Butteville Elementary: english

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	92,084	2390.2	− 2432	−41.8	× 17 / 130	−5.5
4	92,087	2425.0	− 2473	−48	× 28 / 130	−10.3
5	92,088	2490.3	− 2502	−11.7	× 27 / 130	−2.4
6	92,090	2501.2	− 2531	−29.8	× 20 / 130	−4.6
7	92,092	2536.6	− 2552	−15.4	× 17 / 130	−2
8	92,094	2566.3	− 2567	−0.7	× 21 / 130	−0.1
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	85,505	2398.5	− 2432	−33.5	× 32 / 144	−7.4
4	85,507	2494.0	− 2473	21	× 14 / 144	2
5	85,509	2509.6	− 2502	7.6	× 31 / 144	1.6
6	85,511	2520.8	− 2531	−10.2	× 27 / 144	−1.9
7	85,512	2538.8	− 2552	−13.2	× 22 / 144	−2
8	85,514	2561.7	− 2567	−5.3	× 18 / 144	−0.7
Sum, rounded to a whole point						−8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,878	2418.9	− 2432	−13.1	× 21 / 141	−2
4	87,880	2457.1	− 2473	−15.9	× 30 / 141	−3.4
5	87,881	2538.7	− 2502	36.7	× 14 / 141	3.6
6	87,883	2524.7	− 2531	−6.3	× 31 / 141	−1.4
7	87,886	2559.8	− 2552	7.8	× 27 / 141	1.5
8	87,888	2561.4	− 2567	−5.6	× 18 / 141	−0.7
Sum, rounded to a whole point						−2

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,109	2425.5	− 2432	−6.5	× 21 / 139	−1
4	88,110	2478.8	− 2473	5.8	× 23 / 139	1
5	88,113	2501.7	− 2502	−0.3	× 30 / 139	−0.1
6	88,114	2572.5	− 2531	41.5	× 12 / 139	3.6
7	88,117	2567.8	− 2552	15.8	× 29 / 139	3.3
8	88,118	2580.3	− 2567	13.3	× 24 / 139	2.3
Sum, rounded to a whole point						9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,751	2394.5	− 2432	−37.5	× 19 / 131	−5.4
4	88,752	2484.8	− 2473	11.8	× 21 / 131	1.9
5	88,753	2538.7	− 2502	36.7	× 22 / 131	6.2
6	88,754	2542.0	− 2531	11	× 29 / 131	2.4
7	88,755	2599.1	− 2552	47.1	× 12 / 131	4.3
8	88,756	2562.9	− 2567	−4.1	× 28 / 131	−0.9
Sum, rounded to a whole point						8

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,937	2396.1	− 2432	−35.9	× 15 / 113	−4.8
4	86,938	2464.9	− 2473	−8.1	× 19 / 113	−1.4
5	86,939	2451.7	− 2502	−50.3	× 13 / 113	−5.8
6	86,940	2488.7	− 2531	−42.3	× 21 / 113	−7.9
7	86,941	2548.0	− 2552	−4	× 18 / 113	−0.6
8	86,942	2580.4	− 2567	13.4	× 27 / 113	3.2
Sum, rounded to a whole point						−17

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,026	2424.1	− 2432	−7.9	× 20 / 119	−1.3
4	89,027	2457.6	− 2473	−15.4	× 15 / 119	−1.9
5	89,028	2506.8	− 2502	4.8	× 21 / 119	0.8
6	89,029	2478.9	− 2531	−52.1	× 20 / 119	−8.8
7	89,030	2552.8	− 2552	0.8	× 23 / 119	0.2
8	89,031	2570.9	− 2567	3.9	× 20 / 119	0.7
Sum, rounded to a whole point						−10

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,905	2440.8	− 2432	8.8	× 12 / 102	1
4	88,906	2489.4	− 2473	16.4	× 15 / 102	2.4
5	88,907	2472.2	− 2502	−29.8	× 14 / 102	−4.1
6	88,908	2544.5	− 2531	13.5	× 23 / 102	3
7	88,909	2533.5	− 2552	−18.5	× 17 / 102	−3.1
8	88,910	2534.9	− 2567	−32.1	× 21 / 102	−6.6
Sum, rounded to a whole point						−7

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,902	2431.9	− 2432	−0.1	× 14 / 78	0
4	88,903	2486.2	− 2473	13.2	× 13 / 78	2.2
5	88,904	2504.1	− 2502	2.1	× 19 / 78	0.5
7	88,906	2582.8	− 2552	30.8	× 18 / 78	7.1
8	88,907	2572.9	− 2567	5.9	× 14 / 78	1.1
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
3	88,586	2424.6	− 2432	−7.4	× 22 / 92	−1.8
4	88,587	2463.6	− 2473	−9.4	× 19 / 92	−1.9
5	88,588	2506.1	− 2502	4.1	× 15 / 92	0.7
6	88,589	2518.7	− 2531	−12.3	× 19 / 92	−2.5
8	88,591	2614.9	− 2567	47.9	× 17 / 92	8.9
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, −8, −2, 9, 8, −17, −10, −7, 11, 3 → −3.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 17 · 2016→2017: 6 · 2017→2018: 11 · 2018→2019: 1 · 2019→2021: 25 · 2021→2022: 7 · 2022→2023: 3 · 2023→2024: 18 · 2024→2025: 8 → average 10.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.7 × 2.66 = 28.5. Upper limit 24.7, lower limit −32.3.

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.