Wilson 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	74,911	2461.8	− 2552	−90.2	× 221 / 615	−32.4
7	74,913	2461.7	− 2567	−105.3	× 194 / 615	−33.2
8	74,915	2502.9	− 2586	−83.1	× 200 / 615	−27
Sum, rounded to a whole point						−93

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	69,613	2459.6	− 2552	−92.4	× 206 / 612	−31.1
7	69,615	2470.7	− 2567	−96.3	× 217 / 612	−34.1
8	69,616	2489.8	− 2586	−96.2	× 189 / 612	−29.7
Sum, rounded to a whole point						−95

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,445	2456.0	− 2552	−96	× 224 / 655	−32.8
7	71,447	2460.2	− 2567	−106.8	× 208 / 655	−33.9
8	71,449	2486.6	− 2586	−99.4	× 223 / 655	−33.8
Sum, rounded to a whole point						−101

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,591	2470.0	− 2552	−82	× 226 / 659	−28.1
7	71,593	2436.5	− 2567	−130.5	× 234 / 659	−46.3
8	71,595	2497.5	− 2586	−88.5	× 199 / 659	−26.7
Sum, rounded to a whole point						−101

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,076	2475.2	− 2552	−76.8	× 209 / 653	−24.6
7	72,077	2473.2	− 2567	−93.8	× 229 / 653	−32.9
8	72,078	2499.9	− 2586	−86.1	× 215 / 653	−28.3
Sum, rounded to a whole point						−86

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,166	2427.8	− 2552	−124.2	× 227 / 666	−42.3
7	72,167	2453.2	− 2567	−113.8	× 234 / 666	−40
8	72,168	2469.5	− 2586	−116.5	× 205 / 666	−35.9
Sum, rounded to a whole point						−118

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,160	2443.8	− 2552	−108.2	× 238 / 690	−37.3
7	72,161	2450.8	− 2567	−116.2	× 231 / 690	−38.9
8	72,162	2467.9	− 2586	−118.1	× 221 / 690	−37.8
Sum, rounded to a whole point						−114

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,142	2454.4	− 2552	−97.6	× 234 / 715	−31.9
7	72,143	2445.7	− 2567	−121.3	× 236 / 715	−40
8	72,144	2481.2	− 2586	−104.8	× 245 / 715	−35.9
Sum, rounded to a whole point						−108

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,858	2443.4	− 2552	−108.6	× 209 / 670	−33.9
7	71,859	2459.9	− 2567	−107.1	× 234 / 670	−37.4
8	71,860	2471.7	− 2586	−114.3	× 227 / 670	−38.7
Sum, rounded to a whole point						−110

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −93, −95, −101, −101, −86, −118, −114, −108, −110 → −102.9
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: 6 · 2017→2018: 0 · 2018→2019: 15 · 2019→2022: 32 · 2022→2023: 4 · 2023→2024: 6 · 2024→2025: 2 → 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 −80.6, lower limit −125.2.

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.