Foxboro 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	93,305	2435.5	− 2436	−0.5	× 94 / 466	−0.1
4	93,306	2451.9	− 2485	−33.1	× 117 / 466	−8.3
5	93,309	2494.3	− 2528	−33.7	× 124 / 466	−9
6	93,310	2530.2	− 2552	−21.8	× 131 / 466	−6.1
Sum, rounded to a whole point						−24

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,703	2423.9	− 2436	−12.1	× 100 / 430	−2.8
4	86,706	2467.1	− 2485	−17.9	× 98 / 430	−4.1
5	86,708	2473.5	− 2528	−54.5	× 108 / 430	−13.7
6	86,709	2528.8	− 2552	−23.2	× 124 / 430	−6.7
Sum, rounded to a whole point						−27

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,109	2417.6	− 2436	−18.4	× 92 / 410	−4.1
4	89,110	2463.1	− 2485	−21.9	× 104 / 410	−5.6
5	89,113	2487.3	− 2528	−40.7	× 99 / 410	−9.8
6	89,115	2528.4	− 2552	−23.6	× 115 / 410	−6.6
Sum, rounded to a whole point						−26

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,322	2430.7	− 2436	−5.3	× 91 / 365	−1.3
4	89,325	2468.8	− 2485	−16.2	× 87 / 365	−3.9
5	89,326	2473.9	− 2528	−54.1	× 93 / 365	−13.8
6	89,329	2555.7	− 2552	3.7	× 94 / 365	1
Sum, rounded to a whole point						−18

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,934	2405.5	− 2436	−30.5	× 101 / 398	−7.7
4	89,935	2490.5	− 2485	5.5	× 95 / 398	1.3
5	89,936	2474.1	− 2528	−53.9	× 103 / 398	−13.9
6	89,937	2536.1	− 2552	−15.9	× 99 / 398	−4
Sum, rounded to a whole point						−24

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,206	2401.7	− 2436	−34.3	× 103 / 389	−9.1
4	90,207	2452.4	− 2485	−32.6	× 93 / 389	−7.8
5	90,208	2448.9	− 2528	−79.1	× 98 / 389	−19.9
6	90,209	2507.6	− 2552	−44.4	× 95 / 389	−10.8
Sum, rounded to a whole point						−48

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,096	2416.9	− 2436	−19.1	× 93 / 395	−4.5
4	90,097	2440.6	− 2485	−44.4	× 101 / 395	−11.4
5	90,098	2458.0	− 2528	−70	× 100 / 395	−17.7
6	90,099	2522.0	− 2552	−30	× 101 / 395	−7.7
Sum, rounded to a whole point						−41

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,043	2394.6	− 2436	−41.4	× 99 / 414	−9.9
4	90,044	2462.8	− 2485	−22.2	× 91 / 414	−4.9
5	90,045	2454.4	− 2528	−73.6	× 97 / 414	−17.2
6	90,046	2507.7	− 2552	−44.3	× 127 / 414	−13.6
Sum, rounded to a whole point						−46

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,731	2381.2	− 2436	−54.8	× 109 / 413	−14.5
4	89,732	2442.3	− 2485	−42.7	× 105 / 413	−10.9
5	89,733	2480.4	− 2528	−47.6	× 96 / 413	−11.1
6	89,734	2487.7	− 2552	−64.3	× 103 / 413	−16
Sum, rounded to a whole point						−52

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −24, −27, −26, −18, −24, −48, −41, −46, −52 → −34
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 1 · 2017→2018: 8 · 2018→2019: 6 · 2019→2022: 24 · 2022→2023: 7 · 2023→2024: 5 · 2024→2025: 6 → average 7.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.5 × 2.66 = 20. Upper limit −14, lower limit −54.

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.