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 6.

All students

3rd The average 3rd grader scores 59 points under the grade 3 bar. 2373 vs. 2432.
4th The average 4th grader scores just under the grade 4 bar. 2469 vs. 2473.
5th The average 5th grader scores 27 points under the grade 5 bar. 2476 vs. 2502.
6th The average 6th grader scores 15 points under the grade 6 bar. 2516 vs. 2531.

Students fluent in English

The closest these results come to reading alone: English is not in the way. Includes students who have only ever spoken English.

Grade bars 3rd 63 students 63 points under the grade 3 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 11 students 36 points under the grade 3 bar.

the group's average that grade's own bar the distance between

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. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	18,751	2385.3	− 2432	−46.7	× 79 / 292	−12.6
4	18,752	2417.6	− 2473	−55.4	× 82 / 292	−15.6
5	18,755	2459.3	− 2502	−42.7	× 64 / 292	−9.4
6	18,756	2477.5	− 2531	−53.5	× 67 / 292	−12.3
Sum, rounded to a whole point						−50

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,749	2386.7	− 2432	−45.3	× 58 / 257	−10.2
4	17,752	2444.2	− 2473	−28.8	× 73 / 257	−8.2
5	17,753	2477.7	− 2502	−24.3	× 67 / 257	−6.3
6	17,756	2502.1	− 2531	−28.9	× 59 / 257	−6.6
Sum, rounded to a whole point						−31

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,090	2402.6	− 2432	−29.4	× 73 / 278	−7.7
4	18,091	2434.5	− 2473	−38.5	× 55 / 278	−7.6
5	18,093	2453.0	− 2502	−49	× 82 / 278	−14.5
6	18,096	2511.2	− 2531	−19.8	× 68 / 278	−4.8
Sum, rounded to a whole point						−35

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,098	2425.2	− 2432	−6.8	× 73 / 279	−1.8
4	18,101	2443.0	− 2473	−30	× 80 / 279	−8.6
5	18,102	2473.6	− 2502	−28.4	× 54 / 279	−5.5
6	18,105	2517.1	− 2531	−13.9	× 72 / 279	−3.6
Sum, rounded to a whole point						−19

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,241	2395.4	− 2432	−36.6	× 49 / 253	−7.1
4	18,242	2456.0	− 2473	−17	× 66 / 253	−4.4
5	18,243	2469.0	− 2502	−33	× 81 / 253	−10.6
6	18,244	2516.1	− 2531	−14.9	× 57 / 253	−3.4
Sum, rounded to a whole point						−25

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,808	2363.0	− 2432	−69	× 33 / 180	−12.7
4	17,809	2401.5	− 2473	−71.5	× 37 / 180	−14.7
5	17,810	2457.7	− 2502	−44.3	× 57 / 180	−14
6	17,811	2495.0	− 2531	−36	× 53 / 180	−10.6
Sum, rounded to a whole point						−52

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,286	2403.7	− 2432	−28.3	× 49 / 226	−6.1
4	18,287	2420.3	− 2473	−52.7	× 60 / 226	−14
5	18,288	2470.5	− 2502	−31.5	× 71 / 226	−9.9
6	18,289	2515.1	− 2531	−15.9	× 46 / 226	−3.2
Sum, rounded to a whole point						−33

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,225	2408.4	− 2432	−23.6	× 62 / 250	−5.9
4	18,226	2448.7	− 2473	−24.3	× 56 / 250	−5.4
5	18,227	2450.6	− 2502	−51.4	× 63 / 250	−13
6	18,228	2498.5	− 2531	−32.5	× 69 / 250	−9
Sum, rounded to a whole point						−33

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,182	2391.2	− 2432	−40.8	× 46 / 233	−8.1
4	18,183	2433.0	− 2473	−40	× 62 / 233	−10.6
5	18,184	2441.0	− 2502	−61	× 61 / 233	−16
6	18,185	2491.2	− 2531	−39.8	× 64 / 233	−10.9
Sum, rounded to a whole point						−46

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,176	2421.0	− 2432	−11	× 46 / 220	−2.3
4	18,177	2437.6	− 2473	−35.4	× 55 / 220	−8.9
5	18,178	2453.7	− 2502	−48.3	× 61 / 220	−13.4
6	18,179	2519.8	− 2531	−11.2	× 58 / 220	−3
Sum, rounded to a whole point						−27

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,215	2372.7	− 2432	−59.3	× 74 / 229	−19.2
4	18,216	2468.6	− 2473	−4.4	× 42 / 229	−0.8
5	18,217	2475.5	− 2502	−26.5	× 51 / 229	−5.9
6	18,218	2515.8	− 2531	−15.2	× 62 / 229	−4.1
Sum, rounded to a whole point						−30

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −50, −31, −35, −19, −25, −52, −33, −33, −46, −27, −30 → −34.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 4 · 2017→2018: 16 · 2018→2019: 6 · 2019→2021: 27 · 2021→2022: 19 · 2022→2023: 0 · 2023→2024: 13 · 2024→2025: 19 · 2025→2026: 3 → average 12.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.6 × 2.66 = 33.5. Upper limit −1.1, lower limit −68.1.

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