Palermo Union 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	4,927	2401.7	− 2436	−34.3	× 136 / 800	−5.8
4	4,928	2439.1	− 2485	−45.9	× 134 / 800	−7.7
5	4,931	2453.7	− 2528	−74.3	× 140 / 800	−13
6	4,932	2456.2	− 2552	−95.8	× 141 / 800	−16.9
7	4,935	2480.9	− 2567	−86.1	× 116 / 800	−12.5
8	4,936	2503.8	− 2586	−82.2	× 133 / 800	−13.7
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	4,415	2416.7	− 2436	−19.3	× 127 / 764	−3.2
4	4,416	2439.3	− 2485	−45.7	× 145 / 764	−8.7
5	4,419	2462.1	− 2528	−65.9	× 135 / 764	−11.6
6	4,420	2433.9	− 2552	−118.1	× 125 / 764	−19.3
7	4,423	2478.0	− 2567	−89	× 129 / 764	−15
8	4,425	2496.0	− 2586	−90	× 103 / 764	−12.1
Sum, rounded to a whole point						−70

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,498	2386.7	− 2436	−49.3	× 148 / 802	−9.1
4	4,500	2435.7	− 2485	−49.3	× 137 / 802	−8.4
5	4,502	2440.3	− 2528	−87.7	× 151 / 802	−16.5
6	4,504	2442.3	− 2552	−109.7	× 128 / 802	−17.5
7	4,507	2462.1	− 2567	−104.9	× 118 / 802	−15.4
8	4,508	2480.5	− 2586	−105.5	× 120 / 802	−15.8
Sum, rounded to a whole point						−83

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,487	2399.5	− 2436	−36.5	× 122 / 830	−5.4
4	4,488	2443.9	− 2485	−41.1	× 147 / 830	−7.3
5	4,491	2459.5	− 2528	−68.5	× 147 / 830	−12.1
6	4,492	2430.1	− 2552	−121.9	× 152 / 830	−22.3
7	4,495	2469.7	− 2567	−97.3	× 125 / 830	−14.7
8	4,496	2458.1	− 2586	−127.9	× 137 / 830	−21.1
Sum, rounded to a whole point						−83

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,525	2409.1	− 2436	−26.9	× 128 / 861	−4
4	4,526	2443.2	− 2485	−41.8	× 138 / 861	−6.7
5	4,527	2458.8	− 2528	−69.2	× 156 / 861	−12.5
6	4,528	2442.1	− 2552	−109.9	× 148 / 861	−18.9
7	4,529	2467.9	− 2567	−99.1	× 158 / 861	−18.2
8	4,530	2486.8	− 2586	−99.2	× 133 / 861	−15.3
Sum, rounded to a whole point						−76

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,411	2388.8	− 2436	−47.2	× 107 / 728	−6.9
4	4,412	2428.3	− 2485	−56.7	× 129 / 728	−10
5	4,413	2431.7	− 2528	−96.3	× 121 / 728	−16
6	4,414	2460.1	− 2552	−91.9	× 107 / 728	−13.5
7	4,415	2470.1	− 2567	−96.9	× 122 / 728	−16.2
8	4,416	2481.5	− 2586	−104.5	× 142 / 728	−20.4
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,396	2389.2	− 2436	−46.8	× 111 / 707	−7.3
4	4,397	2440.9	− 2485	−44.1	× 112 / 707	−7
5	4,398	2461.0	− 2528	−67	× 127 / 707	−12
6	4,399	2439.1	− 2552	−112.9	× 137 / 707	−21.9
7	4,400	2486.6	− 2567	−80.4	× 106 / 707	−12.1
8	4,401	2490.3	− 2586	−95.7	× 114 / 707	−15.4
Sum, rounded to a whole point						−76

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,361	2412.3	− 2436	−23.7	× 134 / 798	−4
4	4,362	2436.3	− 2485	−48.7	× 122 / 798	−7.4
5	4,363	2450.3	− 2528	−77.7	× 128 / 798	−12.5
6	4,364	2462.8	− 2552	−89.2	× 154 / 798	−17.2
7	4,365	2453.3	− 2567	−113.7	× 142 / 798	−20.2
8	4,366	2475.6	− 2586	−110.4	× 118 / 798	−16.3
Sum, rounded to a whole point						−78

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,315	2412.1	− 2436	−23.9	× 135 / 827	−3.9
4	4,316	2453.2	− 2485	−31.8	× 141 / 827	−5.4
5	4,317	2463.2	− 2528	−64.8	× 128 / 827	−10
6	4,318	2472.5	− 2552	−79.5	× 140 / 827	−13.5
7	4,319	2481.5	− 2567	−85.5	× 148 / 827	−15.3
8	4,320	2476.8	− 2586	−109.2	× 135 / 827	−17.8
Sum, rounded to a whole point						−66

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,307	2409.3	− 2436	−26.7	× 130 / 816	−4.3
4	4,308	2445.3	− 2485	−39.7	× 133 / 816	−6.5
5	4,309	2462.2	− 2528	−65.8	× 139 / 816	−11.2
6	4,310	2478.9	− 2552	−73.1	× 142 / 816	−12.7
7	4,311	2478.5	− 2567	−88.5	× 133 / 816	−14.4
8	4,312	2510.7	− 2586	−75.3	× 139 / 816	−12.8
Sum, rounded to a whole point						−62

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −70, −70, −83, −83, −76, −83, −76, −78, −66, −62 → −74.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 13 · 2017→2018: 0 · 2018→2019: 7 · 2019→2022: 7 · 2022→2023: 7 · 2023→2024: 2 · 2024→2025: 12 · 2025→2026: 4 → average 5.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.8 × 2.66 = 15.4. Upper limit −59.3, lower limit −90.1.

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 Palermo Union Elementary

Elementary schools

Middle schools

Palermo Middle