Norton Science And 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	64,144	2386.4	− 2436	−49.6	× 98 / 369	−13.2
4	64,147	2397.0	− 2485	−88	× 83 / 369	−19.8
5	64,148	2425.5	− 2528	−102.5	× 81 / 369	−22.5
6	64,151	2425.4	− 2552	−126.6	× 66 / 369	−22.6
7	64,152	2456.5	− 2567	−110.5	× 20 / 369	−6
8	64,155	2446.6	− 2586	−139.4	× 21 / 369	−7.9
Sum, rounded to a whole point						−92

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,496	2405.0	− 2436	−31	× 89 / 395	−7
4	59,497	2406.3	− 2485	−78.7	× 91 / 395	−18.1
5	59,500	2423.7	− 2528	−104.3	× 74 / 395	−19.5
6	59,502	2452.8	− 2552	−99.2	× 70 / 395	−17.6
7	59,504	2483.4	− 2567	−83.6	× 54 / 395	−11.4
8	59,505	2498.8	− 2586	−87.2	× 17 / 395	−3.8
Sum, rounded to a whole point						−77

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,237	2394.4	− 2436	−41.6	× 90 / 409	−9.2
4	61,239	2414.7	− 2485	−70.3	× 74 / 409	−12.7
5	61,241	2426.9	− 2528	−101.1	× 77 / 409	−19
6	61,242	2420.1	− 2552	−131.9	× 60 / 409	−19.3
7	61,244	2480.2	− 2567	−86.8	× 60 / 409	−12.7
8	61,247	2481.2	− 2586	−104.8	× 48 / 409	−12.3
Sum, rounded to a whole point						−85

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,351	2420.9	− 2436	−15.1	× 97 / 427	−3.4
4	61,354	2443.9	− 2485	−41.1	× 84 / 427	−8.1
5	61,355	2461.2	− 2528	−66.8	× 65 / 427	−10.2
6	61,358	2491.0	− 2552	−61	× 68 / 427	−9.7
7	61,359	2476.9	− 2567	−90.1	× 52 / 427	−11
8	61,362	2503.3	− 2586	−82.7	× 61 / 427	−11.8
Sum, rounded to a whole point						−54

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,603	2406.8	− 2436	−29.2	× 102 / 436	−6.8
4	61,604	2436.1	− 2485	−48.9	× 93 / 436	−10.4
5	61,605	2485.6	− 2528	−42.4	× 76 / 436	−7.4
6	61,606	2505.4	− 2552	−46.6	× 54 / 436	−5.8
7	61,607	2509.5	− 2567	−57.5	× 59 / 436	−7.8
8	61,608	2489.0	− 2586	−97	× 52 / 436	−11.6
Sum, rounded to a whole point						−50

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,686	2387.2	− 2436	−48.8	× 110 / 595	−9
4	61,687	2404.7	− 2485	−80.3	× 94 / 595	−12.7
5	61,688	2435.6	− 2528	−92.4	× 90 / 595	−14
6	61,689	2429.8	− 2552	−122.2	× 118 / 595	−24.2
7	61,690	2461.4	− 2567	−105.6	× 105 / 595	−18.6
8	61,691	2467.1	− 2586	−118.9	× 78 / 595	−15.6
Sum, rounded to a whole point						−94

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,624	2388.1	− 2436	−47.9	× 100 / 633	−7.6
4	61,625	2404.3	− 2485	−80.7	× 103 / 633	−13.1
5	61,626	2445.1	− 2528	−82.9	× 84 / 633	−11
6	61,627	2442.7	− 2552	−109.3	× 119 / 633	−20.5
7	61,628	2423.5	− 2567	−143.5	× 117 / 633	−26.5
8	61,629	2444.0	− 2586	−142	× 110 / 633	−24.7
Sum, rounded to a whole point						−103

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,574	2393.2	− 2436	−42.8	× 99 / 702	−6
4	61,575	2412.1	− 2485	−72.9	× 95 / 702	−9.9
5	61,576	2445.5	− 2528	−82.5	× 98 / 702	−11.5
6	61,577	2446.5	− 2552	−105.5	× 126 / 702	−18.9
7	61,578	2467.8	− 2567	−99.2	× 117 / 702	−16.5
8	61,579	2419.5	− 2586	−166.5	× 117 / 702	−27.8
11	61,580	2448.9	− 2628	−179.1	× 50 / 702	−12.8
Sum, rounded to a whole point						−103

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,321	2390.5	− 2436	−45.5	× 99 / 687	−6.6
4	61,322	2431.4	− 2485	−53.6	× 99 / 687	−7.7
5	61,323	2448.0	− 2528	−80	× 99 / 687	−11.5
6	61,324	2485.6	− 2552	−66.4	× 122 / 687	−11.8
7	61,325	2474.9	− 2567	−92.1	× 121 / 687	−16.2
8	61,326	2501.6	− 2586	−84.4	× 116 / 687	−14.3
11	61,327	2497.5	− 2628	−130.5	× 31 / 687	−5.9
Sum, rounded to a whole point						−74

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −92, −77, −85, −54, −50, −94, −103, −103, −74 → −81.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 8 · 2017→2018: 31 · 2018→2019: 4 · 2019→2022: 44 · 2022→2023: 9 · 2023→2024: 0 · 2024→2025: 29 → average 17.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17.5 × 2.66 = 46.6. Upper limit −34.7, lower limit −127.9.

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.