Big Springs Union Elementary: 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	92,022	2427.9	− 2436	−8.1	× 20 / 87	−1.9
4	92,025	2481.8	− 2485	−3.2	× 12 / 87	−0.4
5	92,027	2454.6	− 2528	−73.4	× 11 / 87	−9.3
6	92,029	2520.9	− 2552	−31.1	× 15 / 87	−5.4
7	92,030	2511.9	− 2567	−55.1	× 13 / 87	−8.2
8	92,033	2620.4	− 2586	34.4	× 16 / 87	6.3
Sum, rounded to a whole point						−19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,442	2415.9	− 2436	−20.1	× 18 / 85	−4.3
4	85,445	2481.4	− 2485	−3.6	× 23 / 85	−1
5	85,447	2519.8	− 2528	−8.2	× 13 / 85	−1.3
7	85,450	2544.8	− 2567	−22.2	× 19 / 85	−5
8	85,453	2538.6	− 2586	−47.4	× 12 / 85	−6.7
Sum, rounded to a whole point						−18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,816	2428.0	− 2436	−8	× 27 / 116	−1.9
4	87,817	2465.4	− 2485	−19.6	× 17 / 116	−2.9
5	87,819	2481.7	− 2528	−46.3	× 25 / 116	−10
6	87,822	2507.9	− 2552	−44.1	× 20 / 116	−7.6
7	87,824	2478.7	− 2567	−88.3	× 11 / 116	−8.4
8	87,825	2508.5	− 2586	−77.5	× 16 / 116	−10.7
Sum, rounded to a whole point						−41

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,043	2388.3	− 2436	−47.7	× 22 / 122	−8.6
4	88,044	2484.8	− 2485	−0.2	× 28 / 122	0
5	88,047	2495.4	− 2528	−32.6	× 19 / 122	−5.1
6	88,048	2510.0	− 2552	−42	× 21 / 122	−7.2
7	88,051	2542.9	− 2567	−24.1	× 20 / 122	−4
8	88,052	2516.8	− 2586	−69.2	× 12 / 122	−6.8
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,688	2457.7	− 2436	21.7	× 13 / 122	2.3
4	88,689	2429.2	− 2485	−55.8	× 21 / 122	−9.6
5	88,690	2513.4	− 2528	−14.6	× 28 / 122	−3.4
6	88,691	2550.6	− 2552	−1.4	× 17 / 122	−0.2
7	88,692	2507.8	− 2567	−59.2	× 23 / 122	−11.2
8	88,693	2540.3	− 2586	−45.7	× 20 / 122	−7.5
Sum, rounded to a whole point						−29

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,878	2368.9	− 2436	−67.1	× 21 / 124	−11.4
4	86,879	2440.0	− 2485	−45	× 20 / 124	−7.3
5	86,880	2490.0	− 2528	−38	× 16 / 124	−4.9
6	86,881	2475.0	− 2552	−77	× 22 / 124	−13.7
7	86,882	2517.2	− 2567	−49.8	× 26 / 124	−10.4
8	86,883	2492.8	− 2586	−93.2	× 19 / 124	−14.3
Sum, rounded to a whole point						−62

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,967	2367.0	− 2436	−69	× 23 / 116	−13.7
4	88,968	2408.8	− 2485	−76.2	× 22 / 116	−14.5
5	88,969	2480.4	− 2528	−47.6	× 17 / 116	−7
6	88,970	2540.1	− 2552	−11.9	× 12 / 116	−1.2
7	88,971	2466.3	− 2567	−100.7	× 19 / 116	−16.5
8	88,972	2538.6	− 2586	−47.4	× 23 / 116	−9.4
Sum, rounded to a whole point						−62

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,850	2382.4	− 2436	−53.6	× 17 / 110	−8.3
4	88,851	2405.4	− 2485	−79.6	× 23 / 110	−16.6
5	88,852	2485.8	− 2528	−42.2	× 22 / 110	−8.4
6	88,853	2503.3	− 2552	−48.7	× 18 / 110	−8
7	88,854	2520.4	− 2567	−46.6	× 12 / 110	−5.1
8	88,855	2472.4	− 2586	−113.6	× 18 / 110	−18.6
Sum, rounded to a whole point						−65

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,835	2356.6	− 2436	−79.4	× 11 / 99	−8.8
4	88,836	2388.6	− 2485	−96.4	× 18 / 99	−17.5
5	88,837	2423.0	− 2528	−105	× 22 / 99	−23.3
6	88,838	2442.1	− 2552	−109.9	× 18 / 99	−20
7	88,839	2503.8	− 2567	−63.2	× 17 / 99	−10.9
8	88,840	2511.5	− 2586	−74.5	× 13 / 99	−9.8
Sum, rounded to a whole point						−90

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,527	2390.0	− 2436	−46	× 12 / 80	−6.9
5	88,529	2403.5	− 2528	−124.5	× 16 / 80	−24.9
6	88,530	2400.4	− 2552	−151.6	× 19 / 80	−36
7	88,531	2426.9	− 2567	−140.1	× 17 / 80	−29.8
8	88,532	2453.7	− 2586	−132.3	× 16 / 80	−26.5
Sum, rounded to a whole point						−124

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −19, −18, −41, −32, −29, −62, −62, −65, −90, −124 → −54.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 23 · 2017→2018: 9 · 2018→2019: 3 · 2019→2021: 33 · 2021→2022: 0 · 2022→2023: 3 · 2023→2024: 25 · 2024→2025: 34 → average 14.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.6 × 2.66 = 38.8. Upper limit −15.4, lower limit −93.

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 Big Springs Union Elementary

Big Springs Elementary