Lomitas 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	68,624	2369.6	− 2436	−66.4	× 123 / 415	−19.7
4	68,627	2387.0	− 2485	−98	× 110 / 415	−26
5	68,628	2414.7	− 2528	−113.3	× 96 / 415	−26.2
6	68,631	2444.4	− 2552	−107.6	× 86 / 415	−22.3
Sum, rounded to a whole point						−94

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,571	2373.6	− 2436	−62.4	× 113 / 446	−15.8
4	63,574	2394.8	− 2485	−90.2	× 121 / 446	−24.5
5	63,575	2400.2	− 2528	−127.8	× 117 / 446	−33.5
6	63,578	2435.6	− 2552	−116.4	× 95 / 446	−24.8
Sum, rounded to a whole point						−99

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,370	2385.4	− 2436	−50.6	× 121 / 492	−12.4
4	65,371	2400.6	− 2485	−84.4	× 122 / 492	−20.9
5	65,373	2409.1	− 2528	−118.9	× 124 / 492	−30
6	65,375	2410.8	− 2552	−141.2	× 125 / 492	−35.9
Sum, rounded to a whole point						−99

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,453	2369.5	− 2436	−66.5	× 106 / 464	−15.2
4	65,456	2414.3	− 2485	−70.7	× 111 / 464	−16.9
5	65,457	2407.6	− 2528	−120.4	× 118 / 464	−30.6
6	65,460	2432.1	− 2552	−119.9	× 129 / 464	−33.3
Sum, rounded to a whole point						−96

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,843	2364.9	− 2436	−71.1	× 105 / 451	−16.6
4	65,844	2413.0	− 2485	−72	× 105 / 451	−16.8
5	65,845	2416.5	− 2528	−111.5	× 113 / 451	−27.9
6	65,846	2434.0	− 2552	−118	× 128 / 451	−33.5
Sum, rounded to a whole point						−95

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,904	2332.7	− 2436	−103.3	× 113 / 446	−26.2
4	65,905	2371.6	− 2485	−113.4	× 109 / 446	−27.7
5	65,906	2390.7	− 2528	−137.3	× 120 / 446	−36.9
6	65,907	2414.0	− 2552	−138	× 104 / 446	−32.2
Sum, rounded to a whole point						−123

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,911	2334.8	− 2436	−101.2	× 124 / 471	−26.6
4	65,912	2392.1	− 2485	−92.9	× 121 / 471	−23.9
5	65,913	2395.0	− 2528	−133	× 108 / 471	−30.5
6	65,914	2427.6	− 2552	−124.4	× 118 / 471	−31.2
Sum, rounded to a whole point						−112

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,879	2338.5	− 2436	−97.5	× 112 / 439	−24.9
4	65,880	2386.0	− 2485	−99	× 107 / 439	−24.1
5	65,881	2391.9	− 2528	−136.1	× 114 / 439	−35.3
6	65,882	2425.0	− 2552	−127	× 106 / 439	−30.7
Sum, rounded to a whole point						−115

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,639	2370.5	− 2436	−65.5	× 92 / 440	−13.7
4	65,640	2380.8	− 2485	−104.2	× 125 / 440	−29.6
5	65,641	2416.0	− 2528	−112	× 110 / 440	−28
6	65,642	2415.1	− 2552	−136.9	× 113 / 440	−35.2
Sum, rounded to a whole point						−106

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −94, −99, −99, −96, −95, −123, −112, −115, −106 → −104.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 0 · 2017→2018: 3 · 2018→2019: 1 · 2019→2022: 28 · 2022→2023: 11 · 2023→2024: 3 · 2024→2025: 9 → average 7.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.5 × 2.66 = 20. Upper limit −84.3, lower limit −124.3.

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