Magnolia 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	20,956	2388.6	− 2436	−47.4	× 50 / 128	−18.5
4	20,957	2438.5	− 2485	−46.5	× 35 / 128	−12.7
5	20,960	2444.5	− 2528	−83.5	× 43 / 128	−28.1
Sum, rounded to a whole point						−59

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,898	2396.1	− 2436	−39.9	× 43 / 121	−14.2
4	19,901	2410.4	− 2485	−74.6	× 44 / 121	−27.1
5	19,902	2454.5	− 2528	−73.5	× 34 / 121	−20.7
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,211	2391.8	− 2436	−44.2	× 64 / 145	−19.5
4	20,213	2463.4	− 2485	−21.6	× 37 / 145	−5.5
5	20,215	2455.5	− 2528	−72.5	× 44 / 145	−22
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,212	2416.9	− 2436	−19.1	× 41 / 126	−6.2
4	20,214	2441.7	− 2485	−43.3	× 50 / 126	−17.2
5	20,216	2469.6	− 2528	−58.4	× 35 / 126	−16.2
Sum, rounded to a whole point						−40

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,389	2412.4	− 2436	−23.6	× 56 / 156	−8.5
4	20,390	2423.0	− 2485	−62	× 44 / 156	−17.5
5	20,391	2428.4	− 2528	−99.6	× 56 / 156	−35.8
Sum, rounded to a whole point						−62

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,417	2405.0	− 2436	−31	× 48 / 212	−7
4	20,418	2433.4	− 2485	−51.6	× 41 / 212	−10
5	20,419	2428.3	− 2528	−99.7	× 58 / 212	−27.3
6	20,420	2465.1	− 2552	−86.9	× 65 / 212	−26.6
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	20,388	2394.3	− 2436	−41.7	× 65 / 210	−12.9
4	20,389	2430.9	− 2485	−54.1	× 49 / 210	−12.6
5	20,390	2444.6	− 2528	−83.4	× 41 / 210	−16.3
6	20,391	2464.2	− 2552	−87.8	× 55 / 210	−23
Sum, rounded to a whole point						−65

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,293	2414.0	− 2436	−22	× 64 / 188	−7.5
4	20,294	2440.5	− 2485	−44.5	× 63 / 188	−14.9
5	20,295	2462.0	− 2528	−66	× 61 / 188	−21.4
Sum, rounded to a whole point						−44

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,228	2402.8	− 2436	−33.2	× 54 / 170	−10.5
4	20,229	2442.6	− 2485	−42.4	× 54 / 170	−13.5
5	20,230	2438.8	− 2528	−89.2	× 62 / 170	−32.5
Sum, rounded to a whole point						−57

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −59, −62, −47, −40, −62, −71, −65, −44, −57 → −56.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 15 · 2017→2018: 7 · 2018→2019: 22 · 2019→2022: 9 · 2022→2023: 6 · 2023→2024: 21 · 2024→2025: 13 → average 12
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12 × 2.66 = 31.9. Upper limit −24.4, lower limit −88.2.

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.