Central 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	12,304	2403.0	− 2436	−33	× 1187 / 8078	−4.8
4	12,305	2435.3	− 2485	−49.7	× 1183 / 8078	−7.3
5	12,307	2458.6	− 2528	−69.4	× 1189 / 8078	−10.2
6	12,309	2481.5	− 2552	−70.5	× 1159 / 8078	−10.1
7	12,312	2486.6	− 2567	−80.4	× 1223 / 8078	−12.2
8	12,313	2492.3	− 2586	−93.7	× 1147 / 8078	−13.3
11	12,316	2508.4	− 2628	−119.6	× 990 / 8078	−14.7
Sum, rounded to a whole point						−73

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,332	2413.4	− 2436	−22.6	× 1191 / 8288	−3.2
4	11,334	2441.3	− 2485	−43.7	× 1219 / 8288	−6.4
5	11,337	2464.9	− 2528	−63.1	× 1195 / 8288	−9.1
6	11,338	2491.8	− 2552	−60.2	× 1212 / 8288	−8.8
7	11,341	2490.8	− 2567	−76.2	× 1215 / 8288	−11.2
8	11,343	2506.9	− 2586	−79.1	× 1222 / 8288	−11.7
11	11,345	2513.3	− 2628	−114.7	× 1034 / 8288	−14.3
Sum, rounded to a whole point						−65

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,657	2424.9	− 2436	−11.1	× 1160 / 8200	−1.6
4	11,659	2456.8	− 2485	−28.2	× 1202 / 8200	−4.1
5	11,661	2465.2	− 2528	−62.8	× 1221 / 8200	−9.4
6	11,662	2502.2	− 2552	−49.8	× 1218 / 8200	−7.4
7	11,664	2494.7	− 2567	−72.3	× 1219 / 8200	−10.7
8	11,667	2502.8	− 2586	−83.2	× 1197 / 8200	−12.1
11	11,669	2514.6	− 2628	−113.4	× 983 / 8200	−13.6
Sum, rounded to a whole point						−59

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,688	2433.1	− 2436	−2.9	× 1149 / 8142	−0.4
4	11,691	2459.5	− 2485	−25.5	× 1154 / 8142	−3.6
5	11,692	2479.4	− 2528	−48.6	× 1191 / 8142	−7.1
6	11,695	2498.6	− 2552	−53.4	× 1254 / 8142	−8.2
7	11,697	2500.6	− 2567	−66.4	× 1215 / 8142	−9.9
8	11,699	2501.9	− 2586	−84.1	× 1197 / 8142	−12.4
11	11,700	2511.5	− 2628	−116.5	× 982 / 8142	−14.1
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	11,784	2429.5	− 2436	−6.5	× 1155 / 8103	−0.9
4	11,785	2467.1	− 2485	−17.9	× 1136 / 8103	−2.5
5	11,786	2483.7	− 2528	−44.3	× 1148 / 8103	−6.3
6	11,787	2513.0	− 2552	−39	× 1190 / 8103	−5.7
7	11,788	2502.2	− 2567	−64.8	× 1288 / 8103	−10.3
8	11,789	2522.2	− 2586	−63.8	× 1177 / 8103	−9.3
11	11,790	2507.4	− 2628	−120.6	× 1009 / 8103	−15
Sum, rounded to a whole point						−50

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	11,616	2536.2	− 2628	−91.8	× 678 / 678	−91.8
Sum, rounded to a whole point						−92

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,759	2403.6	− 2436	−32.4	× 1166 / 8043	−4.7
4	11,760	2440.0	− 2485	−45	× 1158 / 8043	−6.5
5	11,761	2458.2	− 2528	−69.8	× 1198 / 8043	−10.4
6	11,762	2493.1	− 2552	−58.9	× 1204 / 8043	−8.8
7	11,763	2492.9	− 2567	−74.1	× 1151 / 8043	−10.6
8	11,764	2503.5	− 2586	−82.5	× 1163 / 8043	−11.9
11	11,765	2514.9	− 2628	−113.1	× 1003 / 8043	−14.1
Sum, rounded to a whole point						−67

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,744	2405.0	− 2436	−31	× 1134 / 8212	−4.3
4	11,745	2439.1	− 2485	−45.9	× 1182 / 8212	−6.6
5	11,746	2466.8	− 2528	−61.2	× 1164 / 8212	−8.7
6	11,747	2495.5	− 2552	−56.5	× 1213 / 8212	−8.3
7	11,748	2490.9	− 2567	−76.1	× 1240 / 8212	−11.5
8	11,749	2497.7	− 2586	−88.3	× 1163 / 8212	−12.5
11	11,750	2517.0	− 2628	−111	× 1116 / 8212	−15.1
Sum, rounded to a whole point						−67

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,701	2404.7	− 2436	−31.3	× 1132 / 8421	−4.2
4	11,702	2445.7	− 2485	−39.3	× 1170 / 8421	−5.5
5	11,703	2466.7	− 2528	−61.3	× 1212 / 8421	−8.8
6	11,704	2502.2	− 2552	−49.8	× 1222 / 8421	−7.2
7	11,705	2497.6	− 2567	−69.4	× 1290 / 8421	−10.6
8	11,706	2502.5	− 2586	−83.5	× 1258 / 8421	−12.5
11	11,707	2522.2	− 2628	−105.8	× 1137 / 8421	−14.3
Sum, rounded to a whole point						−63

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,640	2414.5	− 2436	−21.5	× 1094 / 8154	−2.9
4	11,641	2444.9	− 2485	−40.1	× 1142 / 8154	−5.6
5	11,642	2477.2	− 2528	−50.8	× 1156 / 8154	−7.2
6	11,643	2500.3	− 2552	−51.7	× 1213 / 8154	−7.7
7	11,644	2507.2	− 2567	−59.8	× 1264 / 8154	−9.3
8	11,645	2506.1	− 2586	−79.9	× 1250 / 8154	−12.2
11	11,646	2525.6	− 2628	−102.4	× 1035 / 8154	−13
Sum, rounded to a whole point						−58

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,664	2412.8	− 2436	−23.2	× 1085 / 8068	−3.1
4	11,665	2450.6	− 2485	−34.4	× 1110 / 8068	−4.7
5	11,666	2468.2	− 2528	−59.8	× 1153 / 8068	−8.5
6	11,667	2502.7	− 2552	−49.3	× 1180 / 8068	−7.2
7	11,668	2500.6	− 2567	−66.4	× 1235 / 8068	−10.2
8	11,669	2517.6	− 2586	−68.4	× 1226 / 8068	−10.4
11	11,670	2523.5	− 2628	−104.5	× 1079 / 8068	−14
Sum, rounded to a whole point						−58

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −73, −65, −59, −56, −50, −92, −67, −67, −63, −58, −58 → −64.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 6 · 2017→2018: 3 · 2018→2019: 6 · 2019→2021: 42 · 2021→2022: 25 · 2022→2023: 0 · 2023→2024: 4 · 2024→2025: 5 · 2025→2026: 0 → average 9.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.9 × 2.66 = 26.3. Upper limit −38.1, lower limit −90.7.

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.

Central Unified