Amador: math · Schoolio

The shaded band is this county'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	3,997	2397.8	− 2436	−38.2	× 304 / 1969	−5.9
4	3,998	2437.6	− 2485	−47.4	× 313 / 1969	−7.5
5	4,001	2459.8	− 2528	−68.2	× 297 / 1969	−10.3
6	4,002	2503.4	− 2552	−48.6	× 304 / 1969	−7.5
7	4,005	2495.1	− 2567	−71.9	× 283 / 1969	−10.3
8	4,006	2499.6	− 2586	−86.4	× 255 / 1969	−11.2
11	4,009	2547.6	− 2628	−80.4	× 213 / 1969	−8.7
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,528	2412.1	− 2436	−23.9	× 280 / 2127	−3.1
4	3,530	2440.8	− 2485	−44.2	× 320 / 2127	−6.6
5	3,533	2463.5	− 2528	−64.5	× 322 / 2127	−9.8
6	3,534	2497.2	− 2552	−54.8	× 300 / 2127	−7.7
7	3,537	2513.7	− 2567	−53.3	× 319 / 2127	−8
8	3,539	2489.9	− 2586	−96.1	× 303 / 2127	−13.7
11	3,540	2547.5	− 2628	−80.5	× 283 / 2127	−10.7
Sum, rounded to a whole point						−60

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,607	2421.0	− 2436	−15	× 304 / 2150	−2.1
4	3,608	2451.6	− 2485	−33.4	× 288 / 2150	−4.5
5	3,610	2467.4	− 2528	−60.6	× 311 / 2150	−8.8
6	3,613	2497.1	− 2552	−54.9	× 320 / 2150	−8.2
7	3,615	2498.9	− 2567	−68.1	× 292 / 2150	−9.2
8	3,616	2518.2	− 2586	−67.8	× 323 / 2150	−10.2
11	3,619	2563.7	− 2628	−64.3	× 312 / 2150	−9.3
Sum, rounded to a whole point						−52

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,606	2407.0	− 2436	−29	× 255 / 2034	−3.6
4	3,609	2459.7	− 2485	−25.3	× 310 / 2034	−3.9
5	3,610	2464.3	− 2528	−63.7	× 281 / 2034	−8.8
6	3,613	2488.8	− 2552	−63.2	× 307 / 2034	−9.5
7	3,614	2488.3	− 2567	−78.7	× 311 / 2034	−12
8	3,617	2482.0	− 2586	−104	× 294 / 2034	−15
11	3,618	2541.0	− 2628	−87	× 276 / 2034	−11.8
Sum, rounded to a whole point						−65

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,660	2422.4	− 2436	−13.6	× 306 / 2111	−2
4	3,661	2452.0	− 2485	−33	× 265 / 2111	−4.1
5	3,662	2483.5	− 2528	−44.5	× 317 / 2111	−6.7
6	3,663	2490.8	− 2552	−61.2	× 296 / 2111	−8.6
7	3,664	2480.7	− 2567	−86.3	× 306 / 2111	−12.5
8	3,665	2513.9	− 2586	−72.1	× 313 / 2111	−10.7
11	3,666	2542.2	− 2628	−85.8	× 308 / 2111	−12.5
Sum, rounded to a whole point						−57

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,546	2402.6	− 2436	−33.4	× 277 / 1838	−5
4	3,547	2458.0	− 2485	−27	× 255 / 1838	−3.7
5	3,548	2453.8	− 2528	−74.2	× 295 / 1838	−11.9
6	3,549	2467.2	− 2552	−84.8	× 225 / 1838	−10.4
7	3,550	2483.1	− 2567	−83.9	× 273 / 1838	−12.5
8	3,551	2480.3	− 2586	−105.7	× 259 / 1838	−14.9
11	3,552	2525.7	− 2628	−102.3	× 254 / 1838	−14.1
Sum, rounded to a whole point						−73

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,562	2408.3	− 2436	−27.7	× 250 / 1936	−3.6
4	3,563	2436.7	− 2485	−48.3	× 284 / 1936	−7.1
5	3,564	2476.6	− 2528	−51.4	× 276 / 1936	−7.3
6	3,565	2479.6	− 2552	−72.4	× 317 / 1936	−11.9
7	3,566	2485.5	− 2567	−81.5	× 254 / 1936	−10.7
8	3,567	2458.9	− 2586	−127.1	× 288 / 1936	−18.9
11	3,568	2537.1	− 2628	−90.9	× 267 / 1936	−12.5
Sum, rounded to a whole point						−72

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,550	2397.5	− 2436	−38.5	× 280 / 1975	−5.5
4	3,551	2439.2	− 2485	−45.8	× 265 / 1975	−6.1
5	3,552	2453.7	− 2528	−74.3	× 284 / 1975	−10.7
6	3,553	2481.0	− 2552	−71	× 271 / 1975	−9.7
7	3,554	2495.3	− 2567	−71.7	× 306 / 1975	−11.1
8	3,555	2490.1	− 2586	−95.9	× 262 / 1975	−12.7
11	3,556	2514.1	− 2628	−113.9	× 307 / 1975	−17.7
Sum, rounded to a whole point						−74

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,520	2393.8	− 2436	−42.2	× 328 / 2032	−6.8
4	3,521	2440.5	− 2485	−44.5	× 292 / 2032	−6.4
5	3,522	2458.1	− 2528	−69.9	× 258 / 2032	−8.9
6	3,523	2455.0	− 2552	−97	× 288 / 2032	−13.7
7	3,524	2491.5	− 2567	−75.5	× 264 / 2032	−9.8
8	3,525	2477.9	− 2586	−108.1	× 294 / 2032	−15.6
11	3,526	2524.8	− 2628	−103.2	× 308 / 2032	−15.6
Sum, rounded to a whole point						−77

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,484	2392.7	− 2436	−43.3	× 287 / 1984	−6.3
4	3,485	2451.0	− 2485	−34	× 327 / 1984	−5.6
5	3,486	2458.8	− 2528	−69.2	× 290 / 1984	−10.1
6	3,487	2479.6	− 2552	−72.4	× 253 / 1984	−9.2
7	3,488	2462.5	− 2567	−104.5	× 284 / 1984	−15
8	3,489	2508.2	− 2586	−77.8	× 256 / 1984	−10
11	3,490	2500.3	− 2628	−127.7	× 287 / 1984	−18.5
Sum, rounded to a whole point						−75

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,456	2380.8	− 2436	−55.2	× 278 / 1969	−7.8
4	3,457	2430.9	− 2485	−54.1	× 285 / 1969	−7.8
5	3,458	2452.1	− 2528	−75.9	× 327 / 1969	−12.6
6	3,459	2483.1	− 2552	−68.9	× 290 / 1969	−10.1
7	3,460	2469.4	− 2567	−97.6	× 251 / 1969	−12.4
8	3,461	2472.9	− 2586	−113.1	× 280 / 1969	−16.1
11	3,462	2515.6	− 2628	−112.4	× 258 / 1969	−14.7
Sum, rounded to a whole point						−82

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −60, −52, −65, −57, −73, −72, −74, −77, −75, −82 → −68
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: 8 · 2017→2018: 13 · 2018→2019: 8 · 2019→2021: 16 · 2021→2022: 1 · 2022→2023: 2 · 2023→2024: 3 · 2024→2025: 2 · 2025→2026: 7 → average 6.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.1 × 2.66 = 16.2. Upper limit −51.8, lower limit −84.2.

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 county, 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.