Mariana 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	69,777	2383.9	− 2436	−52.1	× 65 / 392	−8.6
4	69,779	2402.3	− 2485	−82.7	× 64 / 392	−13.5
5	69,781	2422.8	− 2528	−105.2	× 68 / 392	−18.2
6	69,783	2450.6	− 2552	−101.4	× 61 / 392	−15.8
7	69,785	2460.6	− 2567	−106.4	× 69 / 392	−18.7
8	69,787	2498.4	− 2586	−87.6	× 65 / 392	−14.5
Sum, rounded to a whole point						−89

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,684	2391.4	− 2436	−44.6	× 74 / 388	−8.5
4	64,686	2424.8	− 2485	−60.2	× 61 / 388	−9.5
5	64,687	2415.5	− 2528	−112.5	× 65 / 388	−18.8
6	64,690	2445.9	− 2552	−106.1	× 64 / 388	−17.5
7	64,692	2485.2	− 2567	−81.8	× 57 / 388	−12
8	64,693	2514.4	− 2586	−71.6	× 67 / 388	−12.4
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	66,507	2407.1	− 2436	−28.9	× 72 / 431	−4.8
4	66,509	2414.8	− 2485	−70.2	× 81 / 431	−13.2
5	66,512	2417.5	− 2528	−110.5	× 78 / 431	−20
6	66,514	2449.3	− 2552	−102.7	× 69 / 431	−16.4
7	66,515	2452.1	− 2567	−114.9	× 69 / 431	−18.4
8	66,517	2508.8	− 2586	−77.2	× 62 / 431	−11.1
Sum, rounded to a whole point						−84

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,580	2413.7	− 2436	−22.3	× 64 / 421	−3.4
4	66,582	2442.1	− 2485	−42.9	× 64 / 421	−6.5
5	66,584	2423.6	− 2528	−104.4	× 77 / 421	−19.1
6	66,586	2433.9	− 2552	−118.1	× 83 / 421	−23.3
7	66,588	2456.5	− 2567	−110.5	× 73 / 421	−19.2
8	66,590	2480.4	− 2586	−105.6	× 60 / 421	−15
Sum, rounded to a whole point						−86

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,013	2419.0	− 2436	−17	× 74 / 457	−2.8
4	67,014	2442.1	− 2485	−42.9	× 63 / 457	−5.9
5	67,015	2446.9	− 2528	−81.1	× 74 / 457	−13.1
6	67,016	2426.9	− 2552	−125.1	× 78 / 457	−21.4
7	67,017	2453.4	− 2567	−113.6	× 91 / 457	−22.6
8	67,018	2473.9	− 2586	−112.1	× 77 / 457	−18.9
Sum, rounded to a whole point						−85

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,109	2376.2	− 2436	−59.8	× 64 / 430	−8.9
4	67,110	2367.8	− 2485	−117.2	× 67 / 430	−18.3
5	67,111	2400.5	− 2528	−127.5	× 74 / 430	−21.9
6	67,112	2417.2	− 2552	−134.8	× 84 / 430	−26.3
7	67,113	2430.4	− 2567	−136.6	× 69 / 430	−21.9
8	67,114	2446.2	− 2586	−139.8	× 72 / 430	−23.4
Sum, rounded to a whole point						−121

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,119	2367.6	− 2436	−68.4	× 94 / 510	−12.6
4	67,120	2386.3	− 2485	−98.7	× 70 / 510	−13.5
5	67,121	2390.8	− 2528	−137.2	× 78 / 510	−21
6	67,122	2420.9	− 2552	−131.1	× 82 / 510	−21.1
7	67,123	2427.9	− 2567	−139.1	× 96 / 510	−26.2
8	67,124	2436.4	− 2586	−149.6	× 90 / 510	−26.4
Sum, rounded to a whole point						−121

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,105	2398.8	− 2436	−37.2	× 69 / 522	−4.9
4	67,106	2398.7	− 2485	−86.3	× 101 / 522	−16.7
5	67,107	2419.4	− 2528	−108.6	× 81 / 522	−16.9
6	67,108	2430.8	− 2552	−121.2	× 92 / 522	−21.4
7	67,109	2418.7	− 2567	−148.3	× 81 / 522	−23
8	67,110	2454.2	− 2586	−131.8	× 98 / 522	−24.7
Sum, rounded to a whole point						−108

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,857	2389.3	− 2436	−46.7	× 79 / 530	−7
4	66,858	2398.1	− 2485	−86.9	× 87 / 530	−14.3
5	66,859	2394.8	− 2528	−133.2	× 105 / 530	−26.4
6	66,860	2415.7	− 2552	−136.3	× 81 / 530	−20.8
7	66,861	2425.0	− 2567	−142	× 100 / 530	−26.8
8	66,862	2414.2	− 2586	−171.8	× 78 / 530	−25.3
Sum, rounded to a whole point						−121

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −89, −79, −84, −86, −85, −121, −121, −108, −121 → −99.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 5 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 36 · 2022→2023: 0 · 2023→2024: 13 · 2024→2025: 13 → 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 −72.7, lower limit −125.9.

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.