Alview-Dairyland 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	41,085	2421.1	− 2436	−14.9	× 44 / 229	−2.9
4	41,088	2464.2	− 2485	−20.8	× 40 / 229	−3.6
5	41,089	2491.7	− 2528	−36.3	× 31 / 229	−4.9
6	41,092	2533.1	− 2552	−18.9	× 34 / 229	−2.8
7	41,093	2542.2	− 2567	−24.8	× 43 / 229	−4.7
8	41,096	2549.3	− 2586	−36.7	× 37 / 229	−5.9
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	37,989	2435.7	− 2436	−0.3	× 49 / 253	−0.1
4	37,991	2462.7	− 2485	−22.3	× 45 / 253	−4
5	37,993	2489.3	− 2528	−38.7	× 45 / 253	−6.9
6	37,995	2504.7	− 2552	−47.3	× 36 / 253	−6.7
7	37,996	2550.5	− 2567	−16.5	× 34 / 253	−2.2
8	37,998	2582.6	− 2586	−3.4	× 44 / 253	−0.6
Sum, rounded to a whole point						−20

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,891	2442.6	− 2436	6.6	× 36 / 234	1
4	38,892	2474.8	− 2485	−10.2	× 49 / 234	−2.1
5	38,895	2502.0	− 2528	−26	× 43 / 234	−4.8
6	38,896	2536.5	− 2552	−15.5	× 42 / 234	−2.8
7	38,898	2544.7	− 2567	−22.3	× 30 / 234	−2.9
8	38,900	2596.9	− 2586	10.9	× 34 / 234	1.6
Sum, rounded to a whole point						−10

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,911	2430.1	− 2436	−5.9	× 41 / 242	−1
4	38,914	2477.1	− 2485	−7.9	× 33 / 242	−1.1
5	38,916	2516.2	− 2528	−11.8	× 50 / 242	−2.4
6	38,917	2541.2	− 2552	−10.8	× 45 / 242	−2
7	38,920	2550.3	− 2567	−16.7	× 43 / 242	−3
8	38,921	2594.5	− 2586	8.5	× 30 / 242	1.1
Sum, rounded to a whole point						−8

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,070	2484.9	− 2436	48.9	× 42 / 256	8
4	39,071	2472.4	− 2485	−12.6	× 44 / 256	−2.2
5	39,072	2504.1	− 2528	−23.9	× 34 / 256	−3.2
6	39,073	2561.5	− 2552	9.5	× 47 / 256	1.7
7	39,074	2562.6	− 2567	−4.4	× 41 / 256	−0.7
8	39,075	2594.6	− 2586	8.6	× 48 / 256	1.6
Sum, rounded to a whole point						5

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,059	2416.1	− 2436	−19.9	× 46 / 251	−3.6
4	38,060	2470.3	− 2485	−14.7	× 46 / 251	−2.7
5	38,061	2528.6	− 2528	0.6	× 40 / 251	0.1
6	38,062	2529.0	− 2552	−23	× 44 / 251	−4
7	38,063	2541.0	− 2567	−26	× 31 / 251	−3.2
8	38,064	2580.8	− 2586	−5.2	× 44 / 251	−0.9
Sum, rounded to a whole point						−14

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,821	2457.2	− 2436	21.2	× 33 / 257	2.7
4	38,822	2463.1	− 2485	−21.9	× 52 / 257	−4.4
5	38,823	2492.7	− 2528	−35.3	× 51 / 257	−7
6	38,824	2577.1	− 2552	25.1	× 44 / 257	4.3
7	38,825	2529.3	− 2567	−37.7	× 43 / 257	−6.3
8	38,826	2552.4	− 2586	−33.6	× 34 / 257	−4.4
Sum, rounded to a whole point						−15

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,876	2443.2	− 2436	7.2	× 28 / 254	0.8
4	38,877	2464.3	− 2485	−20.7	× 34 / 254	−2.8
5	38,878	2468.6	− 2528	−59.4	× 56 / 254	−13.1
6	38,879	2544.5	− 2552	−7.5	× 50 / 254	−1.5
7	38,880	2583.3	− 2567	16.3	× 44 / 254	2.8
8	38,881	2556.1	− 2586	−29.9	× 42 / 254	−4.9
Sum, rounded to a whole point						−19

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,708	2453.5	− 2436	17.5	× 36 / 249	2.5
4	38,709	2471.8	− 2485	−13.2	× 26 / 249	−1.4
5	38,710	2511.9	− 2528	−16.1	× 36 / 249	−2.3
6	38,711	2522.3	− 2552	−29.7	× 55 / 249	−6.6
7	38,712	2535.8	− 2567	−31.2	× 50 / 249	−6.3
8	38,713	2588.2	− 2586	2.2	× 46 / 249	0.4
Sum, rounded to a whole point						−14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,481	2443.3	− 2436	7.3	× 41 / 252	1.2
4	38,482	2498.3	− 2485	13.3	× 36 / 252	1.9
5	38,483	2483.3	− 2528	−44.7	× 30 / 252	−5.3
6	38,484	2551.0	− 2552	−1	× 39 / 252	−0.2
7	38,485	2526.6	− 2567	−40.4	× 55 / 252	−8.8
8	38,486	2545.8	− 2586	−40.2	× 51 / 252	−8.1
Sum, rounded to a whole point						−19

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −25, −20, −10, −8, 5, −14, −15, −19, −14, −19 → −13.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 10 · 2017→2018: 2 · 2018→2019: 13 · 2019→2021: 19 · 2021→2022: 1 · 2022→2023: 4 · 2023→2024: 5 · 2024→2025: 5 → average 7.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.1 × 2.66 = 18.9. Upper limit 5, lower limit −32.8.

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.