Discovery Charter Ii: 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	85,845	2433.7	− 2436	−2.3	× 41 / 114	−0.8
4	85,848	2488.9	− 2485	3.9	× 30 / 114	1
5	85,849	2527.7	− 2528	−0.3	× 30 / 114	−0.1
6	85,852	2474.8	− 2552	−77.2	× 13 / 114	−8.8
Sum, rounded to a whole point						−9

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,670	2451.7	− 2436	15.7	× 55 / 164	5.3
4	79,672	2476.0	− 2485	−9	× 44 / 164	−2.4
5	79,675	2503.6	− 2528	−24.4	× 39 / 164	−5.8
6	79,676	2555.7	− 2552	3.7	× 26 / 164	0.6
Sum, rounded to a whole point						−2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,827	2448.9	− 2436	12.9	× 64 / 255	3.2
4	81,830	2485.5	− 2485	0.5	× 66 / 255	0.1
5	81,831	2490.3	− 2528	−37.7	× 45 / 255	−6.7
6	81,833	2543.3	− 2552	−8.7	× 49 / 255	−1.7
7	81,835	2529.8	− 2567	−37.2	× 20 / 255	−2.9
8	81,837	2570.5	− 2586	−15.5	× 11 / 255	−0.7
Sum, rounded to a whole point						−9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,015	2464.8	− 2436	28.8	× 63 / 268	6.8
4	82,017	2515.5	− 2485	30.5	× 61 / 268	6.9
5	82,019	2528.1	− 2528	0.1	× 54 / 268	0
6	82,021	2559.3	− 2552	7.3	× 38 / 268	1
7	82,023	2591.2	− 2567	24.2	× 36 / 268	3.3
8	82,025	2570.8	− 2586	−15.2	× 16 / 268	−0.9
Sum, rounded to a whole point						17

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,638	2450.0	− 2436	14	× 63 / 299	2.9
4	82,639	2492.3	− 2485	7.3	× 64 / 299	1.6
5	82,640	2533.3	− 2528	5.3	× 53 / 299	0.9
6	82,641	2534.0	− 2552	−18	× 51 / 299	−3.1
7	82,642	2518.1	− 2567	−48.9	× 29 / 299	−4.7
8	82,643	2616.1	− 2586	30.1	× 39 / 299	3.9
Sum, rounded to a whole point						2

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,950	2454.6	− 2436	18.6	× 49 / 254	3.6
4	80,951	2512.2	− 2485	27.2	× 50 / 254	5.4
5	80,952	2541.7	− 2528	13.7	× 53 / 254	2.9
6	80,953	2571.8	− 2552	19.8	× 43 / 254	3.4
7	80,954	2607.0	− 2567	40	× 39 / 254	6.1
8	80,955	2581.5	− 2586	−4.5	× 20 / 254	−0.4
Sum, rounded to a whole point						21

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,837	2449.3	− 2436	13.3	× 56 / 276	2.7
4	82,838	2465.9	− 2485	−19.1	× 52 / 276	−3.6
5	82,839	2540.0	− 2528	12	× 49 / 276	2.1
6	82,840	2552.5	− 2552	0.5	× 44 / 276	0.1
7	82,841	2609.3	− 2567	42.3	× 36 / 276	5.5
8	82,842	2603.7	− 2586	17.7	× 39 / 276	2.5
Sum, rounded to a whole point						9

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,811	2440.4	− 2436	4.4	× 60 / 251	1.1
4	82,812	2469.2	− 2485	−15.8	× 49 / 251	−3.1
5	82,813	2502.1	− 2528	−25.9	× 42 / 251	−4.3
6	82,814	2546.3	− 2552	−5.7	× 39 / 251	−0.9
7	82,815	2567.7	− 2567	0.7	× 31 / 251	0.1
8	82,816	2623.9	− 2586	37.9	× 30 / 251	4.5
Sum, rounded to a whole point						−3

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,821	2463.1	− 2436	27.1	× 58 / 288	5.5
4	82,822	2507.4	− 2485	22.4	× 59 / 288	4.6
5	82,823	2490.5	− 2528	−37.5	× 57 / 288	−7.4
6	82,824	2505.9	− 2552	−46.1	× 38 / 288	−6.1
7	82,825	2543.2	− 2567	−23.8	× 43 / 288	−3.6
8	82,826	2612.1	− 2586	26.1	× 33 / 288	3
Sum, rounded to a whole point						−4

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,497	2449.7	− 2436	13.7	× 50 / 268	2.6
4	82,498	2496.4	− 2485	11.4	× 58 / 268	2.5
5	82,499	2542.3	− 2528	14.3	× 57 / 268	3
6	82,500	2565.2	− 2552	13.2	× 46 / 268	2.3
7	82,501	2553.6	− 2567	−13.4	× 23 / 268	−1.2
8	82,502	2598.1	− 2586	12.1	× 34 / 268	1.5
Sum, rounded to a whole point						11

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −9, −2, −9, 17, 2, 21, 9, −3, −4, 11 → 3.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 7 · 2017→2018: 26 · 2018→2019: 15 · 2019→2021: 19 · 2021→2022: 12 · 2022→2023: 12 · 2023→2024: 1 · 2024→2025: 15 → average 12.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.7 × 2.66 = 33.8. Upper limit 37.1, lower limit −30.5.

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.