Maxwell 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	5,607	2433.5	− 2436	−2.5	× 24 / 161	−0.4
4	5,610	2464.3	− 2485	−20.7	× 22 / 161	−2.8
5	5,612	2478.1	− 2528	−49.9	× 24 / 161	−7.4
6	5,614	2522.1	− 2552	−29.9	× 17 / 161	−3.2
7	5,615	2479.4	− 2567	−87.6	× 24 / 161	−13.1
8	5,618	2475.9	− 2586	−110.1	× 22 / 161	−15
11	5,619	2510.7	− 2628	−117.3	× 28 / 161	−20.4
Sum, rounded to a whole point						−62

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,076	2442.4	− 2436	6.4	× 23 / 163	0.9
4	5,079	2472.2	− 2485	−12.8	× 27 / 163	−2.1
5	5,080	2498.6	− 2528	−29.4	× 21 / 163	−3.8
6	5,083	2456.0	− 2552	−96	× 25 / 163	−14.7
7	5,085	2530.2	− 2567	−36.8	× 18 / 163	−4.1
8	5,087	2457.3	− 2586	−128.7	× 23 / 163	−18.2
11	5,088	2500.9	− 2628	−127.1	× 26 / 163	−20.3
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,182	2437.6	− 2436	1.6	× 40 / 184	0.3
4	5,184	2508.8	− 2485	23.8	× 26 / 184	3.4
5	5,187	2519.9	− 2528	−8.1	× 27 / 184	−1.2
6	5,188	2524.1	− 2552	−27.9	× 20 / 184	−3
7	5,190	2491.4	− 2567	−75.6	× 26 / 184	−10.7
8	5,193	2541.5	− 2586	−44.5	× 22 / 184	−5.3
11	5,195	2514.9	− 2628	−113.1	× 23 / 184	−14.1
Sum, rounded to a whole point						−31

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,187	2460.6	− 2436	24.6	× 18 / 173	2.6
4	5,188	2494.5	− 2485	9.5	× 37 / 173	2
5	5,191	2500.6	− 2528	−27.4	× 24 / 173	−3.8
6	5,192	2486.0	− 2552	−66	× 22 / 173	−8.4
7	5,195	2527.6	− 2567	−39.4	× 21 / 173	−4.8
8	5,196	2492.4	− 2586	−93.6	× 27 / 173	−14.6
11	5,199	2527.8	− 2628	−100.2	× 24 / 173	−13.9
Sum, rounded to a whole point						−41

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,230	2443.7	− 2436	7.7	× 32 / 181	1.4
4	5,231	2496.3	− 2485	11.3	× 20 / 181	1.2
5	5,232	2485.5	− 2528	−42.5	× 37 / 181	−8.7
6	5,233	2499.8	− 2552	−52.2	× 22 / 181	−6.3
7	5,234	2520.3	− 2567	−46.7	× 24 / 181	−6.2
8	5,235	2553.8	− 2586	−32.2	× 21 / 181	−3.7
11	5,236	2539.2	− 2628	−88.8	× 25 / 181	−12.3
Sum, rounded to a whole point						−35

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,069	2405.4	− 2436	−30.6	× 24 / 200	−3.7
4	5,070	2486.3	− 2485	1.3	× 34 / 200	0.2
5	5,071	2460.3	− 2528	−67.7	× 28 / 200	−9.5
6	5,072	2500.0	− 2552	−52	× 31 / 200	−8.1
7	5,073	2532.8	− 2567	−34.2	× 24 / 200	−4.1
8	5,074	2543.4	− 2586	−42.6	× 35 / 200	−7.5
11	5,075	2520.7	− 2628	−107.3	× 24 / 200	−12.9
Sum, rounded to a whole point						−45

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,071	2411.8	− 2436	−24.2	× 20 / 182	−2.7
4	5,072	2489.7	− 2485	4.7	× 26 / 182	0.7
5	5,073	2496.9	− 2528	−31.1	× 36 / 182	−6.2
6	5,074	2457.9	− 2552	−94.1	× 27 / 182	−14
7	5,075	2507.1	− 2567	−59.9	× 28 / 182	−9.2
8	5,076	2519.9	− 2586	−66.1	× 25 / 182	−9.1
11	5,077	2495.4	− 2628	−132.6	× 20 / 182	−14.6
Sum, rounded to a whole point						−55

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,006	2430.0	− 2436	−6	× 16 / 172	−0.6
4	5,007	2495.6	− 2485	10.6	× 19 / 172	1.2
5	5,008	2465.4	− 2528	−62.6	× 20 / 172	−7.3
6	5,009	2489.2	− 2552	−62.8	× 36 / 172	−13.1
7	5,010	2476.5	− 2567	−90.5	× 28 / 172	−14.7
8	5,011	2494.0	− 2586	−92	× 27 / 172	−14.4
11	5,012	2554.8	− 2628	−73.2	× 26 / 172	−11.1
Sum, rounded to a whole point						−60

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,970	2403.6	− 2436	−32.4	× 21 / 183	−3.7
4	4,971	2471.0	− 2485	−14	× 18 / 183	−1.4
5	4,972	2481.0	− 2528	−47	× 17 / 183	−4.4
6	4,973	2474.8	− 2552	−77.2	× 26 / 183	−11
7	4,974	2503.1	− 2567	−63.9	× 37 / 183	−12.9
8	4,975	2491.2	− 2586	−94.8	× 29 / 183	−15
11	4,976	2546.9	− 2628	−81.1	× 35 / 183	−15.5
Sum, rounded to a whole point						−64

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −62, −62, −31, −41, −35, −45, −55, −60, −64 → −50.6
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: 31 · 2017→2018: 10 · 2018→2019: 6 · 2019→2022: 10 · 2022→2023: 10 · 2023→2024: 5 · 2024→2025: 4 → average 9.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.5 × 2.66 = 25.3. Upper limit −25.3, lower limit −75.9.

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.