Cedarwood 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	5,084	2375.8	− 2436	−60.2	× 51 / 127	−24.2
4	5,087	2409.7	− 2485	−75.3	× 47 / 127	−27.9
5	5,088	2443.9	− 2528	−84.1	× 29 / 127	−19.2
Sum, rounded to a whole point						−71

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,569	2415.9	− 2436	−20.1	× 47 / 125	−7.6
4	4,570	2382.9	− 2485	−102.1	× 40 / 125	−32.7
5	4,572	2413.0	− 2528	−115	× 38 / 125	−35
Sum, rounded to a whole point						−75

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,661	2444.9	− 2436	8.9	× 33 / 109	2.7
4	4,662	2426.9	− 2485	−58.1	× 43 / 109	−22.9
5	4,664	2393.4	− 2528	−134.6	× 33 / 109	−40.8
Sum, rounded to a whole point						−61

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,649	2439.7	− 2436	3.7	× 46 / 124	1.4
4	4,650	2452.0	− 2485	−33	× 37 / 124	−9.8
5	4,653	2507.8	− 2528	−20.2	× 41 / 124	−6.7
Sum, rounded to a whole point						−15

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,552	2384.6	− 2436	−51.4	× 32 / 122	−13.5
4	4,553	2425.6	− 2485	−59.4	× 34 / 122	−16.6
5	4,554	2446.7	− 2528	−81.3	× 33 / 122	−22
6	4,555	2452.5	− 2552	−99.5	× 23 / 122	−18.8
Sum, rounded to a whole point						−71

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,540	2384.9	− 2436	−51.1	× 35 / 127	−14.1
4	4,541	2431.5	− 2485	−53.5	× 35 / 127	−14.7
5	4,542	2483.1	− 2528	−44.9	× 32 / 127	−11.3
6	4,543	2439.9	− 2552	−112.1	× 25 / 127	−22.1
Sum, rounded to a whole point						−62

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,499	2398.6	− 2436	−37.4	× 37 / 136	−10.2
4	4,500	2398.8	− 2485	−86.2	× 39 / 136	−24.7
5	4,501	2448.8	− 2528	−79.2	× 34 / 136	−19.8
6	4,502	2454.8	− 2552	−97.2	× 26 / 136	−18.6
Sum, rounded to a whole point						−73

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,453	2406.3	− 2436	−29.7	× 37 / 141	−7.8
4	4,454	2445.9	− 2485	−39.1	× 33 / 141	−9.2
5	4,455	2410.1	− 2528	−117.9	× 37 / 141	−30.9
6	4,456	2468.1	− 2552	−83.9	× 34 / 141	−20.2
Sum, rounded to a whole point						−68

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −71, −75, −61, −15, −71, −62, −73, −68 → −62
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 14 · 2017→2018: 46 · 2018→2022: 56 · 2022→2023: 9 · 2023→2024: 11 · 2024→2025: 5 → average 20.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 20.7 × 2.66 = 55.1. Upper limit −6.9, lower limit −117.1.

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.