Pio Pico 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.

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	52,047	2397.6	− 2436	−38.4	× 117 / 306	−14.7
4	52,048	2424.6	− 2485	−60.4	× 84 / 306	−16.6
5	52,051	2438.8	− 2528	−89.2	× 105 / 306	−30.6
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	48,364	2385.9	− 2436	−50.1	× 76 / 281	−13.6
4	48,365	2445.3	− 2485	−39.7	× 123 / 281	−17.4
5	48,367	2422.2	− 2528	−105.8	× 82 / 281	−30.9
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,683	2396.7	− 2436	−39.3	× 91 / 279	−12.8
4	49,686	2449.6	− 2485	−35.4	× 71 / 279	−9
5	49,687	2451.4	− 2528	−76.6	× 117 / 279	−32.1
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,698	2374.1	− 2436	−61.9	× 105 / 264	−24.6
4	49,699	2454.1	− 2485	−30.9	× 88 / 264	−10.3
5	49,702	2481.8	− 2528	−46.2	× 71 / 264	−12.4
Sum, rounded to a whole point						−47

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,896	2405.2	− 2436	−30.8	× 77 / 274	−8.7
4	49,897	2412.5	− 2485	−72.5	× 108 / 274	−28.6
5	49,898	2479.9	− 2528	−48.1	× 89 / 274	−15.6
Sum, rounded to a whole point						−53

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,798	2365.9	− 2436	−70.1	× 74 / 229	−22.7
4	49,799	2399.3	− 2485	−85.7	× 77 / 229	−28.8
5	49,800	2436.2	− 2528	−91.8	× 78 / 229	−31.3
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	49,761	2391.2	− 2436	−44.8	× 85 / 243	−15.7
4	49,762	2391.4	− 2485	−93.6	× 71 / 243	−27.3
5	49,763	2396.9	− 2528	−131.1	× 70 / 243	−37.8
6	49,764	2449.1	− 2552	−102.9	× 17 / 243	−7.2
Sum, rounded to a whole point						−88

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,613	2371.6	− 2436	−64.4	× 49 / 256	−12.3
4	49,614	2425.7	− 2485	−59.3	× 81 / 256	−18.8
5	49,615	2416.6	− 2528	−111.4	× 71 / 256	−30.9
6	49,616	2391.4	− 2552	−160.6	× 38 / 256	−23.8
7	49,617	2460.6	− 2567	−106.4	× 17 / 256	−7.1
Sum, rounded to a whole point						−93

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,372	2363.9	− 2436	−72.1	× 70 / 312	−16.2
4	49,373	2407.2	− 2485	−77.8	× 48 / 312	−12
5	49,374	2436.0	− 2528	−92	× 79 / 312	−23.3
6	49,375	2392.0	− 2552	−160	× 60 / 312	−30.8
7	49,376	2394.5	− 2567	−172.5	× 38 / 312	−21
8	49,377	2435.5	− 2586	−150.5	× 17 / 312	−8.2
Sum, rounded to a whole point						−111

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −62, −62, −54, −47, −53, −83, −88, −93, −111 → −72.6
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: 8 · 2017→2018: 7 · 2018→2019: 6 · 2019→2022: 30 · 2022→2023: 5 · 2023→2024: 5 · 2024→2025: 18 → average 9.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.9 × 2.66 = 26.3. Upper limit −46.3, lower limit −98.9.

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.