Hamilton Elementary: 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.

Measured against the grade bars

The state's English test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 8.

3rd The average 3rd grader scores 62 points under the grade 3 bar. 2370 vs. 2432.
4th The average 4th grader scores just under the grade 3 bar. 2424 vs. 2432. The 4th-grade bar is 2473.
5th The average 5th grader scores 10 points under the grade 5 bar. 2492 vs. 2502.
6th The average 6th grader scores just under the grade 5 bar. 2494 vs. 2502. The 6th-grade bar is 2531.
7th The average 7th grader scores just under the grade 5 bar. 2498 vs. 2502. The 7th-grade bar is 2552.
8th The average 8th grader scores just under the grade 5 bar. 2501 vs. 2502. The 8th-grade bar is 2567.

2026 results. The English test covers reading, writing, listening and research together. "Meets standard" is the state's mark for being on track for that grade.

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	11,231	2403.6	− 2432	−28.4	× 86 / 559	−4.4
4	11,232	2406.6	− 2473	−66.4	× 90 / 559	−10.7
5	11,235	2480.3	− 2502	−21.7	× 92 / 559	−3.6
6	11,236	2486.9	− 2531	−44.1	× 78 / 559	−6.2
7	11,239	2493.1	− 2552	−58.9	× 105 / 559	−11.1
8	11,240	2513.6	− 2567	−53.4	× 108 / 559	−10.3
Sum, rounded to a whole point						−46

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,244	2398.7	− 2432	−33.3	× 71 / 576	−4.1
4	10,246	2408.9	− 2473	−64.1	× 86 / 576	−9.6
5	10,249	2459.1	− 2502	−42.9	× 86 / 576	−6.4
6	10,251	2487.6	− 2531	−43.4	× 84 / 576	−6.3
7	10,252	2460.2	− 2552	−91.8	× 132 / 576	−21
8	10,254	2513.8	− 2567	−53.2	× 117 / 576	−10.8
Sum, rounded to a whole point						−58

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,577	2438.4	− 2432	6.4	× 67 / 566	0.8
4	10,578	2413.5	− 2473	−59.5	× 74 / 566	−7.8
5	10,580	2436.4	− 2502	−65.6	× 84 / 566	−9.7
6	10,583	2450.5	− 2531	−80.5	× 80 / 566	−11.4
7	10,585	2493.1	− 2552	−58.9	× 147 / 566	−15.3
8	10,586	2474.6	− 2567	−92.4	× 114 / 566	−18.6
Sum, rounded to a whole point						−62

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,590	2407.1	− 2432	−24.9	× 88 / 598	−3.7
4	10,593	2420.8	− 2473	−52.2	× 78 / 598	−6.8
5	10,594	2440.8	− 2502	−61.2	× 70 / 598	−7.2
6	10,597	2470.7	− 2531	−60.3	× 87 / 598	−8.8
7	10,598	2478.7	− 2552	−73.3	× 125 / 598	−15.3
8	10,601	2500.5	− 2567	−66.5	× 150 / 598	−16.7
Sum, rounded to a whole point						−58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,662	2419.3	− 2432	−12.7	× 88 / 619	−1.8
4	10,663	2440.7	− 2473	−32.3	× 90 / 619	−4.7
5	10,664	2468.1	− 2502	−33.9	× 79 / 619	−4.3
6	10,665	2485.4	− 2531	−45.6	× 74 / 619	−5.5
7	10,666	2475.1	− 2552	−76.9	× 164 / 619	−20.4
8	10,667	2480.1	− 2567	−86.9	× 124 / 619	−17.4
Sum, rounded to a whole point						−54

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,653	2397.0	− 2432	−35	× 63 / 505	−4.4
4	10,654	2429.9	− 2473	−43.1	× 66 / 505	−5.6
5	10,655	2459.1	− 2502	−42.9	× 65 / 505	−5.5
6	10,656	2490.3	− 2531	−40.7	× 71 / 505	−5.7
7	10,657	2490.1	− 2552	−61.9	× 119 / 505	−14.6
8	10,658	2499.6	− 2567	−67.4	× 121 / 505	−16.1
Sum, rounded to a whole point						−52

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,643	2396.7	− 2432	−35.3	× 66 / 542	−4.3
4	10,644	2447.9	− 2473	−25.1	× 75 / 542	−3.5
5	10,645	2468.4	− 2502	−33.6	× 74 / 542	−4.6
6	10,646	2504.7	− 2531	−26.3	× 80 / 542	−3.9
7	10,647	2481.4	− 2552	−70.6	× 123 / 542	−16
8	10,648	2502.0	− 2567	−65	× 124 / 542	−14.9
Sum, rounded to a whole point						−47

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,603	2402.3	− 2432	−29.7	× 69 / 542	−3.8
4	10,604	2423.0	− 2473	−50	× 64 / 542	−5.9
5	10,605	2469.9	− 2502	−32.1	× 78 / 542	−4.6
6	10,606	2507.3	− 2531	−23.7	× 76 / 542	−3.3
7	10,607	2491.8	− 2552	−60.2	× 133 / 542	−14.8
8	10,608	2492.9	− 2567	−74.1	× 122 / 542	−16.7
Sum, rounded to a whole point						−49

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,578	2400.6	− 2432	−31.4	× 59 / 547	−3.4
4	10,579	2424.5	− 2473	−48.5	× 72 / 547	−6.4
5	10,580	2462.7	− 2502	−39.3	× 71 / 547	−5.1
6	10,581	2512.7	− 2531	−18.3	× 75 / 547	−2.5
7	10,582	2486.7	− 2552	−65.3	× 131 / 547	−15.6
8	10,583	2507.8	− 2567	−59.2	× 139 / 547	−15
Sum, rounded to a whole point						−48

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,610	2370.4	− 2432	−61.6	× 62 / 515	−7.4
4	10,611	2423.8	− 2473	−49.2	× 51 / 515	−4.9
5	10,612	2491.7	− 2502	−10.3	× 70 / 515	−1.4
6	10,613	2493.6	− 2531	−37.4	× 71 / 515	−5.2
7	10,614	2497.6	− 2552	−54.4	× 137 / 515	−14.5
8	10,615	2500.9	− 2567	−66.1	× 124 / 515	−15.9
Sum, rounded to a whole point						−49

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −46, −58, −62, −58, −54, −52, −47, −49, −48, −49 → −52.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 4 · 2017→2018: 4 · 2018→2019: 4 · 2019→2022: 2 · 2022→2023: 5 · 2023→2024: 2 · 2024→2025: 1 · 2025→2026: 1 → average 3.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.9 × 2.66 = 10.4. Upper limit −41.9, lower limit −62.7.

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