Marston 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.

6th The average 6th grader scores just under the grade 6 bar. 2547 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2576 vs. 2567.
8th The average 8th grader scores just under the grade 8 bar. 2579 vs. 2586.

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
6	74,839	2522.1	− 2552	−29.9	× 256 / 718	−10.7
7	74,840	2505.8	− 2567	−61.2	× 225 / 718	−19.2
8	74,843	2542.3	− 2586	−43.7	× 237 / 718	−14.4
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	69,541	2509.9	− 2552	−42.1	× 223 / 690	−13.6
7	69,543	2525.7	− 2567	−41.3	× 252 / 690	−15.1
8	69,544	2540.0	− 2586	−46	× 215 / 690	−14.3
Sum, rounded to a whole point						−43

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,373	2527.1	− 2552	−24.9	× 204 / 670	−7.6
7	71,375	2521.8	− 2567	−45.2	× 221 / 670	−14.9
8	71,378	2555.4	− 2586	−30.6	× 245 / 670	−11.2
Sum, rounded to a whole point						−34

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,518	2526.7	− 2552	−25.3	× 226 / 644	−8.9
7	71,521	2559.4	− 2567	−7.6	× 196 / 644	−2.3
8	71,522	2545.0	− 2586	−41	× 222 / 644	−14.1
Sum, rounded to a whole point						−25

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,004	2544.4	− 2552	−7.6	× 218 / 622	−2.7
7	72,005	2549.6	− 2567	−17.4	× 212 / 622	−5.9
8	72,006	2588.5	− 2586	2.5	× 192 / 622	0.8
Sum, rounded to a whole point						−8

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,094	2534.7	− 2552	−17.3	× 186 / 607	−5.3
7	72,095	2549.1	− 2567	−17.9	× 200 / 607	−5.9
8	72,096	2569.6	− 2586	−16.4	× 221 / 607	−6
Sum, rounded to a whole point						−17

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,088	2534.2	− 2552	−17.8	× 193 / 571	−6
7	72,089	2573.6	− 2567	6.6	× 196 / 571	2.3
8	72,090	2540.5	− 2586	−45.5	× 182 / 571	−14.5
Sum, rounded to a whole point						−18

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,070	2537.5	− 2552	−14.5	× 243 / 640	−5.5
7	72,071	2564.5	− 2567	−2.5	× 196 / 640	−0.8
8	72,072	2571.3	− 2586	−14.7	× 201 / 640	−4.6
Sum, rounded to a whole point						−11

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,786	2537.5	− 2552	−14.5	× 240 / 679	−5.1
7	71,787	2565.2	− 2567	−1.8	× 242 / 679	−0.6
8	71,788	2589.0	− 2586	3	× 197 / 679	0.9
Sum, rounded to a whole point						−5

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	71,809	2547.0	− 2552	−5	× 221 / 681	−1.6
7	71,810	2576.2	− 2567	9.2	× 231 / 681	3.1
8	71,811	2578.9	− 2586	−7.1	× 229 / 681	−2.4
Sum, rounded to a whole point						−1

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −44, −43, −34, −25, −8, −17, −18, −11, −5, −1 → −20.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 9 · 2017→2018: 9 · 2018→2019: 17 · 2019→2022: 9 · 2022→2023: 1 · 2023→2024: 7 · 2024→2025: 6 · 2025→2026: 4 → average 7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7 × 2.66 = 18.6. Upper limit −2, lower limit −39.2.

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.