Railway 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, 140 of the 367 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 72 points under the grade 3 bar. 2364 vs. 2436.
4th The average 4th grader scores 24 points under the grade 3 bar. 2412 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 33 points under the grade 4 bar. 2452 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 28 points under the grade 4 bar. 2457 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 57 students 51 points under the grade 3 bar. 4th 59 students Just under the grade 3 bar. 5th 54 students 22 points under the grade 4 bar. 6th 57 students 35 points under the grade 5 bar.

English learners

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

Grade bars 3rd 44 students 98 points under the grade 3 bar. 4th 38 students 56 points under the grade 3 bar. 5th 28 students Just under the grade 3 bar. 6th 30 students 48 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	57,827	2408.8	− 2436	−27.2	× 127 / 491	−7
4	57,829	2453.7	− 2485	−31.3	× 128 / 491	−8.2
5	57,831	2468.0	− 2528	−60	× 121 / 491	−14.8
6	57,833	2488.9	− 2552	−63.1	× 115 / 491	−14.8
Sum, rounded to a whole point						−45

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,681	2429.2	− 2436	−6.8	× 117 / 491	−1.6
4	53,684	2444.4	− 2485	−40.6	× 131 / 491	−10.8
5	53,685	2479.1	− 2528	−48.9	× 127 / 491	−12.6
6	53,687	2497.3	− 2552	−54.7	× 116 / 491	−12.9
Sum, rounded to a whole point						−38

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,239	2436.8	− 2436	0.8	× 121 / 486	0.2
4	55,241	2453.2	− 2485	−31.8	× 114 / 486	−7.5
5	55,243	2496.0	− 2528	−32	× 124 / 486	−8.2
6	55,244	2501.2	− 2552	−50.8	× 127 / 486	−13.3
Sum, rounded to a whole point						−29

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,333	2440.9	− 2436	4.9	× 115 / 470	1.2
4	55,335	2454.4	− 2485	−30.6	× 125 / 470	−8.1
5	55,337	2478.0	− 2528	−50	× 115 / 470	−12.2
6	55,339	2511.8	− 2552	−40.2	× 115 / 470	−9.8
Sum, rounded to a whole point						−29

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,593	2430.8	− 2436	−5.2	× 122 / 473	−1.3
4	55,594	2464.9	− 2485	−20.1	× 121 / 473	−5.1
5	55,595	2495.4	− 2528	−32.6	× 114 / 473	−7.9
6	55,596	2499.3	− 2552	−52.7	× 116 / 473	−12.9
Sum, rounded to a whole point						−27

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,647	2365.9	− 2436	−70.1	× 102 / 422	−16.9
4	55,648	2420.0	− 2485	−65	× 117 / 422	−18
5	55,649	2453.7	− 2528	−74.3	× 99 / 422	−17.4
6	55,650	2451.6	− 2552	−100.4	× 104 / 422	−24.7
Sum, rounded to a whole point						−77

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,596	2364.3	− 2436	−71.7	× 119 / 430	−19.8
4	55,597	2416.0	− 2485	−69	× 114 / 430	−18.3
5	55,598	2459.8	− 2528	−68.2	× 107 / 430	−17
6	55,599	2455.4	− 2552	−96.6	× 90 / 430	−20.2
Sum, rounded to a whole point						−75

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,472	2365.3	− 2436	−70.7	× 105 / 437	−17
4	55,473	2415.3	− 2485	−69.7	× 112 / 437	−17.9
5	55,474	2445.9	− 2528	−82.1	× 114 / 437	−21.4
6	55,475	2438.8	− 2552	−113.2	× 106 / 437	−27.5
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,224	2363.6	− 2436	−72.4	× 114 / 417	−19.8
4	55,225	2415.0	− 2485	−70	× 92 / 417	−15.4
5	55,226	2439.4	− 2528	−88.6	× 103 / 417	−21.9
6	55,227	2450.5	− 2552	−101.5	× 108 / 417	−26.3
Sum, rounded to a whole point						−83

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,139	2364.3	− 2436	−71.7	× 101 / 367	−19.7
4	55,140	2412.1	− 2485	−72.9	× 97 / 367	−19.3
5	55,141	2451.6	− 2528	−76.4	× 82 / 367	−17.1
6	55,142	2456.7	− 2552	−95.3	× 87 / 367	−22.6
Sum, rounded to a whole point						−79

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −45, −38, −29, −29, −27, −77, −75, −84, −83, −79 → −56.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 9 · 2017→2018: 0 · 2018→2019: 2 · 2019→2022: 50 · 2022→2023: 2 · 2023→2024: 9 · 2024→2025: 1 · 2025→2026: 4 → average 9.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.3 × 2.66 = 24.7. Upper limit −31.9, lower limit −81.3.

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.