Language 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.

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	74,583	2412.6	− 2436	−23.4	× 119 / 586	−4.8
4	74,585	2461.9	− 2485	−23.1	× 116 / 586	−4.6
5	74,587	2491.1	− 2528	−36.9	× 115 / 586	−7.2
6	74,589	2546.5	− 2552	−5.5	× 88 / 586	−0.8
7	74,591	2540.4	− 2567	−26.6	× 72 / 586	−3.3
8	74,593	2549.9	− 2586	−36.1	× 76 / 586	−4.7
Sum, rounded to a whole point						−25

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,289	2399.9	− 2436	−36.1	× 113 / 581	−7
4	69,291	2469.9	− 2485	−15.1	× 114 / 581	−3
5	69,292	2513.6	− 2528	−14.4	× 105 / 581	−2.6
6	69,295	2525.2	− 2552	−26.8	× 99 / 581	−4.6
7	69,297	2577.3	− 2567	10.3	× 82 / 581	1.5
8	69,299	2571.6	− 2586	−14.4	× 68 / 581	−1.7
Sum, rounded to a whole point						−17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,121	2414.0	− 2436	−22	× 120 / 600	−4.4
4	71,123	2448.5	− 2485	−36.5	× 111 / 600	−6.8
5	71,125	2507.8	− 2528	−20.2	× 100 / 600	−3.4
6	71,128	2540.1	− 2552	−11.9	× 90 / 600	−1.8
7	71,130	2524.9	− 2567	−42.1	× 100 / 600	−7
8	71,132	2580.6	− 2586	−5.4	× 79 / 600	−0.7
Sum, rounded to a whole point						−24

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,267	2418.5	− 2436	−17.5	× 105 / 597	−3.1
4	71,268	2472.2	− 2485	−12.8	× 114 / 597	−2.4
5	71,271	2505.9	− 2528	−22.1	× 107 / 597	−4
6	71,272	2551.2	− 2552	−0.8	× 95 / 597	−0.1
7	71,275	2589.8	− 2567	22.8	× 87 / 597	3.3
8	71,276	2573.5	− 2586	−12.5	× 89 / 597	−1.9
Sum, rounded to a whole point						−8

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,757	2422.4	− 2436	−13.6	× 93 / 566	−2.2
4	71,758	2474.8	− 2485	−10.2	× 102 / 566	−1.8
5	71,759	2515.4	− 2528	−12.6	× 110 / 566	−2.4
6	71,760	2566.3	− 2552	14.3	× 96 / 566	2.4
7	71,761	2578.9	− 2567	11.9	× 84 / 566	1.8
8	71,762	2617.2	− 2586	31.2	× 81 / 566	4.5
Sum, rounded to a whole point						2

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,843	2409.2	− 2436	−26.8	× 116 / 587	−5.3
4	71,844	2453.0	− 2485	−32	× 113 / 587	−6.2
5	71,845	2486.9	− 2528	−41.1	× 110 / 587	−7.7
6	71,846	2555.7	− 2552	3.7	× 78 / 587	0.5
7	71,847	2565.5	− 2567	−1.5	× 78 / 587	−0.2
8	71,848	2587.0	− 2586	1	× 92 / 587	0.2
Sum, rounded to a whole point						−19

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,837	2432.3	− 2436	−3.7	× 113 / 571	−0.7
4	71,838	2471.0	− 2485	−14	× 109 / 571	−2.7
5	71,839	2477.6	− 2528	−50.4	× 104 / 571	−9.2
6	71,840	2569.3	− 2552	17.3	× 97 / 571	2.9
7	71,841	2584.1	− 2567	17.1	× 73 / 571	2.2
8	71,842	2600.4	− 2586	14.4	× 75 / 571	1.9
Sum, rounded to a whole point						−6

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,819	2419.7	− 2436	−16.3	× 117 / 587	−3.2
4	71,820	2480.3	− 2485	−4.7	× 114 / 587	−0.9
5	71,821	2491.8	− 2528	−36.2	× 103 / 587	−6.4
6	71,822	2561.8	− 2552	9.8	× 89 / 587	1.5
7	71,823	2602.5	− 2567	35.5	× 92 / 587	5.6
8	71,824	2619.7	− 2586	33.7	× 72 / 587	4.1
Sum, rounded to a whole point						1

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,535	2429.1	− 2436	−6.9	× 114 / 604	−1.3
4	71,536	2463.6	− 2485	−21.4	× 119 / 604	−4.2
5	71,537	2502.6	− 2528	−25.4	× 113 / 604	−4.8
6	71,538	2567.9	− 2552	15.9	× 82 / 604	2.2
7	71,539	2582.6	− 2567	15.6	× 89 / 604	2.3
8	71,540	2649.6	− 2586	63.6	× 87 / 604	9.2
Sum, rounded to a whole point						3

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −25, −17, −24, −8, 2, −19, −6, 1, 3 → −10.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 7 · 2017→2018: 16 · 2018→2019: 10 · 2019→2022: 21 · 2022→2023: 13 · 2023→2024: 7 · 2024→2025: 2 → average 10.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.5 × 2.66 = 27.9. Upper limit 17.6, lower limit −38.2.

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.