Butte Valley Unified: math

The shaded band is this district'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	92,602	2406.0	− 2436	−30	× 21 / 145	−4.3
4	92,603	2452.2	− 2485	−32.8	× 14 / 145	−3.2
5	92,606	2456.5	− 2528	−71.5	× 17 / 145	−8.4
6	92,607	2487.5	− 2552	−64.5	× 28 / 145	−12.5
7	92,610	2510.5	− 2567	−56.5	× 26 / 145	−10.1
8	92,611	2510.2	− 2586	−75.8	× 18 / 145	−9.4
11	92,614	2489.6	− 2628	−138.4	× 21 / 145	−20
Sum, rounded to a whole point						−68

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,049	2396.0	− 2436	−40	× 23 / 127	−7.2
4	86,051	2462.1	− 2485	−22.9	× 24 / 127	−4.3
6	86,054	2542.6	− 2552	−9.4	× 19 / 127	−1.4
7	86,057	2525.0	− 2567	−42	× 24 / 127	−7.9
8	86,059	2531.3	− 2586	−54.7	× 24 / 127	−10.3
11	86,061	2517.2	− 2628	−110.8	× 13 / 127	−11.3
Sum, rounded to a whole point						−43

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,410	2394.8	− 2436	−41.2	× 34 / 145	−9.7
4	88,411	2449.4	− 2485	−35.6	× 18 / 145	−4.4
5	88,413	2508.5	− 2528	−19.5	× 24 / 145	−3.2
7	88,417	2507.6	− 2567	−59.4	× 22 / 145	−9
8	88,420	2512.0	− 2586	−74	× 28 / 145	−14.3
11	88,421	2456.6	− 2628	−171.4	× 19 / 145	−22.5
Sum, rounded to a whole point						−63

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,638	2422.7	− 2436	−13.3	× 23 / 149	−2.1
4	88,641	2438.8	− 2485	−46.2	× 32 / 149	−9.9
5	88,642	2503.9	− 2528	−24.1	× 20 / 149	−3.2
6	88,645	2503.8	− 2552	−48.2	× 24 / 149	−7.8
7	88,646	2464.1	− 2567	−102.9	× 11 / 149	−7.6
8	88,649	2487.4	− 2586	−98.6	× 21 / 149	−13.9
11	88,650	2499.3	− 2628	−128.7	× 18 / 149	−15.5
Sum, rounded to a whole point						−60

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,269	2405.5	− 2436	−30.5	× 25 / 139	−5.5
4	89,270	2472.4	− 2485	−12.6	× 21 / 139	−1.9
5	89,271	2497.7	− 2528	−30.3	× 25 / 139	−5.4
6	89,272	2469.7	− 2552	−82.3	× 20 / 139	−11.8
7	89,273	2532.1	− 2567	−34.9	× 22 / 139	−5.5
8	89,274	2452.0	− 2586	−134	× 11 / 139	−10.6
11	89,275	2467.9	− 2628	−160.1	× 15 / 139	−17.3
Sum, rounded to a whole point						−58

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,453	2347.9	− 2436	−88.1	× 21 / 119	−15.5
4	87,454	2383.2	− 2485	−101.8	× 18 / 119	−15.4
5	87,455	2444.8	− 2528	−83.2	× 21 / 119	−14.7
6	87,456	2406.9	− 2552	−145.1	× 14 / 119	−17.1
7	87,457	2409.9	− 2567	−157.1	× 15 / 119	−19.8
8	87,458	2452.2	− 2586	−133.8	× 13 / 119	−14.6
11	87,459	2469.3	− 2628	−158.7	× 17 / 119	−22.7
Sum, rounded to a whole point						−120

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,521	2308.3	− 2436	−127.7	× 22 / 143	−19.6
4	89,522	2377.5	− 2485	−107.5	× 24 / 143	−18
5	89,523	2385.6	− 2528	−142.4	× 20 / 143	−19.9
6	89,524	2462.4	− 2552	−89.6	× 25 / 143	−15.7
7	89,525	2406.9	− 2567	−160.1	× 18 / 143	−20.2
8	89,526	2382.0	− 2586	−204	× 22 / 143	−31.4
11	89,527	2491.3	− 2628	−136.7	× 12 / 143	−11.5
Sum, rounded to a whole point						−136

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,409	2352.1	− 2436	−83.9	× 31 / 168	−15.5
4	89,410	2371.2	− 2485	−113.8	× 23 / 168	−15.6
5	89,411	2385.0	− 2528	−143	× 25 / 168	−21.3
6	89,412	2374.8	− 2552	−177.2	× 25 / 168	−26.4
7	89,413	2447.3	− 2567	−119.7	× 24 / 168	−17.1
8	89,414	2453.9	− 2586	−132.1	× 16 / 168	−12.6
11	89,415	2510.1	− 2628	−117.9	× 24 / 168	−16.8
Sum, rounded to a whole point						−125

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,380	2431.1	− 2436	−4.9	× 18 / 162	−0.5
4	89,381	2366.9	− 2485	−118.1	× 30 / 162	−21.9
5	89,382	2425.3	− 2528	−102.7	× 23 / 162	−14.6
6	89,383	2446.7	− 2552	−105.3	× 23 / 162	−15
7	89,384	2404.0	− 2567	−163	× 22 / 162	−22.1
8	89,385	2447.0	− 2586	−139	× 26 / 162	−22.3
11	89,386	2456.9	− 2628	−171.1	× 20 / 162	−21.1
Sum, rounded to a whole point						−118

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,086	2359.1	− 2436	−76.9	× 20 / 148	−10.4
4	89,087	2401.2	− 2485	−83.8	× 19 / 148	−10.8
5	89,088	2392.0	− 2528	−136	× 24 / 148	−22.1
6	89,089	2402.0	− 2552	−150	× 23 / 148	−23.3
7	89,090	2456.2	− 2567	−110.8	× 21 / 148	−15.7
8	89,091	2391.5	− 2586	−194.5	× 20 / 148	−26.3
11	89,092	2486.1	− 2628	−141.9	× 21 / 148	−20.1
Sum, rounded to a whole point						−129

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,777	2360.0	− 2436	−76	× 21 / 139	−11.5
4	88,778	2362.1	− 2485	−122.9	× 20 / 139	−17.7
5	88,779	2419.2	− 2528	−108.8	× 14 / 139	−11
6	88,780	2428.8	− 2552	−123.2	× 24 / 139	−21.3
7	88,781	2440.4	− 2567	−126.6	× 22 / 139	−20
8	88,782	2410.5	− 2586	−175.5	× 18 / 139	−22.7
11	88,783	2476.3	− 2628	−151.7	× 20 / 139	−21.8
Sum, rounded to a whole point						−126

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −68, −43, −63, −60, −58, −120, −136, −125, −118, −129, −126 → −95.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 25 · 2016→2017: 20 · 2017→2018: 3 · 2018→2019: 2 · 2019→2021: 62 · 2021→2022: 16 · 2022→2023: 11 · 2023→2024: 7 · 2024→2025: 11 · 2025→2026: 3 → average 16
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16 × 2.66 = 42.6. Upper limit −52.5, lower limit −137.7.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Butte Valley Unified