Liberty 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, 109 of the 342 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 41 points under the grade 3 bar. 2396 vs. 2436.
4th The average 4th grader scores 44 points under the grade 4 bar. 2442 vs. 2485.
5th The average 5th grader scores 16 points under the grade 3 bar. 2420 vs. 2436. 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 61 students 24 points under the grade 3 bar. 4th 63 students 35 points under the grade 4 bar. 5th 45 students Just under the grade 3 bar. 6th 64 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 77 points under the grade 3 bar. 4th 33 students 11 points under the grade 3 bar. 5th 26 students 30 points under the grade 3 bar. 6th 22 students 59 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	58,251	2382.3	− 2436	−53.7	× 140 / 462	−16.3
4	58,252	2420.1	− 2485	−64.9	× 102 / 462	−14.3
5	58,255	2447.8	− 2528	−80.2	× 112 / 462	−19.4
6	58,256	2466.4	− 2552	−85.6	× 108 / 462	−20
Sum, rounded to a whole point						−70

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,073	2403.1	− 2436	−32.9	× 118 / 466	−8.3
4	54,075	2427.5	− 2485	−57.5	× 134 / 466	−16.5
5	54,077	2434.2	− 2528	−93.8	× 104 / 466	−20.9
6	54,080	2466.4	− 2552	−85.6	× 110 / 466	−20.2
Sum, rounded to a whole point						−66

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,652	2385.8	− 2436	−50.2	× 117 / 470	−12.5
4	55,655	2423.4	− 2485	−61.6	× 121 / 470	−15.9
5	55,657	2444.6	− 2528	−83.4	× 128 / 470	−22.7
6	55,658	2469.2	− 2552	−82.8	× 104 / 470	−18.3
Sum, rounded to a whole point						−69

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,749	2405.2	− 2436	−30.8	× 81 / 442	−5.6
4	55,751	2419.1	− 2485	−65.9	× 109 / 442	−16.3
5	55,753	2444.8	− 2528	−83.2	× 121 / 442	−22.8
6	55,755	2480.4	− 2552	−71.6	× 131 / 442	−21.2
Sum, rounded to a whole point						−66

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,009	2410.7	− 2436	−25.3	× 102 / 422	−6.1
4	56,010	2429.7	− 2485	−55.3	× 86 / 422	−11.3
5	56,011	2451.9	− 2528	−76.1	× 111 / 422	−20
6	56,012	2469.4	− 2552	−82.6	× 123 / 422	−24.1
Sum, rounded to a whole point						−61

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,073	2395.7	− 2436	−40.3	× 85 / 363	−9.4
4	56,074	2413.2	− 2485	−71.8	× 99 / 363	−19.6
5	56,075	2403.7	− 2528	−124.3	× 86 / 363	−29.4
6	56,076	2465.7	− 2552	−86.3	× 93 / 363	−22.1
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	56,022	2396.6	− 2436	−39.4	× 92 / 363	−10
4	56,023	2423.9	− 2485	−61.1	× 90 / 363	−15.1
5	56,024	2439.3	− 2528	−88.7	× 93 / 363	−22.7
6	56,025	2442.2	− 2552	−109.8	× 88 / 363	−26.6
Sum, rounded to a whole point						−74

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,898	2363.3	− 2436	−72.7	× 68 / 341	−14.5
4	55,899	2415.5	− 2485	−69.5	× 93 / 341	−19
5	55,900	2418.9	− 2528	−109.1	× 92 / 341	−29.4
6	55,901	2460.2	− 2552	−91.8	× 88 / 341	−23.7
Sum, rounded to a whole point						−87

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,662	2392.3	− 2436	−43.7	× 103 / 364	−12.4
4	55,663	2433.1	− 2485	−51.9	× 74 / 364	−10.6
5	55,664	2422.5	− 2528	−105.5	× 91 / 364	−26.4
6	55,665	2428.9	− 2552	−123.1	× 96 / 364	−32.5
Sum, rounded to a whole point						−82

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,585	2395.5	− 2436	−40.5	× 89 / 342	−10.5
4	55,586	2441.5	− 2485	−43.5	× 96 / 342	−12.2
5	55,587	2419.8	− 2528	−108.2	× 71 / 342	−22.5
6	55,588	2456.9	− 2552	−95.1	× 86 / 342	−23.9
Sum, rounded to a whole point						−69

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −70, −66, −69, −66, −61, −81, −74, −87, −82, −69 → −72.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 3 · 2017→2018: 3 · 2018→2019: 5 · 2019→2022: 20 · 2022→2023: 7 · 2023→2024: 13 · 2024→2025: 5 · 2025→2026: 13 → average 8.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.1 × 2.66 = 21.5. Upper limit −51, lower limit −94.

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.