New Haven Unified: math

The shaded band is this district'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.

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	2,063	2419.4	− 2436	−16.6	× 896 / 6136	−2.4
4	2,064	2451.9	− 2485	−33.1	× 907 / 6136	−4.9
5	2,067	2487.7	− 2528	−40.3	× 890 / 6136	−5.8
6	2,068	2503.5	− 2552	−48.5	× 865 / 6136	−6.8
7	2,071	2523.2	− 2567	−43.8	× 827 / 6136	−5.9
8	2,072	2541.7	− 2586	−44.3	× 845 / 6136	−6.1
11	2,075	2574.0	− 2628	−54	× 906 / 6136	−8
Sum, rounded to a whole point						−40

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,770	2423.0	− 2436	−13	× 877 / 6111	−1.9
4	1,772	2466.0	− 2485	−19	× 884 / 6111	−2.7
5	1,775	2496.4	− 2528	−31.6	× 912 / 6111	−4.7
6	1,776	2500.6	− 2552	−51.4	× 828 / 6111	−7
7	1,779	2522.3	− 2567	−44.7	× 862 / 6111	−6.3
8	1,780	2542.3	− 2586	−43.7	× 849 / 6111	−6.1
11	1,782	2590.5	− 2628	−37.5	× 899 / 6111	−5.5
Sum, rounded to a whole point						−34

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,817	2436.1	− 2436	0.1	× 752 / 6093	0
4	1,819	2459.7	− 2485	−25.3	× 873 / 6093	−3.6
5	1,820	2498.1	− 2528	−29.9	× 854 / 6093	−4.2
6	1,823	2506.0	− 2552	−46	× 887 / 6093	−6.7
7	1,824	2528.7	− 2567	−38.3	× 868 / 6093	−5.5
8	1,826	2547.7	− 2586	−38.3	× 871 / 6093	−5.5
11	1,829	2583.7	− 2628	−44.3	× 988 / 6093	−7.2
Sum, rounded to a whole point						−33

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,827	2442.1	− 2436	6.1	× 782 / 5825	0.8
4	1,828	2467.5	− 2485	−17.5	× 738 / 5825	−2.2
5	1,831	2497.6	− 2528	−30.4	× 873 / 5825	−4.6
6	1,832	2504.8	− 2552	−47.2	× 815 / 5825	−6.6
7	1,835	2522.5	− 2567	−44.5	× 873 / 5825	−6.7
8	1,836	2551.5	− 2586	−34.5	× 845 / 5825	−5
11	1,839	2578.7	− 2628	−49.3	× 899 / 5825	−7.6
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,854	2444.0	− 2436	8	× 764 / 5654	1.1
4	1,855	2479.6	− 2485	−5.4	× 761 / 5654	−0.7
5	1,856	2508.6	− 2528	−19.4	× 735 / 5654	−2.5
6	1,857	2506.9	− 2552	−45.1	× 816 / 5654	−6.5
7	1,858	2523.9	− 2567	−43.1	× 825 / 5654	−6.3
8	1,859	2542.8	− 2586	−43.2	× 837 / 5654	−6.4
11	1,860	2588.4	− 2628	−39.6	× 916 / 5654	−6.4
Sum, rounded to a whole point						−28

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	1,798	2614.2	− 2628	−13.8	× 725 / 725	−13.8
Sum, rounded to a whole point						−14

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,844	2419.6	− 2436	−16.4	× 668 / 5040	−2.2
4	1,845	2462.3	− 2485	−22.7	× 699 / 5040	−3.1
5	1,846	2482.5	− 2528	−45.5	× 722 / 5040	−6.5
6	1,847	2492.0	− 2552	−60	× 675 / 5040	−8
7	1,848	2517.1	− 2567	−49.9	× 712 / 5040	−7
8	1,849	2525.3	− 2586	−60.7	× 715 / 5040	−8.6
11	1,850	2556.9	− 2628	−71.1	× 849 / 5040	−12
Sum, rounded to a whole point						−48

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,812	2416.9	− 2436	−19.1	× 683 / 4917	−2.7
4	1,813	2464.3	− 2485	−20.7	× 652 / 4917	−2.7
5	1,814	2491.1	− 2528	−36.9	× 691 / 4917	−5.2
6	1,815	2494.7	− 2552	−57.3	× 709 / 4917	−8.3
7	1,816	2503.9	− 2567	−63.1	× 682 / 4917	−8.8
8	1,817	2527.3	− 2586	−58.7	× 712 / 4917	−8.5
11	1,818	2543.7	− 2628	−84.3	× 788 / 4917	−13.5
Sum, rounded to a whole point						−50

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,778	2425.9	− 2436	−10.1	× 706 / 5005	−1.4
4	1,779	2461.4	− 2485	−23.6	× 665 / 5005	−3.1
5	1,780	2492.6	− 2528	−35.4	× 670 / 5005	−4.7
6	1,781	2504.8	− 2552	−47.2	× 668 / 5005	−6.3
7	1,782	2508.7	− 2567	−58.3	× 729 / 5005	−8.5
8	1,783	2514.8	− 2586	−71.2	× 690 / 5005	−9.8
11	1,784	2550.8	− 2628	−77.2	× 877 / 5005	−13.5
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,750	2432.3	− 2436	−3.7	× 723 / 4960	−0.5
4	1,751	2471.4	− 2485	−13.6	× 718 / 4960	−2
5	1,752	2492.4	− 2528	−35.6	× 667 / 4960	−4.8
6	1,753	2507.3	− 2552	−44.7	× 656 / 4960	−5.9
7	1,754	2520.9	− 2567	−46.1	× 695 / 4960	−6.5
8	1,755	2533.7	− 2586	−52.3	× 729 / 4960	−7.7
11	1,756	2571.7	− 2628	−56.3	× 772 / 4960	−8.8
Sum, rounded to a whole point						−36

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,734	2438.6	− 2436	2.6	× 646 / 4876	0.3
4	1,735	2473.7	− 2485	−11.3	× 728 / 4876	−1.7
5	1,736	2501.2	− 2528	−26.8	× 708 / 4876	−3.9
6	1,737	2509.8	− 2552	−42.2	× 657 / 4876	−5.7
7	1,738	2515.1	− 2567	−51.9	× 655 / 4876	−7
8	1,739	2541.5	− 2586	−44.5	× 704 / 4876	−6.4
11	1,740	2576.6	− 2628	−51.4	× 778 / 4876	−8.2
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −40, −34, −33, −32, −28, −14, −48, −50, −47, −36, −33 → −35.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 1 · 2017→2018: 1 · 2018→2019: 4 · 2019→2021: 14 · 2021→2022: 34 · 2022→2023: 2 · 2023→2024: 3 · 2024→2025: 11 · 2025→2026: 3 → average 7.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.9 × 2.66 = 21. Upper limit −14.9, lower limit −56.9.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

New Haven Unified