Virginia Rocca Barton Elementary: math

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	45,418	2369.8	− 2436	−66.2	× 109 / 364	−19.8
4	45,419	2398.3	− 2485	−86.7	× 105 / 364	−25
5	45,422	2429.3	− 2528	−98.7	× 85 / 364	−23
6	45,423	2507.0	− 2552	−45	× 65 / 364	−8
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,122	2396.3	− 2436	−39.7	× 112 / 414	−10.7
4	42,124	2407.1	− 2485	−77.9	× 110 / 414	−20.7
5	42,126	2436.3	− 2528	−91.7	× 104 / 414	−23
6	42,127	2434.3	− 2552	−117.7	× 88 / 414	−25
Sum, rounded to a whole point						−79

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,162	2383.3	− 2436	−52.7	× 114 / 435	−13.8
4	43,165	2412.4	− 2485	−72.6	× 105 / 435	−17.5
5	43,167	2448.8	− 2528	−79.2	× 105 / 435	−19.1
6	43,169	2458.6	− 2552	−93.4	× 111 / 435	−23.8
Sum, rounded to a whole point						−74

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,169	2369.3	− 2436	−66.7	× 103 / 437	−15.7
4	43,172	2415.3	− 2485	−69.7	× 113 / 437	−18
5	43,173	2458.3	− 2528	−69.7	× 113 / 437	−18
6	43,176	2475.4	− 2552	−76.6	× 108 / 437	−18.9
Sum, rounded to a whole point						−71

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,293	2423.0	− 2436	−13	× 120 / 446	−3.5
4	43,294	2429.2	− 2485	−55.8	× 98 / 446	−12.3
5	43,295	2443.6	− 2528	−84.4	× 110 / 446	−20.8
6	43,296	2472.0	− 2552	−80	× 118 / 446	−21.2
Sum, rounded to a whole point						−58

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,033	2401.8	− 2436	−34.2	× 72 / 341	−7.2
4	43,034	2429.9	− 2485	−55.1	× 87 / 341	−14.1
5	43,035	2442.1	− 2528	−85.9	× 85 / 341	−21.4
6	43,036	2490.8	− 2552	−61.2	× 97 / 341	−17.4
Sum, rounded to a whole point						−60

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,051	2413.7	− 2436	−22.3	× 65 / 298	−4.9
4	43,052	2424.0	− 2485	−61	× 69 / 298	−14.1
5	43,053	2457.8	− 2528	−70.2	× 88 / 298	−20.7
6	43,054	2505.6	− 2552	−46.4	× 76 / 298	−11.8
Sum, rounded to a whole point						−52

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,879	2413.9	− 2436	−22.1	× 75 / 320	−5.2
4	42,880	2419.7	− 2485	−65.3	× 67 / 320	−13.7
5	42,881	2431.0	− 2528	−97	× 73 / 320	−22.1
6	42,882	2472.9	− 2552	−79.1	× 105 / 320	−26
Sum, rounded to a whole point						−67

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,634	2411.4	− 2436	−24.6	× 76 / 327	−5.7
4	42,635	2409.8	− 2485	−75.2	× 86 / 327	−19.8
5	42,636	2394.9	− 2528	−133.1	× 85 / 327	−34.6
6	42,637	2465.6	− 2552	−86.4	× 80 / 327	−21.1
Sum, rounded to a whole point						−81

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −79, −74, −71, −58, −60, −52, −67, −81 → −68.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 5 · 2017→2018: 3 · 2018→2019: 13 · 2019→2022: 2 · 2022→2023: 8 · 2023→2024: 15 · 2024→2025: 14 → average 7.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.9 × 2.66 = 21. Upper limit −47.7, lower limit −89.7.

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.