Springville 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	101,057	2414.6	− 2436	−21.4	× 26 / 175	−3.2
4	101,060	2473.1	− 2485	−11.9	× 46 / 175	−3.1
5	101,061	2490.9	− 2528	−37.1	× 22 / 175	−4.7
6	101,064	2483.6	− 2552	−68.4	× 33 / 175	−12.9
7	101,065	2526.0	− 2567	−41	× 30 / 175	−7
8	101,068	2546.9	− 2586	−39.1	× 18 / 175	−4
Sum, rounded to a whole point						−35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,764	2409.8	− 2436	−26.2	× 38 / 196	−5.1
4	93,767	2459.0	− 2485	−26	× 26 / 196	−3.4
5	93,768	2492.2	− 2528	−35.8	× 44 / 196	−8
6	93,771	2484.5	− 2552	−67.5	× 25 / 196	−8.6
7	93,772	2529.8	− 2567	−37.2	× 32 / 196	−6.1
8	93,774	2564.3	− 2586	−21.7	× 31 / 196	−3.4
Sum, rounded to a whole point						−35

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,531	2411.8	− 2436	−24.2	× 30 / 214	−3.4
4	96,533	2464.0	− 2485	−21	× 45 / 214	−4.4
5	96,535	2488.3	− 2528	−39.7	× 28 / 214	−5.2
6	96,537	2507.7	− 2552	−44.3	× 47 / 214	−9.7
7	96,538	2494.2	− 2567	−72.8	× 29 / 214	−9.9
8	96,540	2514.4	− 2586	−71.6	× 35 / 214	−11.7
Sum, rounded to a whole point						−44

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,715	2428.4	− 2436	−7.6	× 27 / 204	−1
4	96,718	2454.2	− 2485	−30.8	× 30 / 204	−4.5
5	96,719	2486.2	− 2528	−41.8	× 46 / 204	−9.4
6	96,722	2537.9	− 2552	−14.1	× 28 / 204	−1.9
7	96,723	2542.0	− 2567	−25	× 42 / 204	−5.1
8	96,726	2553.8	− 2586	−32.2	× 31 / 204	−4.9
Sum, rounded to a whole point						−27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,392	2455.6	− 2436	19.6	× 43 / 202	4.2
4	97,393	2464.1	− 2485	−20.9	× 27 / 202	−2.8
5	97,394	2493.5	− 2528	−34.5	× 28 / 202	−4.8
6	97,395	2516.2	− 2552	−35.8	× 42 / 202	−7.4
7	97,396	2554.6	− 2567	−12.4	× 26 / 202	−1.6
8	97,397	2554.7	− 2586	−31.3	× 36 / 202	−5.6
Sum, rounded to a whole point						−18

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,265	2417.4	− 2436	−18.6	× 27 / 177	−2.8
4	95,266	2439.2	− 2485	−45.8	× 36 / 177	−9.3
5	95,267	2477.7	− 2528	−50.3	× 33 / 177	−9.4
6	95,268	2486.1	− 2552	−65.9	× 23 / 177	−8.6
7	95,269	2539.8	− 2567	−27.2	× 26 / 177	−4
8	95,270	2550.5	− 2586	−35.5	× 32 / 177	−6.4
Sum, rounded to a whole point						−41

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,568	2416.7	− 2436	−19.3	× 33 / 212	−3
4	97,569	2450.8	− 2485	−34.2	× 37 / 212	−6
5	97,570	2508.4	− 2528	−19.6	× 43 / 212	−4
6	97,571	2536.1	− 2552	−15.9	× 37 / 212	−2.8
7	97,572	2519.3	− 2567	−47.7	× 28 / 212	−6.3
8	97,573	2550.4	− 2586	−35.6	× 34 / 212	−5.7
Sum, rounded to a whole point						−28

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,415	2405.1	− 2436	−30.9	× 29 / 212	−4.2
4	97,416	2435.6	− 2485	−49.4	× 36 / 212	−8.4
5	97,417	2483.3	− 2528	−44.7	× 37 / 212	−7.8
6	97,418	2529.4	− 2552	−22.6	× 43 / 212	−4.6
7	97,419	2562.9	− 2567	−4.1	× 39 / 212	−0.8
8	97,420	2531.9	− 2586	−54.1	× 28 / 212	−7.1
Sum, rounded to a whole point						−33

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,308	2436.9	− 2436	0.9	× 38 / 220	0.2
4	97,309	2425.2	− 2485	−59.8	× 30 / 220	−8.2
5	97,310	2462.1	− 2528	−65.9	× 40 / 220	−12
6	97,311	2507.9	− 2552	−44.1	× 37 / 220	−7.4
7	97,312	2528.1	− 2567	−38.9	× 40 / 220	−7.1
8	97,313	2575.7	− 2586	−10.3	× 35 / 220	−1.6
Sum, rounded to a whole point						−36

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,027	2422.7	− 2436	−13.3	× 43 / 225	−2.5
4	97,028	2450.7	− 2485	−34.3	× 37 / 225	−5.6
5	97,029	2464.6	− 2528	−63.4	× 29 / 225	−8.2
6	97,030	2504.6	− 2552	−47.4	× 39 / 225	−8.2
7	97,031	2524.9	− 2567	−42.1	× 36 / 225	−6.7
8	97,032	2538.2	− 2586	−47.8	× 41 / 225	−8.7
Sum, rounded to a whole point						−40

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −35, −35, −44, −27, −18, −41, −28, −33, −36, −40 → −33.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 9 · 2017→2018: 17 · 2018→2019: 9 · 2019→2021: 23 · 2021→2022: 13 · 2022→2023: 5 · 2023→2024: 3 · 2024→2025: 4 → average 9.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.2 × 2.66 = 24.5. Upper limit −9.2, lower limit −58.2.

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 Springville Union Elementary

Springville Elementary