Century Academy: 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 bars

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.

7th The average 7th grader meets the grade 7 bar. 2601 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2618 vs. 2586.
11th The average 11th grader meets the grade 11 bar. 2693 vs. 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	104,618	2568.1	− 2628	−59.9	× 17 / 17	−59.9
Sum, rounded to a whole point						−60

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	101,048	2461.0	− 2485	−24	× 13 / 39	−8
8	101,052	2554.5	− 2586	−31.5	× 11 / 39	−8.9
11	101,053	2524.5	− 2628	−103.5	× 15 / 39	−39.8
Sum, rounded to a whole point						−57

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	100,884	2566.3	− 2552	14.3	× 12 / 73	2.4
7	100,885	2545.5	− 2567	−21.5	× 11 / 73	−3.2
8	100,886	2555.1	− 2586	−30.9	× 17 / 73	−7.2
11	100,887	2594.5	− 2628	−33.5	× 33 / 73	−15.1
Sum, rounded to a whole point						−23

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	100,766	2510.6	− 2567	−56.4	× 16 / 60	−15
8	100,767	2542.9	− 2586	−43.1	× 14 / 60	−10.1
11	100,768	2550.8	− 2628	−77.2	× 30 / 60	−38.6
Sum, rounded to a whole point						−64

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	100,432	2581.2	− 2567	14.2	× 17 / 66	3.7
8	100,433	2556.1	− 2586	−29.9	× 20 / 66	−9.1
11	100,434	2588.5	− 2628	−39.5	× 29 / 66	−17.4
Sum, rounded to a whole point						−23

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	100,091	2600.5	− 2567	33.5	× 13 / 67	6.5
8	100,092	2617.9	− 2586	31.9	× 20 / 67	9.5
11	100,093	2693.0	− 2628	65	× 34 / 67	33
Sum, rounded to a whole point						49

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −60, −57, −23, −64, −23, 49 → −29.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2022: 3 · 2022→2023: 34 · 2023→2024: 41 · 2024→2025: 41 · 2025→2026: 72 → average 38.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 38.2 × 2.66 = 101.6. Upper limit 71.9, lower limit −131.3.

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.