Rim of the World 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	67,496	2400.7	− 2436	−35.3	× 264 / 1772	−5.3
4	67,498	2426.0	− 2485	−59	× 286 / 1772	−9.5
5	67,500	2460.4	− 2528	−67.6	× 253 / 1772	−9.7
6	67,502	2478.8	− 2552	−73.2	× 256 / 1772	−10.6
7	67,504	2480.3	− 2567	−86.7	× 277 / 1772	−13.6
8	67,506	2528.8	− 2586	−57.2	× 240 / 1772	−7.7
11	67,508	2538.7	− 2628	−89.3	× 196 / 1772	−9.9
Sum, rounded to a whole point						−66

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,559	2409.6	− 2436	−26.4	× 274 / 1841	−3.9
4	62,562	2444.3	− 2485	−40.7	× 264 / 1841	−5.8
5	62,564	2454.3	− 2528	−73.7	× 278 / 1841	−11.1
6	62,566	2448.9	− 2552	−103.1	× 226 / 1841	−12.7
7	62,567	2497.8	− 2567	−69.2	× 234 / 1841	−8.8
8	62,569	2497.9	− 2586	−88.1	× 263 / 1841	−12.6
11	62,572	2541.3	− 2628	−86.7	× 302 / 1841	−14.2
Sum, rounded to a whole point						−69

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,351	2416.7	− 2436	−19.3	× 243 / 1730	−2.7
4	64,354	2443.6	− 2485	−41.4	× 273 / 1730	−6.5
5	64,355	2458.9	− 2528	−69.1	× 254 / 1730	−10.1
6	64,357	2466.2	− 2552	−85.8	× 255 / 1730	−12.6
7	64,359	2482.5	− 2567	−84.5	× 237 / 1730	−11.6
8	64,362	2523.7	− 2586	−62.3	× 225 / 1730	−8.1
11	64,363	2527.4	− 2628	−100.6	× 243 / 1730	−14.1
Sum, rounded to a whole point						−66

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,459	2407.7	− 2436	−28.3	× 246 / 1703	−4.1
4	64,460	2444.8	− 2485	−40.2	× 258 / 1703	−6.1
5	64,463	2462.3	− 2528	−65.7	× 270 / 1703	−10.4
6	64,464	2483.7	− 2552	−68.3	× 237 / 1703	−9.5
7	64,467	2478.6	− 2567	−88.4	× 248 / 1703	−12.9
8	64,468	2447.0	− 2586	−139	× 227 / 1703	−18.5
11	64,471	2546.5	− 2628	−81.5	× 217 / 1703	−10.4
Sum, rounded to a whole point						−72

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,830	2398.2	− 2436	−37.8	× 219 / 1632	−5.1
4	64,831	2442.9	− 2485	−42.1	× 241 / 1632	−6.2
5	64,832	2465.1	− 2528	−62.9	× 244 / 1632	−9.4
6	64,833	2471.4	− 2552	−80.6	× 254 / 1632	−12.5
7	64,834	2495.4	− 2567	−71.6	× 208 / 1632	−9.1
8	64,835	2508.9	− 2586	−77.1	× 242 / 1632	−11.4
11	64,836	2505.9	− 2628	−122.1	× 224 / 1632	−16.8
Sum, rounded to a whole point						−71

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	63,448	2442.5	− 2552	−109.5	× 162 / 645	−27.5
7	63,449	2471.4	− 2567	−95.6	× 154 / 645	−22.8
8	63,450	2485.4	− 2586	−100.6	× 184 / 645	−28.7
11	63,451	2497.4	− 2628	−130.6	× 145 / 645	−29.4
Sum, rounded to a whole point						−108

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,897	2369.7	− 2436	−66.3	× 187 / 1365	−9.1
4	64,898	2437.8	− 2485	−47.2	× 210 / 1365	−7.3
5	64,899	2451.8	− 2528	−76.2	× 188 / 1365	−10.5
6	64,900	2439.6	− 2552	−112.4	× 180 / 1365	−14.8
7	64,901	2460.2	− 2567	−106.8	× 183 / 1365	−14.3
8	64,902	2500.8	− 2586	−85.2	× 196 / 1365	−12.2
11	64,903	2499.3	− 2628	−128.7	× 221 / 1365	−20.8
Sum, rounded to a whole point						−89

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,894	2393.7	− 2436	−42.3	× 189 / 1363	−5.9
4	64,895	2409.7	− 2485	−75.3	× 188 / 1363	−10.4
5	64,896	2451.0	− 2528	−77	× 217 / 1363	−12.3
6	64,897	2442.2	− 2552	−109.8	× 191 / 1363	−15.4
7	64,898	2439.3	− 2567	−127.7	× 169 / 1363	−15.8
8	64,899	2461.0	− 2586	−125	× 194 / 1363	−17.8
11	64,900	2508.6	− 2628	−119.4	× 215 / 1363	−18.8
Sum, rounded to a whole point						−96

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,862	2413.6	− 2436	−22.4	× 205 / 1398	−3.3
4	64,863	2442.5	− 2485	−42.5	× 192 / 1398	−5.8
5	64,864	2443.7	− 2528	−84.3	× 190 / 1398	−11.5
6	64,865	2462.8	− 2552	−89.2	× 211 / 1398	−13.5
7	64,866	2445.7	− 2567	−121.3	× 179 / 1398	−15.5
8	64,867	2456.5	− 2586	−129.5	× 157 / 1398	−14.5
11	64,868	2507.4	− 2628	−120.6	× 264 / 1398	−22.8
Sum, rounded to a whole point						−87

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,618	2404.9	− 2436	−31.1	× 199 / 1411	−4.4
4	64,619	2450.9	− 2485	−34.1	× 215 / 1411	−5.2
5	64,620	2456.4	− 2528	−71.6	× 196 / 1411	−9.9
6	64,621	2442.8	− 2552	−109.2	× 190 / 1411	−14.7
7	64,622	2468.4	− 2567	−98.6	× 220 / 1411	−15.4
8	64,623	2459.7	− 2586	−126.3	× 183 / 1411	−16.4
11	64,624	2518.4	− 2628	−109.6	× 208 / 1411	−16.2
Sum, rounded to a whole point						−82

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,592	2412.7	− 2436	−23.3	× 204 / 1470	−3.2
4	64,593	2445.1	− 2485	−39.9	× 214 / 1470	−5.8
5	64,594	2455.8	− 2528	−72.2	× 224 / 1470	−11
6	64,595	2456.0	− 2552	−96	× 197 / 1470	−12.9
7	64,596	2455.9	− 2567	−111.1	× 187 / 1470	−14.1
8	64,597	2491.6	− 2586	−94.4	× 226 / 1470	−14.5
11	64,598	2518.2	− 2628	−109.8	× 218 / 1470	−16.3
Sum, rounded to a whole point						−78

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −66, −69, −66, −72, −71, −108, −89, −96, −87, −82, −78 → −80.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 3 · 2017→2018: 6 · 2018→2019: 1 · 2019→2021: 37 · 2021→2022: 19 · 2022→2023: 7 · 2023→2024: 9 · 2024→2025: 5 · 2025→2026: 4 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit −55.4, lower limit −105.4.

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.

Schools in Rim of the World Unified

Elementary schools