Knox Middle: math · Schoolio

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	73,743	2407.8	− 2552	−144.2	× 176 / 533	−47.6
7	73,744	2437.1	− 2567	−129.9	× 158 / 533	−38.5
8	73,747	2461.3	− 2586	−124.7	× 199 / 533	−46.6
Sum, rounded to a whole point						−133

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	68,414	2412.5	− 2552	−139.5	× 180 / 534	−47
7	68,416	2440.7	− 2567	−126.3	× 189 / 534	−44.7
8	68,419	2463.1	− 2586	−122.9	× 165 / 534	−38
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	70,237	2404.3	− 2552	−147.7	× 180 / 582	−45.7
7	70,240	2423.9	− 2567	−143.1	× 208 / 582	−51.1
8	70,241	2431.9	− 2586	−154.1	× 194 / 582	−51.4
Sum, rounded to a whole point						−148

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,369	2406.8	− 2552	−145.2	× 208 / 594	−50.8
7	70,371	2431.1	− 2567	−135.9	× 181 / 594	−41.4
8	70,372	2417.9	− 2586	−168.1	× 205 / 594	−58
Sum, rounded to a whole point						−150

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,884	2399.6	− 2552	−152.4	× 192 / 583	−50.2
7	70,885	2421.3	− 2567	−145.7	× 207 / 583	−51.7
8	70,886	2436.0	− 2586	−150	× 184 / 583	−47.3
Sum, rounded to a whole point						−149

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,964	2421.1	− 2552	−130.9	× 151 / 520	−38
7	70,965	2439.9	− 2567	−127.1	× 181 / 520	−44.2
8	70,966	2433.4	− 2586	−152.6	× 188 / 520	−55.2
Sum, rounded to a whole point						−137

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,960	2429.2	− 2552	−122.8	× 151 / 475	−39
7	70,961	2453.4	− 2567	−113.6	× 155 / 475	−37.1
8	70,962	2459.1	− 2586	−126.9	× 169 / 475	−45.1
Sum, rounded to a whole point						−121

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,934	2430.0	− 2552	−122	× 158 / 479	−40.2
7	70,935	2436.3	− 2567	−130.7	× 166 / 479	−45.3
8	70,936	2456.0	− 2586	−130	× 155 / 479	−42.1
Sum, rounded to a whole point						−128

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,650	2451.2	− 2552	−100.8	× 141 / 461	−30.8
7	70,651	2437.4	− 2567	−129.6	× 155 / 461	−43.6
8	70,652	2458.8	− 2586	−127.2	× 165 / 461	−45.5
Sum, rounded to a whole point						−120

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −133, −130, −148, −150, −149, −137, −121, −128, −120 → −135.1
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: 18 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 12 · 2022→2023: 16 · 2023→2024: 7 · 2024→2025: 8 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit −112.8, lower limit −157.4.

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.