Marvin A. Dutcher 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 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 8.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 249 of the 801 students who took the math test were English learners.

All students

6th The average 6th grader scores just under the grade 4 bar. 2480 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 27 points under the grade 5 bar. 2501 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 20 points under the grade 5 bar. 2508 vs. 2528. 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 6th 100 students 17 points under the grade 5 bar. 7th 224 students Just under the grade 5 bar. 8th 228 students 12 points under the grade 6 bar.

English learners

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

Grade bars 6th 69 students Just under the grade 3 bar. 7th 84 students Just under the grade 3 bar. 8th 96 students Just 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
7	98,381	2491.5	− 2567	−75.5	× 360 / 696	−39.1
8	98,382	2530.1	− 2586	−55.9	× 336 / 696	−27
Sum, rounded to a whole point						−66

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	91,152	2515.3	− 2567	−51.7	× 355 / 700	−26.2
8	91,155	2527.0	− 2586	−59	× 345 / 700	−29.1
Sum, rounded to a whole point						−55

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	93,912	2480.3	− 2552	−71.7	× 112 / 791	−10.2
7	93,914	2524.8	− 2567	−42.2	× 346 / 791	−18.5
8	93,916	2525.9	− 2586	−60.1	× 333 / 791	−25.3
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
6	94,125	2478.4	− 2552	−73.6	× 124 / 788	−11.6
7	94,127	2516.5	− 2567	−50.5	× 331 / 788	−21.2
8	94,129	2540.3	− 2586	−45.7	× 333 / 788	−19.3
Sum, rounded to a whole point						−52

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,749	2505.8	− 2552	−46.2	× 138 / 787	−8.1
7	94,750	2509.3	− 2567	−57.7	× 329 / 787	−24.1
8	94,751	2506.1	− 2586	−79.9	× 320 / 787	−32.5
Sum, rounded to a whole point						−65

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	92,720	2475.4	− 2552	−76.6	× 130 / 709	−14
7	92,721	2485.1	− 2567	−81.9	× 297 / 709	−34.3
8	92,722	2492.3	− 2586	−93.7	× 282 / 709	−37.3
Sum, rounded to a whole point						−86

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,973	2483.1	− 2552	−68.9	× 134 / 778	−11.9
7	94,974	2488.2	− 2567	−78.8	× 330 / 778	−33.4
8	94,975	2493.8	− 2586	−92.2	× 314 / 778	−37.2
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,873	2447.8	− 2552	−104.2	× 158 / 817	−20.2
7	94,874	2495.2	− 2567	−71.8	× 324 / 817	−28.5
8	94,875	2477.0	− 2586	−109	× 335 / 817	−44.7
Sum, rounded to a whole point						−93

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,746	2465.3	− 2552	−86.7	× 180 / 805	−19.4
7	94,747	2505.3	− 2567	−61.7	× 316 / 805	−24.2
8	94,748	2495.9	− 2586	−90.1	× 309 / 805	−34.6
Sum, rounded to a whole point						−78

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,476	2474.7	− 2552	−77.3	× 152 / 785	−15
7	94,477	2498.4	− 2567	−68.6	× 329 / 785	−28.8
8	94,478	2511.0	− 2586	−75	× 304 / 785	−29
Sum, rounded to a whole point						−73

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	94,078	2480.2	− 2552	−71.8	× 169 / 801	−15.1
7	94,079	2500.7	− 2567	−66.3	× 308 / 801	−25.5
8	94,080	2508.0	− 2586	−78	× 324 / 801	−31.6
Sum, rounded to a whole point						−72

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −66, −55, −54, −52, −65, −86, −83, −93, −78, −73, −72 → −70.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 1 · 2017→2018: 2 · 2018→2019: 13 · 2019→2021: 21 · 2021→2022: 3 · 2022→2023: 10 · 2023→2024: 15 · 2024→2025: 5 · 2025→2026: 1 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit −48.8, lower limit −92.4.

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.