Marshall Middle: 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 4 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 8.

All students

7th The average 7th grader scores 14 points under the grade 4 bar. 2471 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 18 points under the grade 4 bar. 2467 vs. 2485. The 8th-grade bar is 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 7th 85 students 40 points under the grade 5 bar. 8th 101 students 40 points under the grade 5 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 7th 30 students 14 points under the grade 3 bar. 8th 20 students 73 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	36,860	2433.9	− 2552	−118.1	× 71 / 499	−16.8
7	36,861	2446.9	− 2567	−120.1	× 219 / 499	−52.7
8	36,864	2473.6	− 2586	−112.4	× 209 / 499	−47.1
Sum, rounded to a whole point						−117

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	34,344	2507.5	− 2552	−44.5	× 92 / 505	−8.1
7	34,347	2459.0	− 2567	−108	× 194 / 505	−41.5
8	34,348	2478.3	− 2586	−107.7	× 219 / 505	−46.7
Sum, rounded to a whole point						−96

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	34,956	2517.5	− 2552	−34.5	× 91 / 489	−6.4
7	34,959	2471.4	− 2567	−95.6	× 197 / 489	−38.5
8	34,961	2458.5	− 2586	−127.5	× 201 / 489	−52.4
Sum, rounded to a whole point						−97

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	34,966	2515.5	− 2552	−36.5	× 103 / 512	−7.3
7	34,968	2473.3	− 2567	−93.7	× 210 / 512	−38.4
8	34,970	2462.9	− 2586	−123.1	× 199 / 512	−47.8
Sum, rounded to a whole point						−94

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	35,141	2491.2	− 2552	−60.8	× 77 / 495	−9.5
7	35,142	2478.9	− 2567	−88.1	× 212 / 495	−37.7
8	35,143	2465.1	− 2586	−120.9	× 206 / 495	−50.3
Sum, rounded to a whole point						−98

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	35,038	2458.6	− 2552	−93.4	× 85 / 421	−18.9
7	35,039	2439.9	− 2567	−127.1	× 169 / 421	−51
8	35,040	2443.6	− 2586	−142.4	× 167 / 421	−56.5
Sum, rounded to a whole point						−126

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	35,077	2442.7	− 2552	−109.3	× 72 / 401	−19.6
7	35,078	2457.2	− 2567	−109.8	× 168 / 401	−46
8	35,079	2438.5	− 2586	−147.5	× 161 / 401	−59.2
Sum, rounded to a whole point						−125

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,936	2457.8	− 2567	−109.2	× 104 / 251	−45.2
8	34,937	2481.7	− 2586	−104.3	× 147 / 251	−61.1
Sum, rounded to a whole point						−106

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,783	2468.4	− 2567	−98.6	× 123 / 229	−53
8	34,784	2491.2	− 2586	−94.8	× 106 / 229	−43.9
Sum, rounded to a whole point						−97

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,787	2471.0	− 2567	−96	× 115 / 236	−46.8
8	34,788	2467.3	− 2586	−118.7	× 121 / 236	−60.9
Sum, rounded to a whole point						−108

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −117, −96, −97, −94, −98, −126, −125, −106, −97, −108 → −106.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 1 · 2017→2018: 3 · 2018→2019: 4 · 2019→2022: 28 · 2022→2023: 1 · 2023→2024: 19 · 2024→2025: 9 · 2025→2026: 11 → average 10.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.8 × 2.66 = 28.7. Upper limit −77.7, lower limit −135.1.

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.