William Saroyan 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.

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	12,473	2375.5	− 2432	−56.5	× 90 / 391	−13
4	12,475	2426.6	− 2473	−46.4	× 100 / 391	−11.9
5	12,477	2480.3	− 2502	−21.7	× 104 / 391	−5.8
6	12,479	2514.0	− 2531	−17	× 97 / 391	−4.2
Sum, rounded to a whole point						−35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,501	2429.3	− 2432	−2.7	× 99 / 394	−0.7
4	11,502	2446.7	− 2473	−26.3	× 92 / 394	−6.1
5	11,504	2480.6	− 2502	−21.4	× 99 / 394	−5.4
6	11,507	2502.6	− 2531	−28.4	× 104 / 394	−7.5
Sum, rounded to a whole point						−20

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,832	2422.0	− 2432	−10	× 102 / 385	−2.6
4	11,834	2470.2	− 2473	−2.8	× 92 / 385	−0.7
5	11,836	2505.2	− 2502	3.2	× 95 / 385	0.8
6	11,838	2521.3	− 2531	−9.7	× 96 / 385	−2.4
Sum, rounded to a whole point						−5

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,868	2444.1	− 2432	12.1	× 110 / 400	3.3
4	11,871	2464.9	− 2473	−8.1	× 89 / 400	−1.8
5	11,872	2521.5	− 2502	19.5	× 97 / 400	4.7
6	11,875	2521.9	− 2531	−9.1	× 104 / 400	−2.4
Sum, rounded to a whole point						4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,956	2427.9	− 2432	−4.1	× 102 / 382	−1.1
4	11,957	2449.3	− 2473	−23.7	× 110 / 382	−6.8
5	11,958	2504.5	− 2502	2.5	× 76 / 382	0.5
6	11,959	2545.0	− 2531	14	× 94 / 382	3.4
Sum, rounded to a whole point						−4

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,947	2417.2	− 2432	−14.8	× 98 / 394	−3.7
4	11,948	2428.6	− 2473	−44.4	× 91 / 394	−10.3
5	11,949	2488.4	− 2502	−13.6	× 102 / 394	−3.5
6	11,950	2510.5	− 2531	−20.5	× 103 / 394	−5.4
Sum, rounded to a whole point						−23

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,930	2402.9	− 2432	−29.1	× 102 / 386	−7.7
4	11,931	2438.4	− 2473	−34.6	× 88 / 386	−7.9
5	11,932	2479.9	− 2502	−22.1	× 95 / 386	−5.4
6	11,933	2513.3	− 2531	−17.7	× 101 / 386	−4.6
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,893	2446.7	− 2432	14.7	× 98 / 385	3.7
4	11,894	2416.1	− 2473	−56.9	× 100 / 385	−14.8
5	11,895	2466.1	− 2502	−35.9	× 86 / 385	−8
6	11,896	2491.7	− 2531	−39.3	× 101 / 385	−10.3
Sum, rounded to a whole point						−29

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,836	2448.7	− 2432	16.7	× 73 / 343	3.6
4	11,837	2462.9	− 2473	−10.1	× 93 / 343	−2.7
5	11,838	2459.2	− 2502	−42.8	× 92 / 343	−11.5
6	11,839	2520.8	− 2531	−10.2	× 85 / 343	−2.5
Sum, rounded to a whole point						−13

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −35, −20, −5, 4, −4, −23, −26, −29, −13 → −16.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 15 · 2017→2018: 9 · 2018→2019: 8 · 2019→2022: 19 · 2022→2023: 3 · 2023→2024: 3 · 2024→2025: 16 → average 11
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11 × 2.66 = 29.3. Upper limit 12.5, lower limit −46.1.

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.