John Muir 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.

All students

3rd The average 3rd grader scores 101 points under the grade 3 bar. 2335 vs. 2436.
4th The average 4th grader scores 53 points under the grade 3 bar. 2383 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 25 points under the grade 4 bar. 2460 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 4 bar. 2485 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 70 students 89 points under the grade 3 bar. 4th 65 students 44 points under the grade 3 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 17 students 153 points under the grade 3 bar. 4th 14 students 93 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	44,410	2393.7	− 2436	−42.3	× 89 / 253	−14.9
4	44,411	2417.7	− 2485	−67.3	× 81 / 253	−21.5
5	44,414	2455.4	− 2528	−72.6	× 83 / 253	−23.8
Sum, rounded to a whole point						−60

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,133	2392.4	− 2436	−43.6	× 88 / 315	−12.2
4	41,135	2446.4	− 2485	−38.6	× 83 / 315	−10.2
5	41,138	2414.7	− 2528	−113.3	× 76 / 315	−27.3
6	41,140	2437.4	− 2552	−114.6	× 68 / 315	−24.7
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
3	42,157	2410.0	− 2436	−26	× 82 / 340	−6.3
4	42,159	2422.4	− 2485	−62.6	× 91 / 340	−16.8
5	42,161	2453.3	− 2528	−74.7	× 89 / 340	−19.6
6	42,163	2428.4	− 2552	−123.6	× 78 / 340	−28.4
Sum, rounded to a whole point						−71

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,170	2395.7	− 2436	−40.3	× 77 / 338	−9.2
4	42,171	2432.4	− 2485	−52.6	× 81 / 338	−12.6
5	42,174	2459.2	− 2528	−68.8	× 93 / 338	−18.9
6	42,175	2464.0	− 2552	−88	× 87 / 338	−22.7
Sum, rounded to a whole point						−63

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,312	2401.3	− 2436	−34.7	× 83 / 332	−8.7
4	42,313	2438.3	− 2485	−46.7	× 76 / 332	−10.7
5	42,314	2456.4	− 2528	−71.6	× 85 / 332	−18.3
6	42,315	2454.3	− 2552	−97.7	× 88 / 332	−25.9
Sum, rounded to a whole point						−64

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,073	2354.0	− 2436	−82	× 89 / 314	−23.2
4	42,074	2401.1	− 2485	−83.9	× 76 / 314	−20.3
5	42,075	2418.7	− 2528	−109.3	× 86 / 314	−29.9
6	42,076	2465.8	− 2552	−86.2	× 63 / 314	−17.3
Sum, rounded to a whole point						−91

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,098	2349.1	− 2436	−86.9	× 80 / 320	−21.7
4	42,099	2408.7	− 2485	−76.3	× 77 / 320	−18.4
5	42,100	2447.8	− 2528	−80.2	× 76 / 320	−19
6	42,101	2457.3	− 2552	−94.7	× 87 / 320	−25.7
Sum, rounded to a whole point						−85

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,929	2372.5	− 2436	−63.5	× 84 / 323	−16.5
4	41,930	2383.2	− 2485	−101.8	× 77 / 323	−24.3
5	41,931	2464.1	− 2528	−63.9	× 77 / 323	−15.2
6	41,932	2483.6	− 2552	−68.4	× 85 / 323	−18
Sum, rounded to a whole point						−74

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,692	2369.9	− 2436	−66.1	× 84 / 333	−16.7
4	41,693	2403.3	− 2485	−81.7	× 84 / 333	−20.6
5	41,694	2445.2	− 2528	−82.8	× 78 / 333	−19.4
6	41,695	2471.9	− 2552	−80.1	× 87 / 333	−20.9
Sum, rounded to a whole point						−78

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,594	2334.8	− 2436	−101.2	× 87 / 326	−27
4	41,595	2383.3	− 2485	−101.7	× 79 / 326	−24.6
5	41,596	2459.9	− 2528	−68.1	× 75 / 326	−15.7
6	41,597	2484.6	− 2552	−67.4	× 85 / 326	−17.6
Sum, rounded to a whole point						−85

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −60, −74, −71, −63, −64, −91, −85, −74, −78, −85 → −74.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 3 · 2017→2018: 8 · 2018→2019: 1 · 2019→2022: 27 · 2022→2023: 6 · 2023→2024: 11 · 2024→2025: 4 · 2025→2026: 7 → average 9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9 × 2.66 = 23.9. Upper limit −50.6, lower limit −98.4.

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.