Loren Miller 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 99 of the 307 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 32 points under the grade 3 bar. 2404 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2431 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 44 points under the grade 4 bar. 2441 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 30 points under the grade 4 bar. 2455 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 59 students Just under the grade 3 bar. 4th 53 students 25 points under the grade 4 bar. 5th 49 students 21 points under the grade 4 bar. 6th 47 students Just under the grade 4 bar.

English learners

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

Grade bars 3rd 28 students 88 points under the grade 3 bar. 4th 25 students 67 points under the grade 3 bar. 5th 22 students 46 points under the grade 3 bar. 6th 24 students 32 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	33,416	2373.9	− 2436	−62.1	× 120 / 439	−17
4	33,417	2386.8	− 2485	−98.2	× 118 / 439	−26.4
5	33,420	2385.3	− 2528	−142.7	× 104 / 439	−33.8
6	33,421	2428.7	− 2552	−123.3	× 97 / 439	−27.2
Sum, rounded to a whole point						−104

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,604	2380.3	− 2436	−55.7	× 106 / 419	−14.1
4	31,606	2388.4	− 2485	−96.6	× 105 / 419	−24.2
5	31,607	2391.8	− 2528	−136.2	× 112 / 419	−36.4
6	31,610	2398.9	− 2552	−153.1	× 96 / 419	−35.1
Sum, rounded to a whole point						−110

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,156	2396.9	− 2436	−39.1	× 108 / 415	−10.2
4	32,158	2397.0	− 2485	−88	× 109 / 415	−23.1
5	32,160	2410.9	− 2528	−117.1	× 96 / 415	−27.1
6	32,162	2424.2	− 2552	−127.8	× 102 / 415	−31.4
Sum, rounded to a whole point						−92

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,184	2395.8	− 2436	−40.2	× 103 / 397	−10.4
4	32,186	2446.3	− 2485	−38.7	× 98 / 397	−9.6
5	32,188	2414.3	− 2528	−113.7	× 96 / 397	−27.5
6	32,190	2446.8	− 2552	−105.2	× 100 / 397	−26.5
Sum, rounded to a whole point						−74

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,366	2422.6	− 2436	−13.4	× 108 / 381	−3.8
4	32,367	2401.1	− 2485	−83.9	× 100 / 381	−22
5	32,368	2424.5	− 2528	−103.5	× 91 / 381	−24.7
6	32,369	2457.5	− 2552	−94.5	× 82 / 381	−20.3
Sum, rounded to a whole point						−71

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,395	2360.6	− 2436	−75.4	× 88 / 337	−19.7
4	32,396	2395.5	− 2485	−89.5	× 92 / 337	−24.4
5	32,397	2442.8	− 2528	−85.2	× 86 / 337	−21.7
6	32,398	2479.4	− 2552	−72.6	× 71 / 337	−15.3
Sum, rounded to a whole point						−81

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,452	2380.9	− 2436	−55.1	× 88 / 342	−14.2
4	32,453	2379.8	− 2485	−105.2	× 86 / 342	−26.5
5	32,454	2414.8	− 2528	−113.2	× 82 / 342	−27.1
6	32,455	2469.6	− 2552	−82.4	× 86 / 342	−20.7
Sum, rounded to a whole point						−88

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,318	2412.6	− 2436	−23.4	× 83 / 337	−5.8
4	32,319	2423.1	− 2485	−61.9	× 82 / 337	−15.1
5	32,320	2411.2	− 2528	−116.8	× 85 / 337	−29.5
6	32,321	2440.9	− 2552	−111.1	× 87 / 337	−28.7
Sum, rounded to a whole point						−79

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,177	2410.7	− 2436	−25.3	× 87 / 320	−6.9
4	32,178	2424.0	− 2485	−61	× 80 / 320	−15.3
5	32,179	2428.3	− 2528	−99.7	× 83 / 320	−25.9
6	32,180	2433.2	− 2552	−118.8	× 70 / 320	−26
Sum, rounded to a whole point						−74

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,167	2403.7	− 2436	−32.3	× 87 / 307	−9.2
4	32,168	2431.3	− 2485	−53.7	× 78 / 307	−13.6
5	32,169	2441.0	− 2528	−87	× 71 / 307	−20.1
6	32,170	2455.1	− 2552	−96.9	× 71 / 307	−22.4
Sum, rounded to a whole point						−65

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −104, −110, −92, −74, −71, −81, −88, −79, −74, −65 → −83.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 18 · 2017→2018: 18 · 2018→2019: 3 · 2019→2022: 10 · 2022→2023: 7 · 2023→2024: 9 · 2024→2025: 5 · 2025→2026: 9 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit −58.8, lower limit −108.8.

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.