Brentwood Elementary: 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.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,655	2355.6	− 2436	−80.4	× 129 / 511	−20.3
4	68,657	2399.8	− 2485	−85.2	× 121 / 511	−20.2
5	68,659	2449.5	− 2528	−78.5	× 123 / 511	−18.9
6	68,661	2453.3	− 2552	−98.7	× 138 / 511	−26.7
Sum, rounded to a whole point						−86

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,601	2366.9	− 2436	−69.1	× 134 / 505	−18.3
4	63,603	2393.3	− 2485	−91.7	× 125 / 505	−22.7
5	63,606	2428.2	− 2528	−99.8	× 126 / 505	−24.9
6	63,608	2436.2	− 2552	−115.8	× 120 / 505	−27.5
Sum, rounded to a whole point						−93

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,400	2365.9	− 2436	−70.1	× 117 / 513	−16
4	65,402	2382.9	− 2485	−102.1	× 139 / 513	−27.7
5	65,404	2406.7	− 2528	−121.3	× 125 / 513	−29.6
6	65,406	2435.7	− 2552	−116.3	× 132 / 513	−29.9
Sum, rounded to a whole point						−103

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,484	2363.4	− 2436	−72.6	× 137 / 527	−18.9
4	65,486	2379.9	− 2485	−105.1	× 126 / 527	−25.1
5	65,488	2411.3	− 2528	−116.7	× 134 / 527	−29.7
6	65,490	2434.0	− 2552	−118	× 130 / 527	−29.1
Sum, rounded to a whole point						−103

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,873	2366.9	− 2436	−69.1	× 123 / 497	−17.1
4	65,874	2392.2	− 2485	−92.8	× 123 / 497	−23
5	65,875	2409.6	− 2528	−118.4	× 112 / 497	−26.7
6	65,876	2424.0	− 2552	−128	× 139 / 497	−35.8
Sum, rounded to a whole point						−103

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,934	2347.7	− 2436	−88.3	× 119 / 447	−23.5
4	65,935	2355.4	− 2485	−129.6	× 105 / 447	−30.4
5	65,936	2356.9	− 2528	−171.1	× 111 / 447	−42.5
6	65,937	2388.6	− 2552	−163.4	× 112 / 447	−40.9
Sum, rounded to a whole point						−137

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,941	2331.2	− 2436	−104.8	× 127 / 519	−25.6
4	65,942	2351.7	− 2485	−133.3	× 129 / 519	−33.1
5	65,943	2389.1	− 2528	−138.9	× 126 / 519	−33.7
6	65,944	2394.3	− 2552	−157.7	× 137 / 519	−41.6
Sum, rounded to a whole point						−134

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,909	2331.1	− 2436	−104.9	× 103 / 499	−21.7
4	65,910	2365.8	− 2485	−119.2	× 129 / 499	−30.8
5	65,911	2383.6	− 2528	−144.4	× 139 / 499	−40.2
6	65,912	2404.9	− 2552	−147.1	× 128 / 499	−37.7
Sum, rounded to a whole point						−130

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,669	2347.4	− 2436	−88.6	× 109 / 506	−19.1
4	65,670	2354.4	− 2485	−130.6	× 116 / 506	−29.9
5	65,671	2377.7	− 2528	−150.3	× 138 / 506	−41
6	65,672	2394.1	− 2552	−157.9	× 143 / 506	−44.6
Sum, rounded to a whole point						−135

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −86, −93, −103, −103, −103, −137, −134, −130, −135 → −113.8
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: 10 · 2017→2018: 0 · 2018→2019: 0 · 2019→2022: 34 · 2022→2023: 3 · 2023→2024: 4 · 2024→2025: 5 → average 7.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.9 × 2.66 = 21. Upper limit −92.8, lower limit −134.8.

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 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.