Banning 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	55,392	2400.5	− 2436	−35.5	× 398 / 2266	−6.2
4	55,394	2432.2	− 2485	−52.8	× 331 / 2266	−7.7
5	55,396	2459.5	− 2528	−68.5	× 342 / 2266	−10.3
6	55,398	2464.4	− 2552	−87.6	× 315 / 2266	−12.2
7	55,400	2452.3	− 2567	−114.7	× 283 / 2266	−14.3
8	55,402	2459.4	− 2586	−126.6	× 324 / 2266	−18.1
11	55,404	2532.0	− 2628	−96	× 273 / 2266	−11.6
Sum, rounded to a whole point						−80

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,448	2389.3	− 2436	−46.7	× 377 / 2327	−7.6
4	51,450	2425.8	− 2485	−59.2	× 387 / 2327	−9.8
5	51,452	2441.7	− 2528	−86.3	× 322 / 2327	−11.9
6	51,454	2463.4	− 2552	−88.6	× 323 / 2327	−12.3
7	51,456	2462.4	− 2567	−104.6	× 325 / 2327	−14.6
8	51,458	2459.0	− 2586	−127	× 274 / 2327	−15
11	51,460	2516.9	− 2628	−111.1	× 319 / 2327	−15.2
Sum, rounded to a whole point						−86

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,930	2390.2	− 2436	−45.8	× 328 / 2344	−6.4
4	52,932	2418.7	− 2485	−66.3	× 381 / 2344	−10.8
5	52,934	2435.1	− 2528	−92.9	× 383 / 2344	−15.2
6	52,936	2451.2	− 2552	−100.8	× 311 / 2344	−13.4
7	52,938	2459.9	− 2567	−107.1	× 313 / 2344	−14.3
8	52,940	2437.2	− 2586	−148.8	× 320 / 2344	−20.3
11	52,943	2511.2	− 2628	−116.8	× 308 / 2344	−15.3
Sum, rounded to a whole point						−96

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,021	2388.0	− 2436	−48	× 340 / 2361	−6.9
4	53,024	2425.0	− 2485	−60	× 335 / 2361	−8.5
5	53,025	2433.2	− 2528	−94.8	× 379 / 2361	−15.2
6	53,028	2411.1	− 2552	−140.9	× 343 / 2361	−20.5
7	53,029	2452.0	− 2567	−115	× 305 / 2361	−14.9
8	53,032	2446.1	− 2586	−139.9	× 335 / 2361	−19.9
11	53,033	2479.9	− 2628	−148.1	× 324 / 2361	−20.3
Sum, rounded to a whole point						−106

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,256	2391.2	− 2436	−44.8	× 334 / 2204	−6.8
4	53,257	2422.9	− 2485	−62.1	× 344 / 2204	−9.7
5	53,258	2439.8	− 2528	−88.2	× 311 / 2204	−12.4
6	53,259	2414.1	− 2552	−137.9	× 349 / 2204	−21.8
7	53,260	2434.7	− 2567	−132.3	× 306 / 2204	−18.4
8	53,261	2443.4	− 2586	−142.6	× 277 / 2204	−17.9
11	53,262	2493.2	− 2628	−134.8	× 283 / 2204	−17.3
Sum, rounded to a whole point						−104

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,262	2375.7	− 2436	−60.3	× 344 / 2206	−9.4
4	53,263	2405.2	− 2485	−79.8	× 338 / 2206	−12.2
5	53,264	2412.0	− 2528	−116	× 353 / 2206	−18.6
6	53,265	2417.7	− 2552	−134.3	× 315 / 2206	−19.2
7	53,266	2417.5	− 2567	−149.5	× 299 / 2206	−20.3
8	53,267	2419.7	− 2586	−166.3	× 283 / 2206	−21.3
11	53,268	2465.1	− 2628	−162.9	× 274 / 2206	−20.2
Sum, rounded to a whole point						−121

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,215	2389.9	− 2436	−46.1	× 377 / 2334	−7.4
4	53,216	2414.6	− 2485	−70.4	× 345 / 2334	−10.4
5	53,217	2426.8	− 2528	−101.2	× 351 / 2334	−15.2
6	53,218	2405.3	− 2552	−146.7	× 362 / 2334	−22.8
7	53,219	2432.8	− 2567	−134.2	× 316 / 2334	−18.2
8	53,220	2424.6	− 2586	−161.4	× 286 / 2334	−19.8
11	53,221	2470.1	− 2628	−157.9	× 297 / 2334	−20.1
Sum, rounded to a whole point						−114

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,067	2395.2	− 2436	−40.8	× 298 / 2278	−5.3
4	53,068	2420.6	− 2485	−64.4	× 355 / 2278	−10
5	53,069	2426.3	− 2528	−101.7	× 344 / 2278	−15.4
6	53,070	2432.0	− 2552	−120	× 313 / 2278	−16.5
7	53,071	2416.6	− 2567	−150.4	× 343 / 2278	−22.6
8	53,072	2437.7	− 2586	−148.3	× 304 / 2278	−19.8
11	53,073	2480.1	− 2628	−147.9	× 321 / 2278	−20.8
Sum, rounded to a whole point						−110

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,809	2394.2	− 2436	−41.8	× 319 / 2222	−6
4	52,810	2413.4	− 2485	−71.6	× 299 / 2222	−9.6
5	52,811	2433.5	− 2528	−94.5	× 349 / 2222	−14.8
6	52,812	2417.2	− 2552	−134.8	× 321 / 2222	−19.5
7	52,813	2442.0	− 2567	−125	× 320 / 2222	−18
8	52,814	2425.8	− 2586	−160.2	× 321 / 2222	−23.1
11	52,815	2495.4	− 2628	−132.6	× 293 / 2222	−17.5
Sum, rounded to a whole point						−109

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,738	2403.5	− 2436	−32.5	× 302 / 2172	−4.5
4	52,739	2420.0	− 2485	−65	× 317 / 2172	−9.5
5	52,740	2421.2	− 2528	−106.8	× 304 / 2172	−14.9
6	52,741	2440.0	− 2552	−112	× 323 / 2172	−16.7
7	52,742	2439.6	− 2567	−127.4	× 329 / 2172	−19.3
8	52,743	2474.1	− 2586	−111.9	× 322 / 2172	−16.6
11	52,744	2484.3	− 2628	−143.7	× 275 / 2172	−18.2
Sum, rounded to a whole point						−100

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −80, −86, −96, −106, −104, −121, −114, −110, −109, −100 → −102.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 10 · 2017→2018: 10 · 2018→2019: 2 · 2019→2022: 17 · 2022→2023: 7 · 2023→2024: 4 · 2024→2025: 1 · 2025→2026: 9 → average 7.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.3 × 2.66 = 19.4. Upper limit −83.2, lower limit −122.

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.

Banning Unified