Liberty Elementary: math

The shaded band is this district'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	100,622	2395.8	− 2436	−40.2	× 53 / 235	−9.1
4	100,623	2440.8	− 2485	−44.2	× 40 / 235	−7.5
5	100,626	2425.0	− 2528	−103	× 39 / 235	−17.1
6	100,627	2492.0	− 2552	−60	× 39 / 235	−10
7	100,630	2487.3	− 2567	−79.7	× 26 / 235	−8.8
8	100,631	2527.7	− 2586	−58.3	× 38 / 235	−9.4
Sum, rounded to a whole point						−62

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,330	2419.4	− 2436	−16.6	× 54 / 256	−3.5
4	93,332	2453.6	− 2485	−31.4	× 56 / 256	−6.9
5	93,335	2464.8	− 2528	−63.2	× 40 / 256	−9.9
6	93,336	2415.8	− 2552	−136.2	× 39 / 256	−20.7
7	93,339	2500.8	− 2567	−66.2	× 37 / 256	−9.6
8	93,340	2537.5	− 2586	−48.5	× 30 / 256	−5.7
Sum, rounded to a whole point						−56

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,093	2449.1	− 2436	13.1	× 44 / 282	2
4	96,094	2469.1	− 2485	−15.9	× 58 / 282	−3.3
5	96,097	2504.0	− 2528	−24	× 66 / 282	−5.6
6	96,099	2491.7	− 2552	−60.3	× 42 / 282	−9
7	96,101	2470.0	− 2567	−97	× 33 / 282	−11.4
8	96,102	2511.0	− 2586	−75	× 39 / 282	−10.4
Sum, rounded to a whole point						−38

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,281	2430.8	− 2436	−5.2	× 78 / 326	−1.2
4	96,282	2475.2	− 2485	−9.8	× 51 / 326	−1.5
5	96,285	2505.9	− 2528	−22.1	× 54 / 326	−3.7
6	96,286	2493.6	− 2552	−58.4	× 74 / 326	−13.3
7	96,289	2491.4	− 2567	−75.6	× 40 / 326	−9.3
8	96,290	2496.1	− 2586	−89.9	× 29 / 326	−8
Sum, rounded to a whole point						−37

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,950	2451.8	− 2436	15.8	× 77 / 356	3.4
4	96,951	2481.3	− 2485	−3.7	× 76 / 356	−0.8
5	96,952	2507.5	− 2528	−20.5	× 50 / 356	−2.9
6	96,953	2519.8	− 2552	−32.2	× 58 / 356	−5.2
7	96,954	2505.3	− 2567	−61.7	× 56 / 356	−9.7
8	96,955	2525.5	− 2586	−60.5	× 39 / 356	−6.6
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,136	2430.9	− 2436	−5.1	× 85 / 440	−1
4	97,137	2465.9	− 2485	−19.1	× 96 / 440	−4.2
5	97,138	2477.3	− 2528	−50.7	× 71 / 440	−8.2
6	97,139	2468.6	− 2552	−83.4	× 86 / 440	−16.3
7	97,140	2515.2	− 2567	−51.8	× 58 / 440	−6.8
8	97,141	2568.2	− 2586	−17.8	× 44 / 440	−1.8
Sum, rounded to a whole point						−38

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,987	2431.6	− 2436	−4.4	× 88 / 492	−0.8
4	96,988	2469.3	− 2485	−15.7	× 94 / 492	−3
5	96,989	2456.9	− 2528	−71.1	× 95 / 492	−13.7
6	96,990	2485.9	− 2552	−66.1	× 74 / 492	−9.9
7	96,991	2499.5	− 2567	−67.5	× 85 / 492	−11.7
8	96,992	2502.5	− 2586	−83.5	× 56 / 492	−9.5
Sum, rounded to a whole point						−49

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,874	2443.6	− 2436	7.6	× 89 / 520	1.3
4	96,875	2471.9	− 2485	−13.1	× 86 / 520	−2.2
5	96,876	2488.8	− 2528	−39.2	× 85 / 520	−6.4
6	96,877	2494.3	− 2552	−57.7	× 99 / 520	−11
7	96,878	2508.6	− 2567	−58.4	× 77 / 520	−8.6
8	96,879	2532.6	− 2586	−53.4	× 84 / 520	−8.6
Sum, rounded to a whole point						−36

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,591	2438.9	− 2436	2.9	× 84 / 507	0.5
4	96,592	2477.2	− 2485	−7.8	× 86 / 507	−1.3
5	96,593	2486.0	− 2528	−42	× 87 / 507	−7.2
6	96,594	2506.5	− 2552	−45.5	× 84 / 507	−7.5
7	96,595	2508.3	− 2567	−58.7	× 90 / 507	−10.4
8	96,596	2544.2	− 2586	−41.8	× 76 / 507	−6.3
Sum, rounded to a whole point						−32

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,219	2424.1	− 2436	−11.9	× 86 / 509	−2
4	96,220	2469.5	− 2485	−15.5	× 88 / 509	−2.7
5	96,221	2477.6	− 2528	−50.4	× 90 / 509	−8.9
6	96,222	2496.8	− 2552	−55.2	× 84 / 509	−9.1
7	96,223	2537.1	− 2567	−29.9	× 79 / 509	−4.6
8	96,224	2553.8	− 2586	−32.2	× 82 / 509	−5.2
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −62, −56, −38, −37, −22, −38, −49, −36, −32, −33 → −40.3
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: 1 · 2018→2019: 15 · 2019→2022: 16 · 2022→2023: 11 · 2023→2024: 13 · 2024→2025: 4 · 2025→2026: 1 → 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 −15.3, lower limit −65.3.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Liberty Elementary

K–8 schools

Liberty Elementary