Renaissance Arts 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	26,543	2552.8	− 2552	0.8	× 49 / 230	0.2
7	26,546	2564.2	− 2567	−2.8	× 62 / 230	−0.8
8	26,547	2577.6	− 2586	−8.4	× 77 / 230	−2.8
11	26,550	2658.1	− 2628	30.1	× 42 / 230	5.5
Sum, rounded to a whole point						2

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,663	2541.6	− 2552	−10.4	× 47 / 204	−2.4
7	24,665	2585.8	− 2567	18.8	× 64 / 204	5.9
8	24,667	2611.3	− 2586	25.3	× 63 / 204	7.8
11	24,669	2656.4	− 2628	28.4	× 30 / 204	4.2
Sum, rounded to a whole point						15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,158	2531.7	− 2552	−20.3	× 55 / 214	−5.2
7	25,161	2545.9	− 2567	−21.1	× 58 / 214	−5.7
8	25,163	2599.2	− 2586	13.2	× 62 / 214	3.8
11	25,165	2662.2	− 2628	34.2	× 39 / 214	6.2
Sum, rounded to a whole point						−1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,181	2455.1	− 2436	19.1	× 16 / 318	1
4	25,183	2491.8	− 2485	6.8	× 25 / 318	0.5
5	25,185	2534.5	− 2528	6.5	× 39 / 318	0.8
6	25,187	2547.1	− 2552	−4.9	× 58 / 318	−0.9
7	25,189	2570.1	− 2567	3.1	× 78 / 318	0.8
8	25,191	2585.6	− 2586	−0.4	× 56 / 318	−0.1
11	25,193	2649.8	− 2628	21.8	× 46 / 318	3.2
Sum, rounded to a whole point						5

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,345	2477.3	− 2436	41.3	× 28 / 341	3.4
4	25,346	2482.6	− 2485	−2.4	× 20 / 341	−0.1
5	25,347	2496.5	− 2528	−31.5	× 35 / 341	−3.2
6	25,348	2566.3	− 2552	14.3	× 66 / 341	2.8
7	25,349	2595.1	− 2567	28.1	× 67 / 341	5.5
8	25,350	2590.6	− 2586	4.6	× 81 / 341	1.1
11	25,351	2630.3	− 2628	2.3	× 44 / 341	0.3
Sum, rounded to a whole point						10

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	24,622	2455.1	− 2436	19.1	× 27 / 303	1.7
4	24,623	2466.3	− 2485	−18.7	× 42 / 303	−2.6
5	24,624	2529.6	− 2528	1.6	× 46 / 303	0.2
6	24,625	2522.7	− 2552	−29.3	× 46 / 303	−4.4
7	24,626	2582.2	− 2567	15.2	× 53 / 303	2.7
8	24,627	2570.8	− 2586	−15.2	× 60 / 303	−3
11	24,628	2660.3	− 2628	32.3	× 29 / 303	3.1
Sum, rounded to a whole point						−2

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,296	2470.0	− 2436	34	× 27 / 291	3.2
4	25,297	2530.3	− 2485	45.3	× 29 / 291	4.5
5	25,298	2536.2	− 2528	8.2	× 46 / 291	1.3
6	25,299	2600.5	− 2552	48.5	× 52 / 291	8.7
7	25,300	2683.1	− 2567	116.1	× 46 / 291	18.4
8	25,301	2694.3	− 2586	108.3	× 49 / 291	18.2
11	25,302	2726.6	− 2628	98.6	× 42 / 291	14.2
Sum, rounded to a whole point						68

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,247	2581.5	− 2436	145.5	× 23 / 242	13.8
4	25,248	2567.2	− 2485	82.2	× 31 / 242	10.5
5	25,249	2578.4	− 2528	50.4	× 30 / 242	6.2
6	25,250	2622.9	− 2552	70.9	× 48 / 242	14.1
7	25,251	2655.4	− 2567	88.4	× 45 / 242	16.4
8	25,252	2694.6	− 2586	108.6	× 38 / 242	17.1
11	25,253	2762.7	− 2628	134.7	× 27 / 242	15
Sum, rounded to a whole point						93

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,101	2505.6	− 2436	69.6	× 41 / 280	10.2
4	25,102	2525.7	− 2485	40.7	× 29 / 280	4.2
5	25,103	2587.3	− 2528	59.3	× 39 / 280	8.3
6	25,104	2602.8	− 2552	50.8	× 38 / 280	6.9
7	25,105	2635.0	− 2567	68	× 54 / 280	13.1
8	25,106	2695.8	− 2586	109.8	× 44 / 280	17.3
11	25,107	2776.4	− 2628	148.4	× 35 / 280	18.6
Sum, rounded to a whole point						78

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	24,990	2513.6	− 2436	77.6	× 24 / 276	6.7
4	24,991	2551.1	− 2485	66.1	× 43 / 276	10.3
5	24,992	2602.9	− 2528	74.9	× 29 / 276	7.9
6	24,993	2642.3	− 2552	90.3	× 46 / 276	15.1
7	24,994	2675.1	− 2567	108.1	× 43 / 276	16.8
8	24,995	2678.1	− 2586	92.1	× 55 / 276	18.4
11	24,996	2806.9	− 2628	178.9	× 36 / 276	23.3
Sum, rounded to a whole point						98

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 2, 15, −1, 5, 10, −2, 68, 93, 78, 98 → 36.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 16 · 2017→2018: 6 · 2018→2019: 5 · 2019→2021: 12 · 2021→2022: 70 · 2022→2023: 25 · 2023→2024: 15 · 2024→2025: 20 → average 20.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 20.2 × 2.66 = 53.7. Upper limit 90.3, lower limit −17.1.

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.