Yuba: 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	105,779	2413.2	− 2436	−22.8	× 1109 / 7033	−3.6
4	105,782	2446.1	− 2485	−38.9	× 1126 / 7033	−6.2
5	105,783	2465.1	− 2528	−62.9	× 1015 / 7033	−9.1
6	105,786	2479.6	− 2552	−72.4	× 1035 / 7033	−10.7
7	105,787	2494.6	− 2567	−72.4	× 1001 / 7033	−10.3
8	105,790	2498.1	− 2586	−87.9	× 925 / 7033	−11.6
11	105,791	2523.2	− 2628	−104.8	× 822 / 7033	−12.2
Sum, rounded to a whole point						−64

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,272	2421.1	− 2436	−14.9	× 1144 / 7367	−2.3
4	98,273	2456.0	− 2485	−29	× 1107 / 7367	−4.4
5	98,276	2465.0	− 2528	−63	× 1147 / 7367	−9.8
6	98,278	2491.3	− 2552	−60.7	× 1054 / 7367	−8.7
7	98,280	2493.5	− 2567	−73.5	× 1049 / 7367	−10.5
8	98,282	2511.5	− 2586	−74.5	× 1015 / 7367	−10.3
11	98,284	2534.2	− 2628	−93.8	× 851 / 7367	−10.8
Sum, rounded to a whole point						−57

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,137	2419.9	− 2436	−16.1	× 1115 / 7393	−2.4
4	101,138	2451.5	− 2485	−33.5	× 1161 / 7393	−5.3
5	101,140	2475.2	− 2528	−52.8	× 1121 / 7393	−8
6	101,143	2490.2	− 2552	−61.8	× 1142 / 7393	−9.5
7	101,145	2499.3	− 2567	−67.7	× 1030 / 7393	−9.4
8	101,147	2505.0	− 2586	−81	× 1024 / 7393	−11.2
11	101,148	2518.2	− 2628	−109.8	× 800 / 7393	−11.9
Sum, rounded to a whole point						−58

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,289	2420.6	− 2436	−15.4	× 1049 / 7510	−2.2
4	101,292	2457.6	− 2485	−27.4	× 1129 / 7510	−4.1
5	101,293	2479.5	− 2528	−48.5	× 1193 / 7510	−7.7
6	101,296	2497.1	− 2552	−54.9	× 1110 / 7510	−8.1
7	101,297	2494.6	− 2567	−72.4	× 1160 / 7510	−11.2
8	101,300	2513.5	− 2586	−72.5	× 1013 / 7510	−9.8
11	101,301	2516.0	− 2628	−112	× 856 / 7510	−12.8
Sum, rounded to a whole point						−56

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,952	2420.9	− 2436	−15.1	× 1140 / 7648	−2.3
4	101,953	2455.7	− 2485	−29.3	× 1071 / 7648	−4.1
5	101,954	2484.0	− 2528	−44	× 1114 / 7648	−6.4
6	101,955	2498.2	− 2552	−53.8	× 1162 / 7648	−8.2
7	101,956	2508.0	− 2567	−59	× 1099 / 7648	−8.5
8	101,957	2503.8	− 2586	−82.2	× 1111 / 7648	−11.9
11	101,958	2523.3	− 2628	−104.7	× 951 / 7648	−13
Sum, rounded to a whole point						−54

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,813	2376.2	− 2436	−59.8	× 889 / 5469	−9.7
4	99,814	2407.8	− 2485	−77.2	× 897 / 5469	−12.7
5	99,815	2427.2	− 2528	−100.8	× 857 / 5469	−15.8
6	99,816	2451.2	− 2552	−100.8	× 833 / 5469	−15.4
7	99,817	2480.0	− 2567	−87	× 720 / 5469	−11.5
8	99,818	2480.1	− 2586	−105.9	× 757 / 5469	−14.7
11	99,819	2516.4	− 2628	−111.6	× 516 / 5469	−10.5
Sum, rounded to a whole point						−90

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,225	2398.9	− 2436	−37.1	× 1108 / 7510	−5.5
4	102,226	2438.4	− 2485	−46.6	× 1160 / 7510	−7.2
5	102,227	2454.4	− 2528	−73.6	× 1145 / 7510	−11.2
6	102,228	2475.1	− 2552	−76.9	× 1124 / 7510	−11.5
7	102,229	2467.9	− 2567	−99.1	× 1036 / 7510	−13.7
8	102,230	2496.8	− 2586	−89.2	× 1017 / 7510	−12.1
11	102,231	2502.2	− 2628	−125.8	× 920 / 7510	−15.4
Sum, rounded to a whole point						−77

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,039	2402.3	− 2436	−33.7	× 1147 / 7858	−4.9
4	102,040	2437.3	− 2485	−47.7	× 1153 / 7858	−7
5	102,041	2456.3	− 2528	−71.7	× 1219 / 7858	−11.1
6	102,042	2478.2	− 2552	−73.8	× 1175 / 7858	−11
7	102,043	2478.0	− 2567	−89	× 1117 / 7858	−12.7
8	102,044	2480.3	− 2586	−105.7	× 1043 / 7858	−14
11	102,045	2513.1	− 2628	−114.9	× 1004 / 7858	−14.7
Sum, rounded to a whole point						−75

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,932	2404.9	− 2436	−31.1	× 1210 / 8102	−4.6
4	101,933	2431.6	− 2485	−53.4	× 1166 / 8102	−7.7
5	101,934	2451.9	− 2528	−76.1	× 1164 / 8102	−10.9
6	101,935	2473.1	− 2552	−78.9	× 1201 / 8102	−11.7
7	101,936	2484.4	− 2567	−82.6	× 1177 / 8102	−12
8	101,937	2489.6	− 2586	−96.4	× 1137 / 8102	−13.5
11	101,938	2501.9	− 2628	−126.1	× 1047 / 8102	−16.3
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	101,594	2407.4	− 2436	−28.6	× 1227 / 8224	−4.3
4	101,595	2439.6	− 2485	−45.4	× 1192 / 8224	−6.6
5	101,596	2453.0	− 2528	−75	× 1199 / 8224	−10.9
6	101,597	2470.6	− 2552	−81.4	× 1155 / 8224	−11.4
7	101,598	2484.1	− 2567	−82.9	× 1209 / 8224	−12.2
8	101,599	2496.1	− 2586	−89.9	× 1192 / 8224	−13
11	101,600	2508.3	− 2628	−119.7	× 1050 / 8224	−15.3
Sum, rounded to a whole point						−74

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −64, −57, −58, −56, −54, −90, −77, −75, −77, −74 → −68.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 1 · 2017→2018: 2 · 2018→2019: 2 · 2019→2021: 36 · 2021→2022: 13 · 2022→2023: 2 · 2023→2024: 2 · 2024→2025: 3 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit −48, lower limit −88.4.

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 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.