Royal Oaks 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

3rd The average 3rd grader scores 33 points under the grade 3 bar. 2403 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2432 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 27 points under the grade 4 bar. 2459 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 4 bar. 2485 vs. 2485. The 6th-grade bar is 2552.

2026 results. "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	101,771	2422.1	− 2436	−13.9	× 73 / 300	−3.4
4	101,774	2444.0	− 2485	−41	× 72 / 300	−9.8
5	101,775	2470.0	− 2528	−58	× 72 / 300	−13.9
6	101,778	2506.8	− 2552	−45.2	× 83 / 300	−12.5
Sum, rounded to a whole point						−40

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,483	2393.7	− 2436	−42.3	× 85 / 294	−12.2
4	94,486	2472.1	− 2485	−12.9	× 74 / 294	−3.2
5	94,488	2479.0	− 2528	−49	× 68 / 294	−11.3
6	94,490	2499.4	− 2552	−52.6	× 67 / 294	−12
Sum, rounded to a whole point						−39

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,263	2388.9	− 2436	−47.1	× 71 / 305	−11
4	97,264	2423.3	− 2485	−61.7	× 91 / 305	−18.4
5	97,267	2485.6	− 2528	−42.4	× 72 / 305	−10
6	97,269	2490.3	− 2552	−61.7	× 71 / 305	−14.4
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,444	2399.3	− 2436	−36.7	× 64 / 294	−8
4	97,445	2441.8	− 2485	−43.2	× 66 / 294	−9.7
5	97,448	2442.8	− 2528	−85.2	× 91 / 294	−26.4
6	97,449	2517.9	− 2552	−34.1	× 73 / 294	−8.5
Sum, rounded to a whole point						−53

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,096	2410.3	− 2436	−25.7	× 77 / 305	−6.5
4	98,097	2452.1	− 2485	−32.9	× 75 / 305	−8.1
5	98,098	2483.9	− 2528	−44.1	× 63 / 305	−9.1
6	98,099	2484.0	− 2552	−68	× 90 / 305	−20.1
Sum, rounded to a whole point						−44

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,296	2373.1	− 2436	−62.9	× 121 / 476	−16
4	98,297	2415.6	− 2485	−69.4	× 102 / 476	−14.9
5	98,298	2429.2	− 2528	−98.8	× 113 / 476	−23.5
6	98,299	2481.9	− 2552	−70.1	× 140 / 476	−20.6
Sum, rounded to a whole point						−75

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,137	2360.2	− 2436	−75.8	× 97 / 368	−20
4	98,138	2432.8	− 2485	−52.2	× 87 / 368	−12.3
5	98,139	2470.8	− 2528	−57.2	× 65 / 368	−10.1
6	98,140	2454.9	− 2552	−97.1	× 68 / 368	−17.9
7	98,141	2473.1	− 2567	−93.9	× 39 / 368	−10
8	98,142	2434.2	− 2586	−151.8	× 12 / 368	−5
Sum, rounded to a whole point						−75

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,044	2360.5	− 2436	−75.5	× 72 / 328	−16.6
4	98,045	2410.4	− 2485	−74.6	× 76 / 328	−17.3
5	98,046	2468.3	− 2528	−59.7	× 74 / 328	−13.5
6	98,047	2476.0	− 2552	−76	× 61 / 328	−14.1
7	98,048	2421.5	− 2567	−145.5	× 18 / 328	−8
8	98,049	2483.8	− 2586	−102.2	× 27 / 328	−8.4
Sum, rounded to a whole point						−78

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,743	2403.3	− 2436	−32.7	× 45 / 232	−6.3
4	97,744	2411.5	− 2485	−73.5	× 59 / 232	−18.7
5	97,745	2432.5	− 2528	−95.5	× 64 / 232	−26.3
6	97,746	2508.1	− 2552	−43.9	× 64 / 232	−12.1
Sum, rounded to a whole point						−63

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,371	2403.4	− 2436	−32.6	× 47 / 192	−8
4	97,372	2431.5	− 2485	−53.5	× 41 / 192	−11.4
5	97,373	2458.5	− 2528	−69.5	× 48 / 192	−17.4
6	97,374	2484.5	− 2552	−67.5	× 56 / 192	−19.7
Sum, rounded to a whole point						−56

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −40, −39, −54, −53, −44, −75, −75, −78, −63, −56 → −57.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 15 · 2017→2018: 1 · 2018→2019: 9 · 2019→2022: 31 · 2022→2023: 0 · 2023→2024: 3 · 2024→2025: 15 · 2025→2026: 7 → average 9.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.1 × 2.66 = 24.2. Upper limit −33.5, lower limit −81.9.

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.