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	68,605	2349.0	− 2432	−83	× 127 / 493	−21.4
4	68,607	2416.9	− 2473	−56.1	× 131 / 493	−14.9
5	68,609	2434.3	− 2502	−67.7	× 114 / 493	−15.7
6	68,611	2495.0	− 2531	−36	× 121 / 493	−8.8
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,551	2374.2	− 2432	−57.8	× 125 / 483	−15
4	63,554	2394.8	− 2473	−78.2	× 123 / 483	−19.9
5	63,555	2464.6	− 2502	−37.4	× 120 / 483	−9.3
6	63,557	2507.8	− 2531	−23.2	× 115 / 483	−5.5
Sum, rounded to a whole point						−50

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,349	2336.8	− 2432	−95.2	× 145 / 571	−24.2
4	65,351	2401.9	− 2473	−71.1	× 137 / 571	−17.1
5	65,353	2419.4	− 2502	−82.6	× 141 / 571	−20.4
6	65,355	2482.2	− 2531	−48.8	× 148 / 571	−12.6
Sum, rounded to a whole point						−74

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,433	2383.2	− 2432	−48.8	× 158 / 594	−13
4	65,435	2395.8	− 2473	−77.2	× 141 / 594	−18.3
5	65,437	2429.1	− 2502	−72.9	× 140 / 594	−17.2
6	65,439	2479.4	− 2531	−51.6	× 155 / 594	−13.5
Sum, rounded to a whole point						−62

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,818	2373.8	− 2432	−58.2	× 159 / 593	−15.6
4	65,819	2409.1	− 2473	−63.9	× 158 / 593	−17
5	65,820	2414.8	− 2502	−87.2	× 135 / 593	−19.9
6	65,821	2484.5	− 2531	−46.5	× 141 / 593	−11.1
Sum, rounded to a whole point						−64

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,879	2369.4	− 2432	−62.6	× 116 / 475	−15.3
4	65,880	2410.3	− 2473	−62.7	× 114 / 475	−15
5	65,881	2409.2	− 2502	−92.8	× 124 / 475	−24.2
6	65,882	2440.1	− 2531	−90.9	× 121 / 475	−23.2
Sum, rounded to a whole point						−78

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,886	2389.9	− 2432	−42.1	× 153 / 499	−12.9
4	65,887	2395.3	− 2473	−77.7	× 113 / 499	−17.6
5	65,888	2381.8	− 2502	−120.2	× 115 / 499	−27.7
6	65,889	2461.9	− 2531	−69.1	× 118 / 499	−16.3
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	65,854	2381.6	− 2432	−50.4	× 158 / 543	−14.7
4	65,855	2389.1	− 2473	−83.9	× 144 / 543	−22.2
5	65,856	2423.1	− 2502	−78.9	× 121 / 543	−17.6
6	65,857	2459.8	− 2531	−71.2	× 120 / 543	−15.7
Sum, rounded to a whole point						−70

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,614	2393.4	− 2432	−38.6	× 123 / 558	−8.5
4	65,615	2388.9	− 2473	−84.1	× 159 / 558	−24
5	65,616	2450.3	− 2502	−51.7	× 142 / 558	−13.2
6	65,617	2468.4	− 2531	−62.6	× 134 / 558	−15
Sum, rounded to a whole point						−61

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −50, −74, −62, −64, −78, −75, −70, −61 → −66.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 24 · 2017→2018: 12 · 2018→2019: 2 · 2019→2022: 14 · 2022→2023: 3 · 2023→2024: 5 · 2024→2025: 9 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −39.5, lower limit −92.7.

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.