Julian 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

4th The average 4th grader scores 33 points under the grade 4 bar. 2452 vs. 2485.
5th The average 5th grader scores just under the grade 5 bar. 2523 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2543 vs. 2552.
7th The average 7th grader scores 24 points under the grade 6 bar. 2528 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader meets the grade 8 bar. 2590 vs. 2586.
11th The average 11th grader scores just under the grade 11 bar. 2620 vs. 2628.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	71,991	2412.8	− 2436	−23.2	× 151 / 1199	−2.9
4	71,993	2453.8	− 2485	−31.2	× 164 / 1199	−4.3
5	71,995	2491.1	− 2528	−36.9	× 173 / 1199	−5.3
6	71,997	2517.4	− 2552	−34.6	× 202 / 1199	−5.8
7	71,999	2548.0	− 2567	−19	× 182 / 1199	−2.9
8	72,001	2533.8	− 2586	−52.2	× 197 / 1199	−8.6
11	72,003	2547.8	− 2628	−80.2	× 130 / 1199	−8.7
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,758	2433.1	− 2436	−2.9	× 168 / 1256	−0.4
4	66,760	2466.0	− 2485	−19	× 151 / 1256	−2.3
5	66,763	2493.7	− 2528	−34.3	× 180 / 1256	−4.9
6	66,764	2513.6	− 2552	−38.4	× 233 / 1256	−7.1
7	66,767	2538.2	− 2567	−28.8	× 196 / 1256	−4.5
8	66,769	2556.9	− 2586	−29.1	× 185 / 1256	−4.3
11	66,771	2521.7	− 2628	−106.3	× 143 / 1256	−12.1
Sum, rounded to a whole point						−36

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,591	2420.4	− 2436	−15.6	× 204 / 1351	−2.4
4	68,593	2485.2	− 2485	0.2	× 183 / 1351	0
5	68,595	2492.6	− 2528	−35.4	× 192 / 1351	−5
6	68,598	2520.3	− 2552	−31.7	× 226 / 1351	−5.3
7	68,599	2543.2	− 2567	−23.8	× 227 / 1351	−4
8	68,602	2553.0	− 2586	−33	× 196 / 1351	−4.8
11	68,604	2526.0	− 2628	−102	× 123 / 1351	−9.3
Sum, rounded to a whole point						−31

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,746	2428.0	− 2436	−8	× 148 / 1186	−1
4	68,748	2478.3	− 2485	−6.7	× 156 / 1186	−0.9
5	68,750	2526.2	− 2528	−1.8	× 152 / 1186	−0.2
6	68,752	2534.9	− 2552	−17.1	× 196 / 1186	−2.8
7	68,754	2547.0	− 2567	−20	× 201 / 1186	−3.4
8	68,756	2553.4	− 2586	−32.6	× 204 / 1186	−5.6
11	68,758	2535.9	− 2628	−92.1	× 129 / 1186	−10
Sum, rounded to a whole point						−24

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	69,307	2552.9	− 2586	−33.1	× 12 / 12	−33.1
Sum, rounded to a whole point						−33

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	67,843	2492.1	− 2567	−74.9	× 11 / 11	−74.9
Sum, rounded to a whole point						−75

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	69,389	2422.0	− 2485	−63	× 12 / 93	−8.1
5	69,390	2480.2	− 2528	−47.8	× 14 / 93	−7.2
6	69,391	2508.4	− 2552	−43.6	× 21 / 93	−9.8
7	69,392	2560.4	− 2567	−6.6	× 15 / 93	−1.1
8	69,393	2566.0	− 2586	−20	× 20 / 93	−4.3
11	69,394	2618.5	− 2628	−9.5	× 11 / 93	−1.1
Sum, rounded to a whole point						−32

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	69,413	2482.0	− 2485	−3	× 11 / 107	−0.3
5	69,414	2475.6	− 2528	−52.4	× 11 / 107	−5.4
6	69,415	2504.3	− 2552	−47.7	× 11 / 107	−4.9
7	69,416	2560.5	− 2567	−6.5	× 26 / 107	−1.6
8	69,417	2569.1	− 2586	−16.9	× 16 / 107	−2.5
11	69,418	2540.4	− 2628	−87.6	× 32 / 107	−26.2
Sum, rounded to a whole point						−41

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	69,392	2496.5	− 2528	−31.5	× 11 / 87	−4
6	69,393	2497.8	− 2552	−54.2	× 16 / 87	−10
7	69,394	2554.0	− 2567	−13	× 15 / 87	−2.2
8	69,395	2576.5	− 2586	−9.5	× 25 / 87	−2.7
11	69,396	2601.9	− 2628	−26.1	× 20 / 87	−6
Sum, rounded to a whole point						−25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	69,157	2447.1	− 2485	−37.9	× 11 / 114	−3.7
5	69,158	2513.0	− 2528	−15	× 14 / 114	−1.8
6	69,159	2521.1	− 2552	−30.9	× 18 / 114	−4.9
7	69,160	2534.3	− 2567	−32.7	× 26 / 114	−7.5
8	69,161	2610.2	− 2586	24.2	× 21 / 114	4.5
11	69,162	2572.7	− 2628	−55.3	× 24 / 114	−11.6
Sum, rounded to a whole point						−25

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	69,190	2451.8	− 2485	−33.2	× 12 / 121	−3.3
5	69,191	2523.1	− 2528	−4.9	× 12 / 121	−0.5
6	69,192	2543.2	− 2552	−8.8	× 20 / 121	−1.5
7	69,193	2528.3	− 2567	−38.7	× 26 / 121	−8.3
8	69,194	2590.0	− 2586	4	× 29 / 121	1
11	69,195	2619.7	− 2628	−8.3	× 22 / 121	−1.5
Sum, rounded to a whole point						−14

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −36, −31, −24, −33, −75, −32, −41, −25, −25, −14 → −34
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: 7 · 2018→2019: 9 · 2019→2021: 42 · 2021→2022: 43 · 2022→2023: 9 · 2023→2024: 16 · 2024→2025: 0 · 2025→2026: 11 → average 14.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.4 × 2.66 = 38.3. Upper limit 4.3, lower limit −72.3.

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.