Opportunities For Learning - Duarte: 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
7	22,855	2492.7	− 2567	−74.3	× 11 / 97	−8.4
11	22,859	2511.3	− 2628	−116.7	× 86 / 97	−103.5
Sum, rounded to a whole point						−112

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	21,463	2438.5	− 2586	−147.5	× 11 / 87	−18.6
11	21,465	2508.3	− 2628	−119.7	× 76 / 87	−104.6
Sum, rounded to a whole point						−123

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	21,869	2425.8	− 2567	−141.2	× 13 / 86	−21.3
8	21,871	2425.9	− 2586	−160.1	× 16 / 86	−29.8
11	21,872	2512.5	− 2628	−115.5	× 57 / 86	−76.6
Sum, rounded to a whole point						−128

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	21,843	2426.0	− 2567	−141	× 19 / 108	−24.8
8	21,845	2461.8	− 2586	−124.2	× 20 / 108	−23
11	21,847	2518.0	− 2628	−110	× 69 / 108	−70.3
Sum, rounded to a whole point						−118

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	22,017	2505.3	− 2628	−122.7	× 93 / 93	−122.7
Sum, rounded to a whole point						−123

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	21,991	2441.9	− 2586	−144.1	× 14 / 38	−53.1
11	21,992	2484.2	− 2628	−143.8	× 24 / 38	−90.8
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
8	21,972	2421.6	− 2586	−164.4	× 18 / 29	−102
11	21,973	2477.5	− 2628	−150.5	× 11 / 29	−57.1
Sum, rounded to a whole point						−159

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	21,829	2433.1	− 2567	−133.9	× 17 / 65	−35
8	21,830	2423.2	− 2586	−162.8	× 17 / 65	−42.6
11	21,831	2486.8	− 2628	−141.2	× 31 / 65	−67.3
Sum, rounded to a whole point						−145

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	21,742	2456.1	− 2567	−110.9	× 19 / 81	−26
8	21,743	2420.8	− 2586	−165.2	× 21 / 81	−42.8
11	21,744	2554.7	− 2628	−73.3	× 41 / 81	−37.1
Sum, rounded to a whole point						−106

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −112, −123, −128, −118, −123, −144, −159, −145, −106 → −128.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 5 · 2017→2018: 10 · 2018→2019: 5 · 2019→2022: 21 · 2022→2023: 15 · 2023→2024: 14 · 2024→2025: 39 → average 15
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15 × 2.66 = 39.9. Upper limit −88.8, lower limit −168.6.

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.