Bangor Union 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

3rd The average 3rd grader scores 16 points under the grade 3 bar. 2420 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2435 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 27 points under the grade 5 bar. 2501 vs. 2528.
6th The average 6th grader scores 10 points under the grade 6 bar. 2542 vs. 2552.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	4,305	2398.6	− 2436	−37.4	× 13 / 70	−6.9
4	4,306	2464.5	− 2485	−20.5	× 20 / 70	−5.9
5	4,309	2456.8	− 2528	−71.2	× 13 / 70	−13.2
6	4,310	2452.2	− 2552	−99.8	× 13 / 70	−18.5
7	4,313	2513.0	− 2567	−54	× 11 / 70	−8.5
Sum, rounded to a whole point						−53

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	3,813	2462.7	− 2485	−22.3	× 15 / 62	−5.4
5	3,815	2424.9	− 2528	−103.1	× 19 / 62	−31.6
6	3,817	2468.3	− 2552	−83.7	× 14 / 62	−18.9
7	3,819	2485.4	− 2567	−81.6	× 14 / 62	−18.4
Sum, rounded to a whole point						−74

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	3,905	2434.6	− 2552	−117.4	× 14 / 14	−117.4
Sum, rounded to a whole point						−117

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,947	2399.2	− 2436	−36.8	× 18 / 70	−9.5
4	3,948	2457.4	− 2485	−27.6	× 14 / 70	−5.5
5	3,949	2479.2	− 2528	−48.8	× 13 / 70	−9.1
7	3,951	2509.4	− 2567	−57.6	× 12 / 70	−9.9
8	3,952	2400.2	− 2586	−185.8	× 13 / 70	−34.5
Sum, rounded to a whole point						−68

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	3,800	2413.6	− 2485	−71.4	× 11 / 49	−16
5	3,801	2426.1	− 2528	−101.9	× 16 / 49	−33.3
6	3,802	2515.4	− 2552	−36.6	× 11 / 49	−8.2
7	3,803	2453.8	− 2567	−113.2	× 11 / 49	−25.4
Sum, rounded to a whole point						−83

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	3,845	2427.0	− 2528	−101	× 11 / 24	−46.3
6	3,846	2506.2	− 2552	−45.8	× 13 / 24	−24.8
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
7	3,830	2461.5	− 2567	−105.5	× 11 / 11	−105.5
Sum, rounded to a whole point						−106

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	3,798	2515.5	− 2586	−70.5	× 12 / 12	−70.5
Sum, rounded to a whole point						−71

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,749	2378.5	− 2436	−57.5	× 13 / 13	−57.5
Sum, rounded to a whole point						−58

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	3,733	2420.3	− 2436	−15.7	× 11 / 50	−3.5
4	3,734	2435.3	− 2485	−49.7	× 15 / 50	−14.9
5	3,735	2501.0	− 2528	−27	× 11 / 50	−5.9
6	3,736	2541.9	− 2552	−10.1	× 13 / 50	−2.6
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −53, −74, −117, −68, −83, −71, −106, −71, −58, −27 → −72.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 43 · 2017→2019: 49 · 2019→2021: 15 · 2021→2022: 12 · 2022→2023: 35 · 2023→2024: 35 · 2024→2025: 13 · 2025→2026: 31 → average 28.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 28.2 × 2.66 = 75. Upper limit 2.2, lower limit −147.8.

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.