88 / 635	−9.9
7	5,048	2483.0	− 2552	−69	× 95 / 635	−10.3
8	5,049	2514.3	− 2567	−52.7	× 83 / 635	−6.9
11	5,050	2545.8	− 2583	−37.2	× 94 / 635	−5.5
Sum, rounded to a whole point						−57

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −58, −55, −55, −71, −63, −72, −60, −58, −52, −57 → −60.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 0 · 2017→2018: 16 · 2018→2019: 8 · 2019→2022: 9 · 2022→2023: 12 · 2023→2024: 2 · 2024→2025: 6 · 2025→2026: 5 → 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 −42, lower limit −78.2.

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 Williams Unified

Elementary schools

Middle and high schools

Williams Junior/Senior High