Patterson Road 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	85,319	2382.5	− 2432	−49.5	× 86 / 389	−10.9
4	85,322	2467.1	− 2473	−5.9	× 113 / 389	−1.7
5	85,323	2461.7	− 2502	−40.3	× 90 / 389	−9.3
6	85,326	2505.3	− 2531	−25.7	× 100 / 389	−6.6
Sum, rounded to a whole point						−29

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,128	2408.0	− 2432	−24	× 102 / 403	−6.1
4	79,130	2450.4	− 2473	−22.6	× 89 / 403	−5
5	79,133	2506.9	− 2502	4.9	× 123 / 403	1.5
6	79,134	2508.8	− 2531	−22.2	× 89 / 403	−4.9
Sum, rounded to a whole point						−14

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,283	2396.2	− 2432	−35.8	× 113 / 419	−9.7
4	81,286	2454.8	− 2473	−18.2	× 97 / 419	−4.2
5	81,288	2475.6	− 2502	−26.4	× 86 / 419	−5.4
6	81,289	2543.9	− 2531	12.9	× 123 / 419	3.8
Sum, rounded to a whole point						−16

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,433	2439.6	− 2432	7.6	× 79 / 386	1.6
4	81,434	2440.1	− 2473	−32.9	× 118 / 386	−10.1
5	81,437	2486.6	− 2502	−15.4	× 102 / 386	−4.1
6	81,438	2515.1	− 2531	−15.9	× 87 / 386	−3.6
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,961	2445.6	− 2432	13.6	× 88 / 392	3.1
4	81,962	2454.2	− 2473	−18.8	× 83 / 392	−4
5	81,963	2499.3	− 2502	−2.7	× 119 / 392	−0.8
6	81,964	2527.5	− 2531	−3.5	× 102 / 392	−0.9
Sum, rounded to a whole point						−3

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,196	2427.8	− 2432	−4.2	× 77 / 358	−0.9
4	82,197	2478.6	− 2473	5.6	× 91 / 358	1.4
5	82,198	2483.1	− 2502	−18.9	× 95 / 358	−5
6	82,199	2523.5	− 2531	−7.5	× 95 / 358	−2
Sum, rounded to a whole point						−6

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,156	2413.6	− 2432	−18.4	× 111 / 367	−5.6
4	82,157	2482.8	− 2473	9.8	× 73 / 367	1.9
5	82,158	2490.7	− 2502	−11.3	× 88 / 367	−2.7
6	82,159	2500.1	− 2531	−30.9	× 95 / 367	−8
Sum, rounded to a whole point						−14

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,168	2391.7	− 2432	−40.3	× 71 / 351	−8.2
4	82,169	2464.9	− 2473	−8.1	× 110 / 351	−2.5
5	82,170	2496.9	− 2502	−5.1	× 74 / 351	−1.1
6	82,171	2536.3	− 2531	5.3	× 96 / 351	1.4
Sum, rounded to a whole point						−10

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,840	2366.7	− 2432	−65.3	× 89 / 356	−16.3
4	81,841	2458.4	− 2473	−14.6	× 77 / 356	−3.2
5	81,842	2493.7	− 2502	−8.3	× 106 / 356	−2.5
6	81,843	2544.7	− 2531	13.7	× 84 / 356	3.2
Sum, rounded to a whole point						−19

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −29, −14, −16, −16, −3, −6, −14, −10, −19 → −14.1
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: 2 · 2017→2018: 0 · 2018→2019: 13 · 2019→2022: 3 · 2022→2023: 8 · 2023→2024: 4 · 2024→2025: 9 → 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 4, lower limit −32.2.

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