Discovery Charter: 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
3	85,728	2463.1	− 2436	27.1	× 52 / 378	3.7
4	85,730	2515.9	− 2485	30.9	× 54 / 378	4.4
5	85,732	2574.8	− 2528	46.8	× 52 / 378	6.4
6	85,734	2592.1	− 2552	40.1	× 71 / 378	7.5
7	85,736	2606.7	− 2567	39.7	× 74 / 378	7.8
8	85,738	2609.3	− 2586	23.3	× 75 / 378	4.6
Sum, rounded to a whole point						35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,549	2491.8	− 2436	55.8	× 54 / 386	7.8
4	79,550	2508.7	− 2485	23.7	× 54 / 386	3.3
5	79,553	2586.8	− 2528	58.8	× 55 / 386	8.4
6	79,555	2615.4	− 2552	63.4	× 79 / 386	13
7	79,557	2629.7	− 2567	62.7	× 68 / 386	11
8	79,559	2609.0	− 2586	23	× 76 / 386	4.5
Sum, rounded to a whole point						48

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,725	2487.8	− 2436	51.8	× 52 / 373	7.2
4	81,727	2534.8	− 2485	49.8	× 53 / 373	7.1
5	81,729	2538.1	− 2528	10.1	× 57 / 373	1.5
6	81,732	2616.9	− 2552	64.9	× 76 / 373	13.2
7	81,734	2644.8	− 2567	77.8	× 69 / 373	14.4
8	81,735	2624.5	− 2586	38.5	× 66 / 373	6.8
Sum, rounded to a whole point						50

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,912	2456.3	− 2436	20.3	× 52 / 387	2.7
4	81,915	2526.0	− 2485	41	× 51 / 387	5.4
5	81,916	2569.9	− 2528	41.9	× 54 / 387	5.8
6	81,919	2583.9	− 2552	31.9	× 79 / 387	6.5
7	81,920	2645.3	− 2567	78.3	× 75 / 387	15.2
8	81,923	2677.3	− 2586	91.3	× 76 / 387	17.9
Sum, rounded to a whole point						54

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,536	2464.6	− 2436	28.6	× 53 / 389	3.9
4	82,537	2494.6	− 2485	9.6	× 54 / 389	1.3
5	82,538	2578.5	− 2528	50.5	× 55 / 389	7.1
6	82,539	2591.3	− 2552	39.3	× 79 / 389	8
7	82,540	2616.3	− 2567	49.3	× 79 / 389	10
8	82,541	2667.5	− 2586	81.5	× 69 / 389	14.5
Sum, rounded to a whole point						45

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,832	2451.2	− 2436	15.2	× 49 / 348	2.1
4	80,833	2527.9	− 2485	42.9	× 49 / 348	6
5	80,834	2529.4	− 2528	1.4	× 52 / 348	0.2
6	80,835	2574.2	− 2552	22.2	× 71 / 348	4.5
7	80,836	2635.5	− 2567	68.5	× 70 / 348	13.8
8	80,837	2665.0	− 2586	79	× 57 / 348	12.9
Sum, rounded to a whole point						40

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,719	2465.3	− 2436	29.3	× 48 / 360	3.9
4	82,720	2504.6	− 2485	19.6	× 53 / 360	2.9
5	82,721	2568.6	− 2528	40.6	× 50 / 360	5.6
6	82,722	2585.0	− 2552	33	× 73 / 360	6.7
7	82,723	2630.3	− 2567	63.3	× 72 / 360	12.7
8	82,724	2642.5	− 2586	56.5	× 64 / 360	10
Sum, rounded to a whole point						42

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,693	2485.2	− 2436	49.2	× 51 / 363	6.9
4	82,694	2516.5	− 2485	31.5	× 49 / 363	4.3
5	82,695	2522.3	− 2528	−5.7	× 53 / 363	−0.8
6	82,696	2594.5	− 2552	42.5	× 70 / 363	8.2
7	82,697	2614.7	− 2567	47.7	× 76 / 363	10
8	82,698	2626.7	− 2586	40.7	× 64 / 363	7.2
Sum, rounded to a whole point						36

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,703	2502.5	− 2436	66.5	× 55 / 387	9.5
4	82,704	2528.3	− 2485	43.3	× 56 / 387	6.3
5	82,705	2558.8	− 2528	30.8	× 54 / 387	4.3
6	82,706	2574.7	− 2552	22.7	× 79 / 387	4.6
7	82,707	2604.7	− 2567	37.7	× 67 / 387	6.5
8	82,708	2623.3	− 2586	37.3	× 76 / 387	7.3
Sum, rounded to a whole point						39

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,381	2479.5	− 2436	43.5	× 58 / 379	6.7
4	82,382	2530.3	− 2485	45.3	× 52 / 379	6.2
5	82,383	2560.2	− 2528	32.2	× 55 / 379	4.7
6	82,384	2575.8	− 2552	23.8	× 72 / 379	4.5
7	82,385	2606.1	− 2567	39.1	× 75 / 379	7.7
8	82,386	2626.6	− 2586	40.6	× 67 / 379	7.2
Sum, rounded to a whole point						37

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 35, 48, 50, 54, 45, 40, 42, 36, 39, 37 → 42.6
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: 2 · 2017→2018: 4 · 2018→2019: 9 · 2019→2021: 5 · 2021→2022: 2 · 2022→2023: 6 · 2023→2024: 3 · 2024→2025: 2 → average 5.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.1 × 2.66 = 13.6. Upper limit 56.2, lower limit 29.

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.