Samuel Gompers Middle: 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
6	32,907	2399.4	− 2552	−152.6	× 154 / 572	−41.1
7	32,910	2405.5	− 2567	−161.5	× 190 / 572	−53.6
8	32,911	2467.1	− 2586	−118.9	× 228 / 572	−47.4
Sum, rounded to a whole point						−142

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,121	2398.0	− 2552	−154	× 163 / 537	−46.7
7	31,124	2393.5	− 2567	−173.5	× 175 / 537	−56.5
8	31,126	2444.8	− 2586	−141.2	× 199 / 537	−52.3
Sum, rounded to a whole point						−156

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,683	2382.7	− 2552	−169.3	× 110 / 454	−41
7	31,685	2409.4	− 2567	−157.6	× 165 / 454	−57.3
8	31,687	2409.7	− 2586	−176.3	× 179 / 454	−69.5
Sum, rounded to a whole point						−168

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,728	2415.9	− 2552	−136.1	× 136 / 409	−45.3
7	31,730	2419.6	− 2567	−147.4	× 126 / 409	−45.4
8	31,732	2414.5	− 2586	−171.5	× 147 / 409	−61.6
Sum, rounded to a whole point						−152

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,905	2413.8	− 2552	−138.2	× 142 / 431	−45.5
7	31,906	2438.8	− 2567	−128.2	× 139 / 431	−41.3
8	31,907	2417.7	− 2586	−168.3	× 150 / 431	−58.6
Sum, rounded to a whole point						−145

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,932	2410.2	− 2552	−141.8	× 126 / 400	−44.7
7	31,933	2453.7	− 2567	−113.3	× 145 / 400	−41.1
8	31,934	2458.6	− 2586	−127.4	× 129 / 400	−41.1
Sum, rounded to a whole point						−127

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,989	2411.0	− 2552	−141	× 131 / 424	−43.6
7	31,990	2426.8	− 2567	−140.2	× 144 / 424	−47.6
8	31,991	2453.5	− 2586	−132.5	× 149 / 424	−46.6
Sum, rounded to a whole point						−138

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,855	2410.1	− 2552	−141.9	× 124 / 448	−39.3
7	31,856	2427.3	− 2567	−139.7	× 161 / 448	−50.2
8	31,857	2438.4	− 2586	−147.6	× 163 / 448	−53.7
Sum, rounded to a whole point						−143

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,714	2434.2	− 2552	−117.8	× 112 / 390	−33.8
7	31,715	2437.1	− 2567	−129.9	× 137 / 390	−45.6
8	31,716	2453.6	− 2586	−132.4	× 141 / 390	−47.9
Sum, rounded to a whole point						−127

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −142, −156, −168, −152, −145, −127, −138, −143, −127 → −144.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 12 · 2017→2018: 16 · 2018→2019: 7 · 2019→2022: 18 · 2022→2023: 11 · 2023→2024: 5 · 2024→2025: 16 → average 12.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.4 × 2.66 = 33. Upper limit −111.2, lower limit −177.2.

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.