Arcadia 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	20,755	2495.7	− 2436	59.7	× 651 / 5060	7.7
4	20,758	2532.5	− 2485	47.5	× 648 / 5060	6.1
5	20,759	2563.6	− 2528	35.6	× 662 / 5060	4.7
6	20,762	2607.0	− 2552	55	× 741 / 5060	8.1
7	20,763	2622.9	− 2567	55.9	× 768 / 5060	8.5
8	20,766	2649.1	− 2586	63.1	× 775 / 5060	9.7
11	20,767	2680.7	− 2628	52.7	× 815 / 5060	8.5
Sum, rounded to a whole point						53

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,698	2490.2	− 2436	54.2	× 717 / 5228	7.4
4	19,701	2542.4	− 2485	57.4	× 683 / 5228	7.5
5	19,702	2572.7	− 2528	44.7	× 689 / 5228	5.9
6	19,704	2614.3	− 2552	62.3	× 716 / 5228	8.5
7	19,707	2644.3	− 2567	77.3	× 769 / 5228	11.4
8	19,708	2661.5	− 2586	75.5	× 797 / 5228	11.5
11	19,710	2688.5	− 2628	60.5	× 857 / 5228	9.9
Sum, rounded to a whole point						62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,993	2506.8	− 2436	70.8	× 628 / 5205	8.5
4	19,995	2535.2	− 2485	50.2	× 727 / 5205	7
5	19,996	2575.6	− 2528	47.6	× 719 / 5205	6.6
6	19,998	2612.8	− 2552	60.8	× 730 / 5205	8.5
7	20,000	2637.0	− 2567	70	× 749 / 5205	10.1
8	20,002	2680.7	− 2586	94.7	× 782 / 5205	14.2
11	20,004	2669.5	− 2628	41.5	× 870 / 5205	6.9
Sum, rounded to a whole point						62

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,991	2503.6	− 2436	67.6	× 590 / 4993	8
4	19,993	2550.0	− 2485	65	× 643 / 4993	8.4
5	19,995	2569.3	− 2528	41.3	× 745 / 4993	6.2
6	19,997	2614.2	− 2552	62.2	× 742 / 4993	9.2
7	19,999	2642.0	− 2567	75	× 748 / 4993	11.2
8	20,001	2663.7	− 2586	77.7	× 749 / 4993	11.7
11	20,003	2659.3	− 2628	31.3	× 776 / 4993	4.9
Sum, rounded to a whole point						60

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,179	2496.4	− 2436	60.4	× 588 / 4850	7.3
4	20,180	2541.1	− 2485	56.1	× 630 / 4850	7.3
5	20,181	2583.3	− 2528	55.3	× 656 / 4850	7.5
6	20,182	2606.1	− 2552	54.1	× 785 / 4850	8.8
7	20,183	2635.5	− 2567	68.5	× 752 / 4850	10.6
8	20,184	2675.0	− 2586	89	× 755 / 4850	13.9
11	20,185	2665.0	− 2628	37	× 684 / 4850	5.2
Sum, rounded to a whole point						61

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	19,668	2691.9	− 2628	63.9	× 584 / 584	63.9
Sum, rounded to a whole point						64

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,206	2499.4	− 2436	63.4	× 610 / 4482	8.6
4	20,207	2529.9	− 2485	44.9	× 616 / 4482	6.2
5	20,208	2561.3	− 2528	33.3	× 623 / 4482	4.6
6	20,209	2587.5	− 2552	35.5	× 621 / 4482	4.9
7	20,210	2611.4	− 2567	44.4	× 636 / 4482	6.3
8	20,211	2639.3	− 2586	53.3	× 664 / 4482	7.9
11	20,212	2663.6	− 2628	35.6	× 712 / 4482	5.7
Sum, rounded to a whole point						44

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,177	2497.0	− 2436	61	× 600 / 4676	7.8
4	20,178	2532.8	− 2485	47.8	× 650 / 4676	6.6
5	20,179	2557.5	− 2528	29.5	× 656 / 4676	4.1
6	20,180	2595.2	− 2552	43.2	× 690 / 4676	6.4
7	20,181	2614.0	− 2567	47	× 654 / 4676	6.6
8	20,182	2637.8	− 2586	51.8	× 670 / 4676	7.4
11	20,183	2659.9	− 2628	31.9	× 756 / 4676	5.2
Sum, rounded to a whole point						44

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,117	2488.1	− 2436	52.1	× 671 / 4869	7.2
4	20,118	2533.3	− 2485	48.3	× 632 / 4869	6.3
5	20,119	2564.6	− 2528	36.6	× 671 / 4869	5
6	20,120	2581.3	− 2552	29.3	× 695 / 4869	4.2
7	20,121	2617.9	− 2567	50.9	× 708 / 4869	7.4
8	20,122	2642.8	− 2586	56.8	× 678 / 4869	7.9
11	20,123	2655.3	− 2628	27.3	× 814 / 4869	4.6
Sum, rounded to a whole point						43

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,050	2486.6	− 2436	50.6	× 620 / 4839	6.5
4	20,051	2531.5	− 2485	46.5	× 700 / 4839	6.7
5	20,052	2562.7	− 2528	34.7	× 671 / 4839	4.8
6	20,053	2591.8	− 2552	39.8	× 698 / 4839	5.7
7	20,054	2612.0	− 2567	45	× 734 / 4839	6.8
8	20,055	2645.8	− 2586	59.8	× 724 / 4839	8.9
11	20,056	2657.9	− 2628	29.9	× 692 / 4839	4.3
Sum, rounded to a whole point						44

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	20,122	2491.8	− 2436	55.8	× 630 / 4953	7.1
4	20,123	2529.0	− 2485	44	× 638 / 4953	5.7
5	20,124	2563.3	− 2528	35.3	× 740 / 4953	5.3
6	20,125	2598.3	− 2552	46.3	× 715 / 4953	6.7
7	20,126	2615.4	− 2567	48.4	× 736 / 4953	7.2
8	20,127	2639.4	− 2586	53.4	× 762 / 4953	8.2
11	20,128	2646.3	− 2628	18.3	× 732 / 4953	2.7
Sum, rounded to a whole point						43

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 53, 62, 62, 60, 61, 64, 44, 44, 43, 44, 43 → 52.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 0 · 2017→2018: 2 · 2018→2019: 1 · 2019→2021: 3 · 2021→2022: 20 · 2022→2023: 0 · 2023→2024: 1 · 2024→2025: 1 · 2025→2026: 1 → average 3.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.8 × 2.66 = 10.1. Upper limit 62.8, lower limit 42.6.

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.

Arcadia Unified