Calaveras: 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	5,251	2409.2	− 2436	−26.8	× 377 / 2867	−3.5
4	5,254	2445.0	− 2485	−40	× 385 / 2867	−5.4
5	5,255	2477.3	− 2528	−50.7	× 390 / 2867	−6.9
6	5,258	2496.3	− 2552	−55.7	× 390 / 2867	−7.6
7	5,259	2528.4	− 2567	−38.6	× 425 / 2867	−5.7
8	5,262	2542.9	− 2586	−43.1	× 440 / 2867	−6.6
11	5,263	2532.8	− 2628	−95.2	× 460 / 2867	−15.3
Sum, rounded to a whole point						−51

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,720	2405.9	− 2436	−30.1	× 370 / 2823	−3.9
4	4,722	2445.8	− 2485	−39.2	× 386 / 2823	−5.4
5	4,725	2476.8	− 2528	−51.2	× 387 / 2823	−7
6	4,727	2505.4	− 2552	−46.6	× 398 / 2823	−6.6
7	4,729	2522.4	− 2567	−44.6	× 403 / 2823	−6.4
8	4,731	2551.6	− 2586	−34.4	× 423 / 2823	−5.2
11	4,732	2559.2	− 2628	−68.8	× 456 / 2823	−11.1
Sum, rounded to a whole point						−46

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,825	2411.1	− 2436	−24.9	× 377 / 2803	−3.3
4	4,826	2440.3	− 2485	−44.7	× 379 / 2803	−6
5	4,829	2459.1	− 2528	−68.9	× 391 / 2803	−9.6
6	4,831	2505.4	− 2552	−46.6	× 416 / 2803	−6.9
7	4,833	2520.4	− 2567	−46.6	× 419 / 2803	−7
8	4,834	2536.4	− 2586	−49.6	× 413 / 2803	−7.3
11	4,837	2566.0	− 2628	−62	× 408 / 2803	−9
Sum, rounded to a whole point						−49

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,814	2397.9	− 2436	−38.1	× 393 / 2754	−5.4
4	4,817	2452.2	− 2485	−32.8	× 368 / 2754	−4.4
5	4,818	2460.6	− 2528	−67.4	× 350 / 2754	−8.6
6	4,821	2495.6	− 2552	−56.4	× 393 / 2754	−8
7	4,822	2523.6	− 2567	−43.4	× 415 / 2754	−6.5
8	4,825	2534.3	− 2586	−51.7	× 432 / 2754	−8.1
11	4,826	2565.2	− 2628	−62.8	× 403 / 2754	−9.2
Sum, rounded to a whole point						−50

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,848	2406.8	− 2436	−29.2	× 313 / 2623	−3.5
4	4,849	2442.1	− 2485	−42.9	× 390 / 2623	−6.4
5	4,850	2467.4	− 2528	−60.6	× 372 / 2623	−8.6
6	4,851	2485.4	− 2552	−66.6	× 363 / 2623	−9.2
7	4,852	2510.7	− 2567	−56.3	× 394 / 2623	−8.5
8	4,853	2529.3	− 2586	−56.7	× 390 / 2623	−8.4
11	4,854	2550.0	− 2628	−78	× 401 / 2623	−11.9
Sum, rounded to a whole point						−56

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,624	2395.4	− 2436	−40.6	× 238 / 1653	−5.8
4	4,625	2425.0	− 2485	−60	× 238 / 1653	−8.6
5	4,626	2441.6	− 2528	−86.4	× 219 / 1653	−11.4
6	4,627	2474.4	− 2552	−77.6	× 286 / 1653	−13.4
7	4,628	2493.3	− 2567	−73.7	× 250 / 1653	−11.1
8	4,629	2472.4	− 2586	−113.6	× 252 / 1653	−17.3
11	4,630	2529.4	− 2628	−98.6	× 170 / 1653	−10.1
Sum, rounded to a whole point						−78

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,699	2390.0	− 2436	−46	× 354 / 2506	−6.5
4	4,700	2427.0	− 2485	−58	× 352 / 2506	−8.1
5	4,701	2455.6	− 2528	−72.4	× 375 / 2506	−10.8
6	4,702	2477.9	− 2552	−74.1	× 326 / 2506	−9.6
7	4,703	2489.3	− 2567	−77.7	× 393 / 2506	−12.2
8	4,704	2471.2	− 2586	−114.8	× 357 / 2506	−16.4
11	4,705	2511.2	− 2628	−116.8	× 349 / 2506	−16.3
Sum, rounded to a whole point						−80

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,687	2395.5	− 2436	−40.5	× 363 / 2611	−5.6
4	4,688	2439.5	− 2485	−45.5	× 381 / 2611	−6.6
5	4,689	2433.5	− 2528	−94.5	× 377 / 2611	−13.6
6	4,690	2459.6	− 2552	−92.4	× 397 / 2611	−14
7	4,691	2468.0	− 2567	−99	× 330 / 2611	−12.5
8	4,692	2471.0	− 2586	−115	× 383 / 2611	−16.9
11	4,693	2518.6	− 2628	−109.4	× 380 / 2611	−15.9
Sum, rounded to a whole point						−85

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,644	2385.6	− 2436	−50.4	× 380 / 2606	−7.3
4	4,645	2430.0	− 2485	−55	× 376 / 2606	−7.9
5	4,646	2444.8	− 2528	−83.2	× 400 / 2606	−12.8
6	4,647	2458.4	− 2552	−93.6	× 372 / 2606	−13.4
7	4,648	2478.1	− 2567	−88.9	× 382 / 2606	−13
8	4,649	2490.4	− 2586	−95.6	× 316 / 2606	−11.6
11	4,650	2490.1	− 2628	−137.9	× 380 / 2606	−20.1
Sum, rounded to a whole point						−86

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,608	2396.5	− 2436	−39.5	× 339 / 2575	−5.2
4	4,609	2433.3	− 2485	−51.7	× 385 / 2575	−7.7
5	4,610	2445.8	− 2528	−82.2	× 383 / 2575	−12.2
6	4,611	2460.2	− 2552	−91.8	× 395 / 2575	−14.1
7	4,612	2478.3	− 2567	−88.7	× 367 / 2575	−12.6
8	4,613	2498.0	− 2586	−88	× 370 / 2575	−12.6
11	4,614	2504.1	− 2628	−123.9	× 336 / 2575	−16.2
Sum, rounded to a whole point						−81

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,598	2394.5	− 2436	−41.5	× 402 / 2592	−6.4
4	4,599	2443.0	− 2485	−42	× 335 / 2592	−5.4
5	4,600	2452.5	− 2528	−75.5	× 374 / 2592	−10.9
6	4,601	2457.8	− 2552	−94.2	× 367 / 2592	−13.3
7	4,602	2472.2	− 2567	−94.8	× 385 / 2592	−14.1
8	4,603	2462.1	− 2586	−123.9	× 363 / 2592	−17.4
11	4,604	2501.0	− 2628	−127	× 366 / 2592	−17.9
Sum, rounded to a whole point						−85

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −51, −46, −49, −50, −56, −78, −80, −85, −86, −81, −85 → −67.9
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: 3 · 2017→2018: 1 · 2018→2019: 6 · 2019→2021: 22 · 2021→2022: 2 · 2022→2023: 5 · 2023→2024: 1 · 2024→2025: 5 · 2025→2026: 4 → average 5.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.4 × 2.66 = 14.4. Upper limit −53.5, lower limit −82.3.

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.