Winters High: 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.

Measured against the grade 5 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

11th The average 11th grader scores just under the grade 5 bar. 2519 vs. 2528. The 11th-grade bar is 2628.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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
11	105,561	2548.0	− 2628	−80	× 94 / 94	−80
Sum, rounded to a whole point						−80

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	98,069	2547.4	− 2628	−80.6	× 96 / 96	−80.6
Sum, rounded to a whole point						−81

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	100,934	2576.4	− 2628	−51.6	× 101 / 101	−51.6
Sum, rounded to a whole point						−52

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,089	2553.5	− 2628	−74.5	× 99 / 99	−74.5
Sum, rounded to a whole point						−75

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,732	2522.3	− 2628	−105.7	× 98 / 98	−105.7
Sum, rounded to a whole point						−106

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	99,611	2526.8	− 2628	−101.2	× 96 / 96	−101.2
Sum, rounded to a whole point						−101

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	102,025	2491.0	− 2628	−137	× 129 / 129	−137
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
11	101,845	2496.8	− 2628	−131.2	× 92 / 92	−131.2
Sum, rounded to a whole point						−131

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,734	2537.7	− 2628	−90.3	× 100 / 100	−90.3
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
11	101,400	2535.3	− 2628	−92.7	× 103 / 103	−92.7
Sum, rounded to a whole point						−93

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,061	2518.8	− 2628	−109.2	× 97 / 97	−109.2
Sum, rounded to a whole point						−109

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −80, −81, −52, −75, −106, −101, −137, −131, −90, −93, −109 → −95.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 29 · 2017→2018: 23 · 2018→2019: 31 · 2019→2021: 5 · 2021→2022: 36 · 2022→2023: 6 · 2023→2024: 41 · 2024→2025: 3 · 2025→2026: 16 → average 19.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 19.1 × 2.66 = 50.8. Upper limit −45.1, lower limit −146.7.

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.