Scale Leadership Academy - East: 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
6	55,519	2413.1	− 2552	−138.9	× 17 / 39	−60.5
8	55,521	2450.4	− 2586	−135.6	× 22 / 39	−76.5
Sum, rounded to a whole point						−137

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,570	2398.8	− 2436	−37.2	× 85 / 506	−6.2
4	55,571	2430.2	− 2485	−54.8	× 83 / 506	−9
5	55,572	2450.8	− 2528	−77.2	× 71 / 506	−10.8
6	55,573	2441.2	− 2552	−110.8	× 94 / 506	−20.6
7	55,574	2475.1	− 2567	−91.9	× 70 / 506	−12.7
8	55,575	2458.0	− 2586	−128	× 62 / 506	−15.7
11	55,576	2449.4	− 2628	−178.6	× 41 / 506	−14.5
Sum, rounded to a whole point						−90

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,519	2425.6	− 2436	−10.4	× 93 / 569	−1.7
4	55,520	2441.8	− 2485	−43.2	× 92 / 569	−7
5	55,521	2454.2	− 2528	−73.8	× 89 / 569	−11.5
6	55,522	2470.1	− 2552	−81.9	× 79 / 569	−11.4
7	55,523	2466.5	− 2567	−100.5	× 88 / 569	−15.5
8	55,524	2451.7	− 2586	−134.3	× 86 / 569	−20.3
11	55,525	2488.2	− 2628	−139.8	× 42 / 569	−10.3
Sum, rounded to a whole point						−78

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,395	2393.1	− 2436	−42.9	× 112 / 657	−7.3
4	55,396	2453.7	− 2485	−31.3	× 96 / 657	−4.6
5	55,397	2460.7	− 2528	−67.3	× 97 / 657	−9.9
6	55,398	2449.0	− 2552	−103	× 110 / 657	−17.2
7	55,399	2478.4	− 2567	−88.6	× 98 / 657	−13.2
8	55,400	2482.2	− 2586	−103.8	× 113 / 657	−17.9
11	55,401	2486.4	− 2628	−141.6	× 31 / 657	−6.7
Sum, rounded to a whole point						−77

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,147	2414.3	− 2436	−21.7	× 119 / 809	−3.2
4	55,148	2437.0	− 2485	−48	× 115 / 809	−6.8
5	55,149	2472.1	− 2528	−55.9	× 116 / 809	−8
6	55,150	2456.2	− 2552	−95.8	× 118 / 809	−14
7	55,151	2507.4	− 2567	−59.6	× 144 / 809	−10.6
8	55,152	2514.7	− 2586	−71.3	× 151 / 809	−13.3
11	55,153	2523.6	− 2628	−104.4	× 46 / 809	−5.9
Sum, rounded to a whole point						−62

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −137, −90, −78, −77, −62 → −88.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2019→2022: 47 · 2022→2023: 12 · 2023→2024: 1 · 2024→2025: 15 → average 18.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.8 × 2.66 = 50. Upper limit −38.8, lower limit −138.8.

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.