Liberty Elementary: english

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.

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	12,586	2405.8	− 2432	−26.2	× 105 / 380	−7.2
4	12,588	2447.6	− 2473	−25.4	× 85 / 380	−5.7
5	12,590	2468.3	− 2502	−33.7	× 91 / 380	−8.1
6	12,592	2506.2	− 2531	−24.8	× 99 / 380	−6.5
Sum, rounded to a whole point						−27

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,606	2423.2	− 2432	−8.8	× 82 / 369	−2
4	11,608	2466.9	− 2473	−6.1	× 105 / 369	−1.7
5	11,611	2496.0	− 2502	−6	× 96 / 369	−1.6
6	11,613	2543.1	− 2531	12.1	× 86 / 369	2.8
Sum, rounded to a whole point						−2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,938	2426.9	− 2432	−5.1	× 98 / 385	−1.3
4	11,940	2473.9	− 2473	0.9	× 83 / 385	0.2
5	11,942	2480.3	− 2502	−21.7	× 107 / 385	−6
6	11,944	2548.2	− 2531	17.2	× 97 / 385	4.3
Sum, rounded to a whole point						−3

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,975	2425.8	− 2432	−6.2	× 78 / 373	−1.3
4	11,977	2460.4	− 2473	−12.6	× 103 / 373	−3.5
5	11,979	2488.4	− 2502	−13.6	× 81 / 373	−3
6	11,981	2542.7	− 2531	11.7	× 111 / 373	3.5
Sum, rounded to a whole point						−4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,062	2437.7	− 2432	5.7	× 87 / 368	1.3
4	12,063	2460.9	− 2473	−12.1	× 89 / 368	−2.9
5	12,064	2492.5	− 2502	−9.5	× 106 / 368	−2.7
6	12,065	2536.1	− 2531	5.1	× 86 / 368	1.2
Sum, rounded to a whole point						−3

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,892	2391.7	− 2432	−40.3	× 75 / 331	−9.1
4	11,893	2426.4	− 2473	−46.6	× 80 / 331	−11.3
5	11,894	2480.7	− 2502	−21.3	× 87 / 331	−5.6
6	11,895	2523.5	− 2531	−7.5	× 89 / 331	−2
Sum, rounded to a whole point						−28

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,069	2425.5	− 2432	−6.5	× 80 / 336	−1.5
4	12,070	2440.4	− 2473	−32.6	× 80 / 336	−7.8
5	12,071	2470.7	− 2502	−31.3	× 85 / 336	−7.9
6	12,072	2527.4	− 2531	−3.6	× 91 / 336	−1
Sum, rounded to a whole point						−18

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,052	2432.4	− 2432	0.4	× 91 / 351	0.1
4	12,053	2457.3	− 2473	−15.7	× 90 / 351	−4
5	12,054	2455.8	− 2502	−46.2	× 85 / 351	−11.2
6	12,055	2535.8	− 2531	4.8	× 85 / 351	1.2
Sum, rounded to a whole point						−14

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,013	2415.4	− 2432	−16.6	× 100 / 361	−4.6
4	12,014	2478.2	− 2473	5.2	× 86 / 361	1.2
5	12,015	2481.0	− 2502	−21	× 92 / 361	−5.4
6	12,016	2526.0	− 2531	−5	× 83 / 361	−1.1
Sum, rounded to a whole point						−10

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,966	2455.6	− 2432	23.6	× 68 / 336	4.8
4	11,967	2441.3	− 2473	−31.7	× 87 / 336	−8.2
5	11,968	2496.5	− 2502	−5.5	× 89 / 336	−1.5
6	11,969	2548.0	− 2531	17	× 92 / 336	4.7
Sum, rounded to a whole point						0

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −27, −2, −3, −4, −3, −28, −18, −14, −10, 0 → −10.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 25 · 2016→2017: 1 · 2017→2018: 1 · 2018→2019: 1 · 2019→2021: 25 · 2021→2022: 10 · 2022→2023: 4 · 2023→2024: 4 · 2024→2025: 10 → 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 13, lower limit −34.8.

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.