Bunche 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	39,160	2389.0	− 2552	−163	× 97 / 506	−31.2
7	39,161	2432.8	− 2567	−134.2	× 184 / 506	−48.8
8	39,164	2450.6	− 2586	−135.4	× 225 / 506	−60.2
Sum, rounded to a whole point						−140

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	36,351	2434.4	− 2552	−117.6	× 91 / 435	−24.6
7	36,353	2424.9	− 2567	−142.1	× 151 / 435	−49.3
8	36,355	2442.6	− 2586	−143.4	× 193 / 435	−63.6
Sum, rounded to a whole point						−138

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,114	2394.6	− 2552	−157.4	× 123 / 392	−49.4
7	37,116	2431.0	− 2567	−136	× 119 / 392	−41.3
8	37,118	2424.7	− 2586	−161.3	× 150 / 392	−61.7
Sum, rounded to a whole point						−152

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,072	2389.0	− 2552	−163	× 129 / 394	−53.4
7	37,075	2424.0	− 2567	−143	× 144 / 394	−52.3
8	37,077	2427.8	− 2586	−158.2	× 121 / 394	−48.6
Sum, rounded to a whole point						−154

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,275	2388.7	− 2552	−163.3	× 114 / 423	−44
7	37,276	2446.6	− 2567	−120.4	× 155 / 423	−44.1
8	37,277	2444.8	− 2586	−141.2	× 154 / 423	−51.4
Sum, rounded to a whole point						−140

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,194	2405.5	− 2552	−146.5	× 107 / 439	−35.7
7	37,195	2435.4	− 2567	−131.6	× 165 / 439	−49.5
8	37,196	2431.2	− 2586	−154.8	× 167 / 439	−58.9
Sum, rounded to a whole point						−144

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,227	2444.8	− 2552	−107.2	× 87 / 365	−25.6
7	37,228	2470.9	− 2567	−96.1	× 123 / 365	−32.4
8	37,229	2494.3	− 2586	−91.7	× 155 / 365	−38.9
Sum, rounded to a whole point						−97

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,077	2466.2	− 2552	−85.8	× 76 / 309	−21.1
7	37,078	2479.9	− 2567	−87.1	× 108 / 309	−30.4
8	37,079	2491.1	− 2586	−94.9	× 125 / 309	−38.4
Sum, rounded to a whole point						−90

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	36,914	2473.2	− 2552	−78.8	× 78 / 297	−20.7
7	36,915	2519.3	− 2567	−47.7	× 104 / 297	−16.7
8	36,916	2501.3	− 2586	−84.7	× 115 / 297	−32.8
Sum, rounded to a whole point						−70

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −140, −138, −152, −154, −140, −144, −97, −90, −70 → −125
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 14 · 2017→2018: 2 · 2018→2019: 14 · 2019→2022: 4 · 2022→2023: 47 · 2023→2024: 7 · 2024→2025: 20 → average 13.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.8 × 2.66 = 36.7. Upper limit −88.3, lower limit −161.7.

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.