Gallatin 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	22,723	2443.8	− 2436	7.8	× 91 / 361	2
4	22,724	2458.2	− 2485	−26.8	× 139 / 361	−10.3
5	22,727	2493.1	− 2528	−34.9	× 131 / 361	−12.7
Sum, rounded to a whole point						−21

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,367	2459.2	− 2436	23.2	× 112 / 354	7.3
4	21,369	2482.5	− 2485	−2.5	× 104 / 354	−0.7
5	21,371	2501.2	− 2528	−26.8	× 138 / 354	−10.4
Sum, rounded to a whole point						−4

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,774	2440.0	− 2436	4	× 119 / 346	1.4
4	21,776	2485.4	− 2485	0.4	× 121 / 346	0.1
5	21,779	2511.5	− 2528	−16.5	× 106 / 346	−5.1
Sum, rounded to a whole point						−4

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,749	2454.7	− 2436	18.7	× 119 / 380	5.9
4	21,751	2489.6	− 2485	4.6	× 128 / 380	1.5
5	21,753	2509.8	− 2528	−18.2	× 133 / 380	−6.4
Sum, rounded to a whole point						1

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,919	2451.8	− 2436	15.8	× 121 / 383	5
4	21,920	2499.4	− 2485	14.4	× 127 / 383	4.8
5	21,921	2536.9	− 2528	8.9	× 135 / 383	3.1
Sum, rounded to a whole point						13

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,896	2431.7	− 2436	−4.3	× 112 / 346	−1.4
4	21,897	2455.1	− 2485	−29.9	× 127 / 346	−11
5	21,898	2493.1	− 2528	−34.9	× 107 / 346	−10.8
Sum, rounded to a whole point						−23

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,875	2430.4	− 2436	−5.6	× 123 / 388	−1.8
4	21,876	2469.0	− 2485	−16	× 125 / 388	−5.2
5	21,877	2482.5	− 2528	−45.5	× 140 / 388	−16.4
Sum, rounded to a whole point						−23

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,735	2420.0	− 2436	−16	× 105 / 365	−4.6
4	21,736	2465.4	− 2485	−19.6	× 128 / 365	−6.9
5	21,737	2486.9	− 2528	−41.1	× 132 / 365	−14.9
Sum, rounded to a whole point						−26

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,648	2437.6	− 2436	1.6	× 132 / 383	0.6
4	21,649	2463.5	− 2485	−21.5	× 110 / 383	−6.2
5	21,650	2494.0	− 2528	−34	× 141 / 383	−12.5
Sum, rounded to a whole point						−18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −21, −4, −4, 1, 13, −23, −23, −26, −18 → −11.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 17 · 2016→2017: 0 · 2017→2018: 5 · 2018→2019: 12 · 2019→2022: 36 · 2022→2023: 0 · 2023→2024: 3 · 2024→2025: 8 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit 15.2, lower limit −38.6.

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.