E. A. Hall 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	90,132	2421.3	− 2552	−130.7	× 207 / 566	−47.8
7	90,133	2458.8	− 2567	−108.2	× 189 / 566	−36.1
8	90,136	2478.7	− 2586	−107.3	× 170 / 566	−32.2
Sum, rounded to a whole point						−116

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,609	2419.6	− 2552	−132.4	× 236 / 623	−50.2
7	83,612	2442.2	− 2567	−124.8	× 204 / 623	−40.9
8	83,614	2454.0	− 2586	−132	× 183 / 623	−38.8
Sum, rounded to a whole point						−130

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,926	2428.0	− 2552	−124	× 212 / 633	−41.5
7	85,928	2434.0	− 2567	−133	× 227 / 633	−47.7
8	85,930	2443.2	− 2586	−142.8	× 194 / 633	−43.8
Sum, rounded to a whole point						−133

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,156	2413.4	− 2552	−138.6	× 190 / 613	−43
7	86,158	2438.6	− 2567	−128.4	× 207 / 613	−43.4
8	86,161	2442.1	− 2586	−143.9	× 216 / 613	−50.7
Sum, rounded to a whole point						−137

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,753	2420.1	− 2552	−131.9	× 219 / 600	−48.1
7	86,754	2425.2	− 2567	−141.8	× 184 / 600	−43.5
8	86,755	2448.2	− 2586	−137.8	× 197 / 600	−45.2
Sum, rounded to a whole point						−137

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	87,022	2403.9	− 2552	−148.1	× 188 / 549	−50.7
7	87,023	2428.8	− 2567	−138.2	× 192 / 549	−48.3
8	87,024	2444.1	− 2586	−141.9	× 169 / 549	−43.7
Sum, rounded to a whole point						−143

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,946	2385.1	− 2552	−166.9	× 185 / 566	−54.6
7	86,947	2416.9	− 2567	−150.1	× 186 / 566	−49.3
8	86,948	2435.7	− 2586	−150.3	× 195 / 566	−51.8
Sum, rounded to a whole point						−156

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,916	2401.7	− 2552	−150.3	× 161 / 526	−46
7	86,917	2406.8	− 2567	−160.2	× 180 / 526	−54.8
8	86,918	2442.6	− 2586	−143.4	× 185 / 526	−50.4
Sum, rounded to a whole point						−151

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,600	2382.6	− 2552	−169.4	× 131 / 456	−48.7
7	86,601	2420.2	− 2567	−146.8	× 154 / 456	−49.6
8	86,602	2417.1	− 2586	−168.9	× 171 / 456	−63.3
Sum, rounded to a whole point						−162

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −116, −130, −133, −137, −137, −143, −156, −151, −162 → −140.6
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: 3 · 2017→2018: 4 · 2018→2019: 0 · 2019→2022: 6 · 2022→2023: 13 · 2023→2024: 5 · 2024→2025: 11 → average 7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7 × 2.66 = 18.6. Upper limit −122, lower limit −159.2.

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.