Durham Intermediate: 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 14 points under the grade 6 bar. 2539 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2572 vs. 2567.
8th The average 8th grader scores just under the grade 7 bar. 2562 vs. 2567. The 8th-grade bar is 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	4,688	2520.8	− 2552	−31.2	× 85 / 237	−11.2
7	4,691	2534.3	− 2567	−32.7	× 87 / 237	−12
8	4,692	2526.9	− 2586	−59.1	× 65 / 237	−16.2
Sum, rounded to a whole point						−39

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,187	2516.5	− 2552	−35.5	× 81 / 253	−11.4
7	4,189	2515.0	− 2567	−52	× 82 / 253	−16.9
8	4,191	2553.0	− 2586	−33	× 90 / 253	−11.7
Sum, rounded to a whole point						−40

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,263	2566.0	− 2552	14	× 70 / 223	4.4
7	4,265	2542.6	− 2567	−24.4	× 78 / 223	−8.5
8	4,266	2549.1	− 2586	−36.9	× 75 / 223	−12.4
Sum, rounded to a whole point						−17

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,265	2550.5	− 2552	−1.5	× 72 / 230	−0.5
7	4,267	2572.6	− 2567	5.6	× 79 / 230	1.9
8	4,269	2555.0	− 2586	−31	× 79 / 230	−10.6
Sum, rounded to a whole point						−9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,322	2535.1	− 2552	−16.9	× 82 / 239	−5.8
7	4,323	2570.4	− 2567	3.4	× 74 / 239	1.1
8	4,324	2558.2	− 2586	−27.8	× 83 / 239	−9.7
Sum, rounded to a whole point						−14

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,162	2516.3	− 2552	−35.7	× 74 / 220	−12
7	4,163	2513.8	− 2567	−53.2	× 71 / 220	−17.2
8	4,164	2532.0	− 2586	−54	× 75 / 220	−18.4
Sum, rounded to a whole point						−48

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,236	2542.7	− 2552	−9.3	× 71 / 229	−2.9
7	4,237	2544.0	− 2567	−23	× 77 / 229	−7.7
8	4,238	2531.7	− 2586	−54.3	× 81 / 229	−19.2
Sum, rounded to a whole point						−30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,217	2513.1	− 2552	−38.9	× 64 / 211	−11.8
7	4,218	2583.4	− 2567	16.4	× 74 / 211	5.8
8	4,219	2561.4	− 2586	−24.6	× 73 / 211	−8.5
Sum, rounded to a whole point						−15

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,182	2543.2	− 2552	−8.8	× 76 / 220	−3
7	4,183	2541.5	− 2567	−25.5	× 69 / 220	−8
8	4,184	2566.0	− 2586	−20	× 75 / 220	−6.8
Sum, rounded to a whole point						−18

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,136	2531.4	− 2552	−20.6	× 79 / 228	−7.1
7	4,137	2563.2	− 2567	−3.8	× 76 / 228	−1.3
8	4,138	2549.6	− 2586	−36.4	× 73 / 228	−11.7
Sum, rounded to a whole point						−20

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	4,114	2538.5	− 2552	−13.5	× 73 / 223	−4.4
7	4,115	2571.5	− 2567	4.5	× 75 / 223	1.5
8	4,116	2562.4	− 2586	−23.6	× 75 / 223	−7.9
Sum, rounded to a whole point						−11

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −39, −40, −17, −9, −14, −48, −30, −15, −18, −20, −11 → −23.7
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: 23 · 2017→2018: 8 · 2018→2019: 5 · 2019→2021: 34 · 2021→2022: 18 · 2022→2023: 15 · 2023→2024: 3 · 2024→2025: 2 · 2025→2026: 9 → average 11.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.8 × 2.66 = 31.4. Upper limit 7.7, lower limit −55.1.

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.