Fine Arts Academy: 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 8.

4th The average 4th grader meets the grade 4 bar. 2516 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2555 vs. 2528.
6th The average 6th grader scores 21 points under the grade 6 bar. 2531 vs. 2552.
7th The average 7th grader scores just under the grade 6 bar. 2552 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 17 points under the grade 8 bar. 2569 vs. 2586.

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
4	81,646	2460.8	− 2485	−24.2	× 29 / 208	−3.4
5	81,648	2490.0	− 2528	−38	× 46 / 208	−8.4
6	81,651	2550.1	− 2552	−1.9	× 39 / 208	−0.4
7	81,652	2561.5	− 2567	−5.5	× 39 / 208	−1
8	81,654	2567.9	− 2586	−18.1	× 55 / 208	−4.8
Sum, rounded to a whole point						−18

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	75,697	2483.0	− 2485	−2	× 28 / 196	−0.3
5	75,699	2501.8	− 2528	−26.2	× 29 / 196	−3.9
6	75,701	2522.7	− 2552	−29.3	× 55 / 196	−8.2
7	75,702	2570.6	− 2567	3.6	× 46 / 196	0.8
8	75,705	2564.7	− 2586	−21.3	× 38 / 196	−4.1
Sum, rounded to a whole point						−16

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	77,725	2492.2	− 2485	7.2	× 58 / 248	1.7
5	77,727	2482.5	− 2528	−45.5	× 42 / 248	−7.7
6	77,730	2501.3	− 2552	−50.7	× 50 / 248	−10.2
7	77,731	2536.5	− 2567	−30.5	× 49 / 248	−6
8	77,733	2570.0	− 2586	−16	× 49 / 248	−3.2
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	77,892	2470.6	− 2485	−14.4	× 31 / 248	−1.8
5	77,895	2517.7	− 2528	−10.3	× 62 / 248	−2.6
6	77,896	2555.9	− 2552	3.9	× 59 / 248	0.9
7	77,899	2542.2	− 2567	−24.8	× 54 / 248	−5.4
8	77,900	2578.7	− 2586	−7.3	× 42 / 248	−1.2
Sum, rounded to a whole point						−10

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,426	2479.3	− 2485	−5.7	× 32 / 233	−0.8
5	78,427	2497.4	− 2528	−30.6	× 31 / 233	−4.1
6	78,428	2523.1	− 2552	−28.9	× 63 / 233	−7.8
7	78,429	2551.6	− 2567	−15.4	× 60 / 233	−4
8	78,430	2541.6	− 2586	−44.4	× 47 / 233	−9
Sum, rounded to a whole point						−26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,678	2482.3	− 2485	−2.7	× 32 / 150	−0.6
5	78,679	2537.7	− 2528	9.7	× 27 / 150	1.7
6	78,680	2529.2	− 2552	−22.8	× 34 / 150	−5.2
7	78,681	2521.7	− 2567	−45.3	× 29 / 150	−8.8
8	78,682	2548.5	− 2586	−37.5	× 28 / 150	−7
Sum, rounded to a whole point						−20

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,664	2507.8	− 2485	22.8	× 27 / 171	3.6
5	78,665	2523.9	− 2528	−4.1	× 30 / 171	−0.7
6	78,666	2509.4	− 2552	−42.6	× 41 / 171	−10.2
7	78,667	2566.1	− 2567	−0.9	× 40 / 171	−0.2
8	78,668	2543.8	− 2586	−42.2	× 33 / 171	−8.1
Sum, rounded to a whole point						−16

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,690	2474.6	− 2485	−10.4	× 45 / 217	−2.2
5	78,691	2539.1	− 2528	11.1	× 36 / 217	1.8
6	78,692	2512.0	− 2552	−40	× 54 / 217	−10
7	78,693	2547.7	− 2567	−19.3	× 39 / 217	−3.5
8	78,694	2599.8	− 2586	13.8	× 43 / 217	2.7
Sum, rounded to a whole point						−11

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,366	2495.7	− 2485	10.7	× 29 / 236	1.3
5	78,367	2542.0	− 2528	14	× 57 / 236	3.4
6	78,368	2487.4	− 2552	−64.6	× 59 / 236	−16.2
7	78,369	2524.6	− 2567	−42.4	× 50 / 236	−9
8	78,370	2568.7	− 2586	−17.3	× 41 / 236	−3
Sum, rounded to a whole point						−23

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	78,280	2515.8	− 2485	30.8	× 44 / 221	6.1
5	78,281	2555.2	− 2528	27.2	× 31 / 221	3.8
6	78,282	2530.6	− 2552	−21.4	× 59 / 221	−5.7
7	78,283	2551.9	− 2567	−15.1	× 51 / 221	−3.5
8	78,284	2568.8	− 2586	−17.2	× 36 / 221	−2.8
Sum, rounded to a whole point						−2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −18, −16, −25, −10, −26, −20, −16, −11, −23, −2 → −16.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 9 · 2017→2018: 15 · 2018→2019: 16 · 2019→2022: 6 · 2022→2023: 4 · 2023→2024: 5 · 2024→2025: 12 · 2025→2026: 21 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit 9.9, lower limit −43.3.

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.