Albany City 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	448	2453.7	− 2436	17.7	× 264 / 1936	2.4
4	450	2517.4	− 2485	32.4	× 286 / 1936	4.8
5	452	2571.7	− 2528	43.7	× 298 / 1936	6.7
6	454	2583.1	− 2552	31.1	× 290 / 1936	4.7
7	456	2616.5	− 2567	49.5	× 265 / 1936	6.8
8	458	2617.0	− 2586	31	× 296 / 1936	4.7
11	460	2666.1	− 2628	38.1	× 237 / 1936	4.7
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	367	2479.3	− 2436	43.3	× 280 / 1935	6.3
4	369	2523.6	− 2485	38.6	× 255 / 1935	5.1
5	370	2564.6	− 2528	36.6	× 270 / 1935	5.1
6	373	2593.6	− 2552	41.6	× 313 / 1935	6.7
7	374	2622.5	− 2567	55.5	× 290 / 1935	8.3
8	377	2640.4	− 2586	54.4	× 252 / 1935	7.1
11	379	2696.7	− 2628	68.7	× 275 / 1935	9.8
Sum, rounded to a whole point						48

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	380	2486.1	− 2436	50.1	× 268 / 1946	6.9
4	383	2537.9	− 2485	52.9	× 283 / 1946	7.7
5	384	2553.8	− 2528	25.8	× 255 / 1946	3.4
6	387	2582.1	− 2552	30.1	× 289 / 1946	4.5
7	388	2626.0	− 2567	59	× 314 / 1946	9.5
8	390	2642.8	− 2586	56.8	× 284 / 1946	8.3
11	392	2689.8	− 2628	61.8	× 253 / 1946	8
Sum, rounded to a whole point						48

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	402	2485.9	− 2436	49.9	× 255 / 1943	6.5
4	405	2536.0	− 2485	51	× 266 / 1943	7
5	406	2568.2	− 2528	40.2	× 283 / 1943	5.9
6	409	2569.5	− 2552	17.5	× 260 / 1943	2.3
7	410	2604.2	− 2567	37.2	× 284 / 1943	5.4
8	413	2636.7	− 2586	50.7	× 315 / 1943	8.2
11	414	2666.5	− 2628	38.5	× 280 / 1943	5.5
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	436	2489.7	− 2436	53.7	× 249 / 1794	7.5
4	437	2529.0	− 2485	44	× 249 / 1794	6.1
5	438	2573.8	− 2528	45.8	× 270 / 1794	6.9
6	439	2594.0	− 2552	42	× 280 / 1794	6.6
7	440	2605.0	− 2567	38	× 260 / 1794	5.5
8	441	2630.9	− 2586	44.9	× 273 / 1794	6.8
11	442	2682.7	− 2628	54.7	× 213 / 1794	6.5
Sum, rounded to a whole point						46

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	416	2732.4	− 2628	104.4	× 218 / 218	104.4
Sum, rounded to a whole point						104

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	432	2473.5	− 2436	37.5	× 267 / 1745	5.7
4	433	2517.8	− 2485	32.8	× 242 / 1745	4.5
5	434	2550.3	− 2528	22.3	× 247 / 1745	3.2
6	435	2580.2	− 2552	28.2	× 240 / 1745	3.9
7	436	2609.2	− 2567	42.2	× 253 / 1745	6.1
8	437	2612.3	− 2586	26.3	× 270 / 1745	4.1
11	438	2683.9	− 2628	55.9	× 226 / 1745	7.2
Sum, rounded to a whole point						35

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	430	2469.4	− 2436	33.4	× 224 / 1771	4.2
4	431	2523.6	− 2485	38.6	× 278 / 1771	6.1
5	432	2560.5	− 2528	32.5	× 258 / 1771	4.7
6	433	2568.6	− 2552	16.6	× 265 / 1771	2.5
7	434	2601.2	− 2567	34.2	× 256 / 1771	4.9
8	435	2619.7	− 2586	33.7	× 250 / 1771	4.8
11	436	2682.4	− 2628	54.4	× 240 / 1771	7.4
Sum, rounded to a whole point						35

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	432	2470.7	− 2436	34.7	× 269 / 1871	5
4	433	2517.9	− 2485	32.9	× 232 / 1871	4.1
5	434	2559.8	− 2528	31.8	× 298 / 1871	5.1
6	435	2577.7	− 2552	25.7	× 291 / 1871	4
7	436	2595.0	− 2567	28	× 266 / 1871	4
8	437	2636.7	− 2586	50.7	× 248 / 1871	6.7
11	438	2692.6	− 2628	64.6	× 267 / 1871	9.2
Sum, rounded to a whole point						38

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	424	2483.6	− 2436	47.6	× 236 / 1934	5.8
4	425	2517.8	− 2485	32.8	× 287 / 1934	4.9
5	426	2552.3	− 2528	24.3	× 247 / 1934	3.1
6	427	2597.3	− 2552	45.3	× 323 / 1934	7.6
7	428	2609.5	− 2567	42.5	× 293 / 1934	6.4
8	429	2638.2	− 2586	52.2	× 269 / 1934	7.3
11	430	2704.7	− 2628	76.7	× 279 / 1934	11.1
Sum, rounded to a whole point						46

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	426	2490.9	− 2436	54.9	× 276 / 1995	7.6
4	427	2530.8	− 2485	45.8	× 264 / 1995	6.1
5	428	2564.1	− 2528	36.1	× 287 / 1995	5.2
6	429	2585.2	− 2552	33.2	× 275 / 1995	4.6
7	430	2607.3	− 2567	40.3	× 334 / 1995	6.7
8	431	2655.8	− 2586	69.8	× 306 / 1995	10.7
11	432	2698.7	− 2628	70.7	× 253 / 1995	9
Sum, rounded to a whole point						50

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 35, 48, 48, 41, 46, 104, 35, 35, 38, 46, 50 → 47.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 0 · 2017→2018: 7 · 2018→2019: 5 · 2019→2021: 58 · 2021→2022: 69 · 2022→2023: 0 · 2023→2024: 3 · 2024→2025: 8 · 2025→2026: 4 → average 16.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.7 × 2.66 = 44.4. Upper limit 92.2, lower limit 3.4.

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.

Albany City Unified