Yellen Learning Center: 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
4	35,508	2295.7	− 2485	−189.3	× 16 / 71	−42.7
5	35,509	2318.1	− 2528	−209.9	× 13 / 71	−38.4
6	35,512	2358.5	− 2552	−193.5	× 17 / 71	−46.3
7	35,513	2325.7	− 2567	−241.3	× 15 / 71	−51
8	35,516	2341.5	− 2586	−244.5	× 10 / 71	−34.4
Sum, rounded to a whole point						−213

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	33,149	2322.5	− 2528	−205.5	× 21 / 57	−75.7
6	33,151	2323.1	− 2552	−228.9	× 13 / 57	−52.2
7	33,154	2382.4	− 2567	−184.6	× 23 / 57	−74.5
Sum, rounded to a whole point						−202

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	33,721	2274.8	− 2485	−210.2	× 11 / 71	−32.6
5	33,724	2310.5	− 2528	−217.5	× 11 / 71	−33.7
6	33,725	2316.3	− 2552	−235.7	× 19 / 71	−63.1
7	33,728	2371.0	− 2567	−196	× 12 / 71	−33.1
8	33,730	2359.2	− 2586	−226.8	× 18 / 71	−57.5
Sum, rounded to a whole point						−220

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,746	2277.9	− 2436	−158.1	× 11 / 41	−42.4
4	33,748	2328.9	− 2485	−156.1	× 14 / 41	−53.3
7	33,754	2383.0	− 2567	−184	× 16 / 41	−71.8
Sum, rounded to a whole point						−168

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,924	2252.5	− 2436	−183.5	× 16 / 73	−40.2
4	33,925	2334.0	− 2485	−151	× 12 / 73	−24.8
5	33,926	2348.6	− 2528	−179.4	× 14 / 73	−34.4
7	33,928	2339.3	− 2567	−227.7	× 15 / 73	−46.8
8	33,929	2344.8	− 2586	−241.2	× 16 / 73	−52.9
Sum, rounded to a whole point						−199

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	33,837	2323.2	− 2528	−204.8	× 18 / 41	−89.9
7	33,839	2348.0	− 2567	−219	× 11 / 41	−58.8
8	33,840	2355.8	− 2586	−230.2	× 12 / 41	−67.4
Sum, rounded to a whole point						−216

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	33,887	2323.4	− 2552	−228.6	× 16 / 28	−130.6
7	33,888	2353.3	− 2567	−213.7	× 12 / 28	−91.6
Sum, rounded to a whole point						−222

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	33,746	2358.4	− 2567	−208.6	× 18 / 34	−110.4
8	33,747	2337.9	− 2586	−248.1	× 16 / 34	−116.8
Sum, rounded to a whole point						−227

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	33,606	2346.1	− 2552	−205.9	× 16 / 31	−106.3
8	33,608	2327.7	− 2586	−258.3	× 15 / 31	−125
Sum, rounded to a whole point						−231

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −213, −202, −220, −168, −199, −216, −222, −227, −231 → −210.9
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: 18 · 2017→2018: 52 · 2018→2019: 31 · 2019→2022: 17 · 2022→2023: 6 · 2023→2024: 5 · 2024→2025: 4 → average 18
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18 × 2.66 = 47.9. Upper limit −163, lower limit −258.8.

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.