Renaissance 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.

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	85,976	2531.0	− 2552	−21	× 96 / 281	−7.2
7	85,978	2534.3	− 2567	−32.7	× 93 / 281	−10.8
8	85,980	2627.8	− 2586	41.8	× 92 / 281	13.7
Sum, rounded to a whole point						−4

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	79,782	2548.6	− 2552	−3.4	× 99 / 283	−1.2
7	79,785	2581.7	− 2567	14.7	× 98 / 283	5.1
8	79,786	2598.0	− 2586	12	× 86 / 283	3.6
Sum, rounded to a whole point						8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	81,963	2552.4	− 2552	0.4	× 100 / 293	0.1
7	81,966	2613.4	− 2567	46.4	× 96 / 293	15.2
8	81,968	2593.0	− 2586	7	× 97 / 293	2.3
Sum, rounded to a whole point						18

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,156	2508.8	− 2552	−43.2	× 93 / 288	−14
7	82,158	2535.9	− 2567	−31.1	× 101 / 288	−10.9
8	82,160	2624.9	− 2586	38.9	× 94 / 288	12.7
Sum, rounded to a whole point						−12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,769	2512.3	− 2552	−39.7	× 101 / 297	−13.5
7	82,770	2503.9	− 2567	−63.1	× 95 / 297	−20.2
8	82,771	2572.3	− 2586	−13.7	× 101 / 297	−4.7
Sum, rounded to a whole point						−38

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,974	2451.2	− 2552	−100.8	× 118 / 414	−28.7
7	82,975	2445.2	− 2567	−121.8	× 133 / 414	−39.1
8	82,976	2475.2	− 2586	−110.8	× 163 / 414	−43.6
Sum, rounded to a whole point						−111

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,955	2480.6	− 2552	−71.4	× 108 / 357	−21.6
7	82,956	2465.7	− 2567	−101.3	× 121 / 357	−34.3
8	82,957	2477.4	− 2586	−108.6	× 128 / 357	−38.9
Sum, rounded to a whole point						−95

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,956	2480.2	− 2552	−71.8	× 120 / 366	−23.5
7	82,957	2487.0	− 2567	−80	× 115 / 366	−25.1
8	82,958	2492.2	− 2586	−93.8	× 131 / 366	−33.6
Sum, rounded to a whole point						−82

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,638	2484.1	− 2552	−67.9	× 85 / 328	−17.6
7	82,639	2486.3	− 2567	−80.7	× 123 / 328	−30.3
8	82,640	2489.6	− 2586	−96.4	× 120 / 328	−35.3
Sum, rounded to a whole point						−83

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −4, 8, 18, −12, −38, −111, −95, −82, −83 → −44.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 10 · 2017→2018: 30 · 2018→2019: 26 · 2019→2022: 73 · 2022→2023: 16 · 2023→2024: 13 · 2024→2025: 1 → average 22.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 22.6 × 2.66 = 60.1. Upper limit 15.8, lower limit −104.4.

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.