Tully C. Knoles: english

The shaded band is this school'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	78,990	2414.0	− 2432	−18	× 79 / 523	−2.7
4	78,993	2438.4	− 2473	−34.6	× 91 / 523	−6
5	78,994	2461.1	− 2502	−40.9	× 91 / 523	−7.1
6	78,997	2512.3	− 2531	−18.7	× 102 / 523	−3.6
7	78,998	2518.0	− 2552	−34	× 81 / 523	−5.3
8	79,001	2561.2	− 2567	−5.8	× 79 / 523	−0.9
Sum, rounded to a whole point						−26

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,196	2406.2	− 2432	−25.8	× 75 / 520	−3.7
4	73,198	2408.8	− 2473	−64.2	× 94 / 520	−11.6
5	73,201	2462.3	− 2502	−39.7	× 93 / 520	−7.1
6	73,203	2511.7	− 2531	−19.3	× 101 / 520	−3.7
7	73,205	2548.0	− 2552	−4	× 76 / 520	−0.6
8	73,206	2573.4	− 2567	6.4	× 81 / 520	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	75,160	2423.5	− 2432	−8.5	× 79 / 503	−1.3
4	75,161	2420.3	− 2473	−52.7	× 76 / 503	−8
5	75,163	2454.8	− 2502	−47.2	× 87 / 503	−8.2
6	75,166	2482.4	− 2531	−48.6	× 102 / 503	−9.9
7	75,168	2522.5	− 2552	−29.5	× 81 / 503	−4.8
8	75,169	2572.9	− 2567	5.9	× 78 / 503	0.9
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	75,350	2457.0	− 2432	25	× 68 / 470	3.6
4	75,353	2432.9	− 2473	−40.1	× 78 / 470	−6.7
5	75,354	2443.6	− 2502	−58.4	× 73 / 470	−9.1
6	75,357	2488.1	− 2531	−42.9	× 94 / 470	−8.6
7	75,358	2526.9	− 2552	−25.1	× 80 / 470	−4.3
8	75,361	2560.5	− 2567	−6.5	× 77 / 470	−1.1
Sum, rounded to a whole point						−26

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,876	2455.8	− 2432	23.8	× 76 / 479	3.8
4	75,877	2466.6	− 2473	−6.4	× 65 / 479	−0.9
5	75,878	2459.7	− 2502	−42.3	× 85 / 479	−7.5
6	75,879	2461.4	− 2531	−69.6	× 87 / 479	−12.6
7	75,880	2541.0	− 2552	−11	× 82 / 479	−1.9
8	75,881	2552.1	− 2567	−14.9	× 84 / 479	−2.6
Sum, rounded to a whole point						−22

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,435	2398.5	− 2432	−33.5	× 73 / 378	−6.5
4	74,436	2411.6	− 2473	−61.4	× 69 / 378	−11.2
5	74,437	2447.1	− 2502	−54.9	× 62 / 378	−9
6	74,438	2472.6	− 2531	−58.4	× 66 / 378	−10.2
7	74,439	2500.7	− 2552	−51.3	× 50 / 378	−6.8
8	74,440	2520.5	− 2567	−46.5	× 58 / 378	−7.1
Sum, rounded to a whole point						−51

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,022	2426.8	− 2432	−5.2	× 70 / 392	−0.9
4	76,023	2432.7	− 2473	−40.3	× 62 / 392	−6.4
5	76,024	2473.0	− 2502	−29	× 66 / 392	−4.9
6	76,025	2474.2	− 2531	−56.8	× 71 / 392	−10.3
7	76,026	2518.1	− 2552	−33.9	× 73 / 392	−6.3
8	76,027	2525.5	− 2567	−41.5	× 50 / 392	−5.3
Sum, rounded to a whole point						−34

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,006	2420.7	− 2432	−11.3	× 69 / 384	−2
4	76,007	2456.7	− 2473	−16.3	× 63 / 384	−2.7
5	76,008	2457.4	− 2502	−44.6	× 65 / 384	−7.5
6	76,009	2492.2	− 2531	−38.8	× 70 / 384	−7.1
7	76,010	2523.4	− 2552	−28.6	× 47 / 384	−3.5
8	76,011	2523.7	− 2567	−43.3	× 70 / 384	−7.9
Sum, rounded to a whole point						−31

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,003	2390.1	− 2432	−41.9	× 70 / 417	−7
4	76,004	2428.4	− 2473	−44.6	× 69 / 417	−7.4
5	76,005	2423.7	− 2502	−78.3	× 65 / 417	−12.2
6	76,006	2468.8	− 2531	−62.2	× 77 / 417	−11.5
7	76,007	2484.2	− 2552	−67.8	× 81 / 417	−13.2
8	76,008	2508.8	− 2567	−58.2	× 55 / 417	−7.7
Sum, rounded to a whole point						−59

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,676	2449.0	− 2432	17	× 67 / 417	2.7
4	75,677	2416.8	− 2473	−56.2	× 67 / 417	−9
5	75,678	2416.1	− 2502	−85.9	× 73 / 417	−15
6	75,679	2463.8	− 2531	−67.2	× 73 / 417	−11.8
7	75,680	2503.8	− 2552	−48.2	× 62 / 417	−7.2
8	75,681	2523.6	− 2567	−43.4	× 75 / 417	−7.8
Sum, rounded to a whole point						−48

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −26, −26, −31, −26, −22, −51, −34, −31, −59, −48 → −35.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 5 · 2017→2018: 5 · 2018→2019: 4 · 2019→2021: 29 · 2021→2022: 17 · 2022→2023: 3 · 2023→2024: 28 · 2024→2025: 11 → average 11.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.3 × 2.66 = 30.1. Upper limit −5.3, lower limit −65.5.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.