Montara Elementary: english

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	64,640	2364.6	− 2432	−67.4	× 89 / 337	−17.8
4	64,643	2408.2	− 2473	−64.8	× 97 / 337	−18.7
5	64,644	2415.9	− 2502	−86.1	× 70 / 337	−17.9
6	64,647	2434.5	− 2531	−96.5	× 81 / 337	−23.2
Sum, rounded to a whole point						−78

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,960	2375.0	− 2432	−57	× 79 / 339	−13.3
4	59,962	2400.7	− 2473	−72.3	× 109 / 339	−23.2
5	59,963	2421.4	− 2502	−80.6	× 79 / 339	−18.8
6	59,966	2421.5	− 2531	−109.5	× 72 / 339	−23.3
Sum, rounded to a whole point						−79

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,690	2376.0	− 2432	−56	× 91 / 356	−14.3
4	61,692	2414.3	− 2473	−58.7	× 85 / 356	−14
5	61,694	2405.1	− 2502	−96.9	× 111 / 356	−30.2
6	61,695	2471.9	− 2531	−59.1	× 69 / 356	−11.5
Sum, rounded to a whole point						−70

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,782	2355.7	− 2432	−76.3	× 107 / 384	−21.3
4	61,783	2421.1	− 2473	−51.9	× 98 / 384	−13.2
5	61,786	2411.6	− 2502	−90.4	× 85 / 384	−20
6	61,787	2469.8	− 2531	−61.2	× 94 / 384	−15
Sum, rounded to a whole point						−69

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,046	2346.1	− 2432	−85.9	× 109 / 359	−26.1
4	62,047	2390.6	− 2473	−82.4	× 107 / 359	−24.6
5	62,048	2431.9	− 2502	−70.1	× 79 / 359	−15.4
6	62,049	2438.8	− 2531	−92.2	× 64 / 359	−16.4
Sum, rounded to a whole point						−83

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,667	2337.5	− 2432	−94.5	× 81 / 275	−27.8
4	60,668	2346.6	− 2473	−126.4	× 71 / 275	−32.6
5	60,669	2386.0	− 2502	−116	× 64 / 275	−27
6	60,670	2423.6	− 2531	−107.4	× 59 / 275	−23
Sum, rounded to a whole point						−111

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,135	2314.0	− 2432	−118	× 62 / 237	−30.9
4	62,136	2378.6	− 2473	−94.4	× 60 / 237	−23.9
5	62,137	2367.7	− 2502	−134.3	× 55 / 237	−31.2
6	62,138	2441.5	− 2531	−89.5	× 60 / 237	−22.7
Sum, rounded to a whole point						−109

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,073	2307.9	− 2432	−124.1	× 81 / 270	−37.2
4	62,074	2381.4	− 2473	−91.6	× 66 / 270	−22.4
5	62,075	2388.2	− 2502	−113.8	× 66 / 270	−27.8
6	62,076	2401.9	− 2531	−129.1	× 57 / 270	−27.3
Sum, rounded to a whole point						−115

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,024	2355.1	− 2432	−76.9	× 91 / 212	−33
4	62,025	2357.7	− 2473	−115.3	× 71 / 212	−38.6
5	62,026	2378.7	− 2502	−123.3	× 50 / 212	−29.1
Sum, rounded to a whole point						−101

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,785	2363.0	− 2432	−69	× 78 / 157	−34.3
4	61,786	2381.8	− 2473	−91.2	× 79 / 157	−45.9
Sum, rounded to a whole point						−80

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −78, −79, −70, −69, −83, −111, −109, −115, −101, −80 → −89.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 9 · 2017→2018: 1 · 2018→2019: 14 · 2019→2021: 28 · 2021→2022: 2 · 2022→2023: 6 · 2023→2024: 14 · 2024→2025: 21 → average 10.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.7 × 2.66 = 28.5. Upper limit −61, lower limit −118.

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.