Julia Lee Performing Arts Academy: math

The shaded band is this school'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.

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,952	2391.7	− 2436	−44.3	× 15 / 43	−15.5
4	52,953	2453.3	− 2485	−31.7	× 17 / 43	−12.5
5	52,954	2487.3	− 2528	−40.7	× 11 / 43	−10.4
Sum, rounded to a whole point						−38

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,939	2383.7	− 2436	−52.3	× 44 / 207	−11.1
4	52,940	2398.7	− 2485	−86.3	× 38 / 207	−15.8
5	52,941	2419.5	− 2528	−108.5	× 48 / 207	−25.2
6	52,942	2429.8	− 2552	−122.2	× 29 / 207	−17.1
7	52,943	2476.2	− 2567	−90.8	× 27 / 207	−11.8
8	52,944	2465.8	− 2586	−120.2	× 21 / 207	−12.2
Sum, rounded to a whole point						−93

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,898	2412.0	− 2436	−24	× 48 / 255	−4.5
4	52,899	2402.1	− 2485	−82.9	× 47 / 255	−15.3
5	52,900	2446.9	− 2528	−81.1	× 43 / 255	−13.7
6	52,901	2423.2	− 2552	−128.8	× 58 / 255	−29.3
7	52,902	2450.0	− 2567	−117	× 28 / 255	−12.8
8	52,903	2491.7	− 2586	−94.3	× 31 / 255	−11.5
Sum, rounded to a whole point						−87

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,732	2418.7	− 2436	−17.3	× 47 / 257	−3.2
4	52,733	2430.5	− 2485	−54.5	× 45 / 257	−9.5
5	52,734	2439.4	− 2528	−88.6	× 49 / 257	−16.9
6	52,735	2429.7	− 2552	−122.3	× 46 / 257	−21.9
7	52,736	2442.3	− 2567	−124.7	× 41 / 257	−19.9
8	52,737	2471.0	− 2586	−115	× 29 / 257	−13
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,484	2404.5	− 2436	−31.5	× 41 / 250	−5.2
4	52,485	2466.4	− 2485	−18.6	× 48 / 250	−3.6
5	52,486	2433.5	− 2528	−94.5	× 44 / 250	−16.6
6	52,487	2457.7	− 2552	−94.3	× 42 / 250	−15.8
7	52,488	2459.3	− 2567	−107.7	× 34 / 250	−14.6
8	52,489	2486.7	− 2586	−99.3	× 41 / 250	−16.3
Sum, rounded to a whole point						−72

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −93, −87, −84, −72 → −74.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2019→2022: 55 · 2022→2023: 6 · 2023→2024: 3 · 2024→2025: 12 → average 19
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 19 × 2.66 = 50.5. Upper limit −24.3, lower limit −125.3.

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. From 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.