Luther Burbank: 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	87,780	2413.6	− 2436	−22.4	× 58 / 335	−3.9
4	87,781	2438.1	− 2485	−46.9	× 63 / 335	−8.8
5	87,784	2446.0	− 2528	−82	× 47 / 335	−11.5
6	87,785	2518.0	− 2552	−34	× 62 / 335	−6.3
7	87,788	2501.4	− 2567	−65.6	× 56 / 335	−11
8	87,789	2522.4	− 2586	−63.6	× 49 / 335	−9.3
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	81,455	2439.0	− 2436	3	× 49 / 329	0.4
4	81,458	2433.8	− 2485	−51.2	× 63 / 329	−9.8
5	81,460	2449.6	− 2528	−78.4	× 60 / 329	−14.3
6	81,462	2500.8	− 2552	−51.2	× 47 / 329	−7.3
7	81,464	2505.0	− 2567	−62	× 57 / 329	−10.7
8	81,466	2572.9	− 2586	−13.1	× 53 / 329	−2.1
Sum, rounded to a whole point						−44

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,728	2403.5	− 2436	−32.5	× 64 / 333	−6.2
4	83,729	2486.0	− 2485	1	× 51 / 333	0.2
5	83,731	2444.8	− 2528	−83.2	× 57 / 333	−14.2
6	83,733	2476.7	− 2552	−75.3	× 62 / 333	−14
7	83,736	2484.1	− 2567	−82.9	× 44 / 333	−11
8	83,738	2568.9	− 2586	−17.1	× 55 / 333	−2.8
Sum, rounded to a whole point						−48

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,948	2413.3	− 2436	−22.7	× 56 / 346	−3.7
4	83,949	2464.7	− 2485	−20.3	× 69 / 346	−4
5	83,952	2461.9	− 2528	−66.1	× 53 / 346	−10.1
6	83,953	2503.1	− 2552	−48.9	× 60 / 346	−8.5
7	83,956	2487.2	− 2567	−79.8	× 63 / 346	−14.5
8	83,957	2557.0	− 2586	−29	× 45 / 346	−3.8
Sum, rounded to a whole point						−45

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,564	2427.2	− 2436	−8.8	× 52 / 349	−1.3
4	84,565	2465.8	− 2485	−19.2	× 60 / 349	−3.3
5	84,566	2452.2	− 2528	−75.8	× 63 / 349	−13.7
6	84,567	2487.3	− 2552	−64.7	× 58 / 349	−10.8
7	84,568	2494.1	− 2567	−72.9	× 54 / 349	−11.3
8	84,569	2543.4	− 2586	−42.6	× 62 / 349	−7.6
Sum, rounded to a whole point						−48

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,735	2396.8	− 2436	−39.2	× 46 / 301	−6
4	84,736	2441.9	− 2485	−43.1	× 51 / 301	−7.3
5	84,737	2457.5	− 2528	−70.5	× 40 / 301	−9.4
6	84,738	2462.9	− 2552	−89.1	× 44 / 301	−13
7	84,739	2490.7	− 2567	−76.3	× 55 / 301	−13.9
8	84,740	2529.5	− 2586	−56.5	× 65 / 301	−12.2
Sum, rounded to a whole point						−62

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,674	2413.9	− 2436	−22.1	× 49 / 299	−3.6
4	84,675	2424.1	− 2485	−60.9	× 52 / 299	−10.6
5	84,676	2446.5	− 2528	−81.5	× 52 / 299	−14.2
6	84,677	2501.4	− 2552	−50.6	× 44 / 299	−7.4
7	84,678	2527.5	− 2567	−39.5	× 45 / 299	−5.9
8	84,679	2553.0	− 2586	−33	× 57 / 299	−6.3
Sum, rounded to a whole point						−48

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,667	2400.2	− 2436	−35.8	× 36 / 284	−4.5
4	84,668	2460.1	− 2485	−24.9	× 52 / 284	−4.6
5	84,669	2432.8	− 2528	−95.2	× 53 / 284	−17.8
6	84,670	2451.5	− 2552	−100.5	× 53 / 284	−18.8
7	84,671	2504.7	− 2567	−62.3	× 46 / 284	−10.1
8	84,672	2545.9	− 2586	−40.1	× 44 / 284	−6.2
Sum, rounded to a whole point						−62

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,361	2399.2	− 2436	−36.8	× 39 / 269	−5.3
4	84,362	2471.2	− 2485	−13.8	× 36 / 269	−1.8
5	84,363	2425.2	− 2528	−102.8	× 53 / 269	−20.3
6	84,364	2515.2	− 2552	−36.8	× 48 / 269	−6.6
7	84,365	2491.3	− 2567	−75.7	× 50 / 269	−14.1
8	84,366	2552.9	− 2586	−33.1	× 43 / 269	−5.3
Sum, rounded to a whole point						−53

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,136	2427.7	− 2436	−8.3	× 39 / 248	−1.3
4	84,137	2440.3	− 2485	−44.7	× 32 / 248	−5.8
5	84,138	2457.8	− 2528	−70.2	× 32 / 248	−9.1
6	84,139	2545.0	− 2552	−7	× 50 / 248	−1.4
7	84,140	2511.5	− 2567	−55.5	× 47 / 248	−10.5
8	84,141	2479.5	− 2586	−106.5	× 48 / 248	−20.6
Sum, rounded to a whole point						−49

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −51, −44, −48, −45, −48, −62, −48, −62, −53, −49 → −51
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: 4 · 2017→2018: 3 · 2018→2019: 3 · 2019→2022: 14 · 2022→2023: 14 · 2023→2024: 14 · 2024→2025: 9 · 2025→2026: 4 → average 8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8 × 2.66 = 21.3. Upper limit −29.7, lower limit −72.3.

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 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 Luther Burbank

K–8 schools

Luther Burbank Elementary