Darnall 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	74,206	2424.2	− 2436	−11.8	× 81 / 392	−2.4
4	74,208	2435.6	− 2485	−49.4	× 73 / 392	−9.2
5	74,210	2448.4	− 2528	−79.6	× 83 / 392	−16.9
6	74,212	2472.8	− 2552	−79.2	× 73 / 392	−14.7
7	74,214	2495.6	− 2567	−71.4	× 53 / 392	−9.7
8	74,216	2482.4	− 2586	−103.6	× 29 / 392	−7.7
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,921	2399.2	− 2436	−36.8	× 79 / 411	−7.1
4	68,922	2447.4	− 2485	−37.6	× 82 / 411	−7.5
5	68,925	2459.0	− 2528	−69	× 71 / 411	−11.9
6	68,927	2475.7	− 2552	−76.3	× 72 / 411	−13.4
7	68,928	2494.3	− 2567	−72.7	× 62 / 411	−11
8	68,930	2515.6	− 2586	−70.4	× 45 / 411	−7.7
Sum, rounded to a whole point						−59

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,753	2437.0	− 2436	1	× 72 / 421	0.2
4	70,756	2435.4	− 2485	−49.6	× 79 / 421	−9.3
5	70,758	2472.4	− 2528	−55.6	× 79 / 421	−10.4
6	70,760	2479.3	− 2552	−72.7	× 69 / 421	−11.9
7	70,762	2482.7	− 2567	−84.3	× 69 / 421	−13.8
8	70,763	2516.2	− 2586	−69.8	× 53 / 421	−8.8
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,900	2434.9	− 2436	−1.1	× 72 / 424	−0.2
4	70,902	2454.0	− 2485	−31	× 75 / 424	−5.5
5	70,904	2473.3	− 2528	−54.7	× 70 / 424	−9
6	70,906	2486.3	− 2552	−65.7	× 74 / 424	−11.5
7	70,908	2489.3	− 2567	−77.7	× 63 / 424	−11.5
8	70,910	2491.5	− 2586	−94.5	× 70 / 424	−15.6
Sum, rounded to a whole point						−53

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,391	2411.0	− 2436	−25	× 77 / 426	−4.5
4	71,392	2442.8	− 2485	−42.2	× 75 / 426	−7.4
5	71,393	2510.4	− 2528	−17.6	× 77 / 426	−3.2
6	71,394	2482.1	− 2552	−69.9	× 70 / 426	−11.5
7	71,395	2480.6	− 2567	−86.4	× 67 / 426	−13.6
8	71,396	2491.0	− 2586	−95	× 60 / 426	−13.4
Sum, rounded to a whole point						−54

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,491	2398.0	− 2436	−38	× 51 / 316	−6.1
4	71,492	2425.1	− 2485	−59.9	× 42 / 316	−8
5	71,493	2454.9	− 2528	−73.1	× 58 / 316	−13.4
6	71,494	2480.2	− 2552	−71.8	× 61 / 316	−13.9
7	71,495	2479.9	− 2567	−87.1	× 55 / 316	−15.2
8	71,496	2491.2	− 2586	−94.8	× 49 / 316	−14.7
Sum, rounded to a whole point						−71

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,485	2375.6	− 2436	−60.4	× 54 / 296	−11
4	71,486	2417.3	− 2485	−67.7	× 49 / 296	−11.2
5	71,487	2480.3	− 2528	−47.7	× 40 / 296	−6.4
6	71,488	2455.3	− 2552	−96.7	× 53 / 296	−17.3
7	71,489	2483.8	− 2567	−83.2	× 49 / 296	−13.8
8	71,490	2492.5	− 2586	−93.5	× 51 / 296	−16.1
Sum, rounded to a whole point						−76

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,467	2337.3	− 2436	−98.7	× 42 / 298	−13.9
4	71,468	2390.4	− 2485	−94.6	× 57 / 298	−18.1
5	71,469	2480.3	− 2528	−47.7	× 48 / 298	−7.7
6	71,470	2454.9	− 2552	−97.1	× 40 / 298	−13
7	71,471	2475.4	− 2567	−91.6	× 50 / 298	−15.4
8	71,472	2469.5	− 2586	−116.5	× 61 / 298	−23.8
Sum, rounded to a whole point						−92

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,183	2327.0	− 2436	−109	× 43 / 291	−16.1
4	71,184	2369.5	− 2485	−115.5	× 47 / 291	−18.7
5	71,185	2445.8	− 2528	−82.2	× 60 / 291	−16.9
6	71,186	2427.3	− 2552	−124.7	× 49 / 291	−21
7	71,187	2467.0	− 2567	−100	× 43 / 291	−14.8
8	71,188	2498.3	− 2586	−87.7	× 49 / 291	−14.8
Sum, rounded to a whole point						−102

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −59, −54, −53, −54, −71, −76, −92, −102 → −69.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 5 · 2017→2018: 1 · 2018→2019: 1 · 2019→2022: 17 · 2022→2023: 5 · 2023→2024: 16 · 2024→2025: 10 → average 7.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.1 × 2.66 = 18.9. Upper limit −50.2, lower limit −88.

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.