Irvine 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	52,992	2486.2	− 2436	50.2	× 2569 / 16999	7.6
4	52,994	2532.5	− 2485	47.5	× 2403 / 16999	6.7
5	52,996	2565.4	− 2528	37.4	× 2554 / 16999	5.6
6	52,998	2606.8	− 2552	54.8	× 2484 / 16999	8
7	53,000	2632.5	− 2567	65.5	× 2472 / 16999	9.5
8	53,002	2662.1	− 2586	76.1	× 2365 / 16999	10.6
11	53,004	2670.0	− 2628	42	× 2152 / 16999	5.3
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	49,233	2487.9	− 2436	51.9	× 2532 / 17586	7.5
4	49,235	2537.0	− 2485	52	× 2641 / 17586	7.8
5	49,238	2565.4	− 2528	37.4	× 2496 / 17586	5.3
6	49,239	2610.1	− 2552	58.1	× 2629 / 17586	8.7
7	49,242	2637.2	− 2567	70.2	× 2529 / 17586	10.1
8	49,243	2669.4	− 2586	83.4	× 2540 / 17586	12
11	49,246	2686.2	− 2628	58.2	× 2219 / 17586	7.3
Sum, rounded to a whole point						59

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,574	2488.1	− 2436	52.1	× 2583 / 18180	7.4
4	50,575	2532.5	− 2485	47.5	× 2640 / 18180	6.9
5	50,578	2566.2	− 2528	38.2	× 2715 / 18180	5.7
6	50,579	2606.7	− 2552	54.7	× 2589 / 18180	7.8
7	50,581	2634.4	− 2567	67.4	× 2648 / 18180	9.8
8	50,584	2668.1	− 2586	82.1	× 2581 / 18180	11.7
11	50,585	2685.0	− 2628	57	× 2424 / 18180	7.6
Sum, rounded to a whole point						57

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,595	2487.3	− 2436	51.3	× 2597 / 18557	7.2
4	50,597	2533.4	− 2485	48.4	× 2671 / 18557	7
5	50,599	2560.7	− 2528	32.7	× 2736 / 18557	4.8
6	50,601	2606.7	− 2552	54.7	× 2814 / 18557	8.3
7	50,603	2633.0	− 2567	66	× 2644 / 18557	9.4
8	50,605	2665.6	− 2586	79.6	× 2714 / 18557	11.6
11	50,607	2677.1	− 2628	49.1	× 2381 / 18557	6.3
Sum, rounded to a whole point						55

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,800	2486.7	− 2436	50.7	× 2681 / 19038	7.1
4	50,801	2533.9	− 2485	48.9	× 2727 / 19038	7
5	50,802	2562.2	− 2528	34.2	× 2737 / 19038	4.9
6	50,803	2603.7	− 2552	51.7	× 2822 / 19038	7.7
7	50,804	2641.0	− 2567	74	× 2847 / 19038	11.1
8	50,805	2664.4	− 2586	78.4	× 2698 / 19038	11.1
11	50,806	2684.9	− 2628	56.9	× 2526 / 19038	7.5
Sum, rounded to a whole point						56

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	49,535	2700.6	− 2628	72.6	× 2216 / 2216	72.6
Sum, rounded to a whole point						73

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,700	2482.8	− 2436	46.8	× 2780 / 19316	6.7
4	50,701	2529.8	− 2485	44.8	× 2826 / 19316	6.6
5	50,702	2554.5	− 2528	26.5	× 2852 / 19316	3.9
6	50,703	2596.0	− 2552	44	× 2914 / 19316	6.6
7	50,704	2621.6	− 2567	54.6	× 2728 / 19316	7.7
8	50,705	2642.6	− 2586	56.6	× 2759 / 19316	8.1
11	50,706	2666.8	− 2628	38.8	× 2457 / 19316	4.9
Sum, rounded to a whole point						45

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,656	2482.3	− 2436	46.3	× 2803 / 19973	6.5
4	50,657	2535.4	− 2485	50.4	× 2933 / 19973	7.4
5	50,658	2554.7	− 2528	26.7	× 2894 / 19973	3.9
6	50,659	2600.9	− 2552	48.9	× 2974 / 19973	7.3
7	50,660	2623.7	− 2567	56.7	× 2902 / 19973	8.2
8	50,661	2646.0	− 2586	60	× 2819 / 19973	8.5
11	50,662	2676.1	− 2628	48.1	× 2648 / 19973	6.4
Sum, rounded to a whole point						48

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,511	2481.5	− 2436	45.5	× 2947 / 20694	6.5
4	50,512	2532.8	− 2485	47.8	× 2975 / 20694	6.9
5	50,513	2559.4	− 2528	31.4	× 3060 / 20694	4.6
6	50,514	2601.0	− 2552	49	× 3015 / 20694	7.1
7	50,515	2630.0	− 2567	63	× 2961 / 20694	9
8	50,516	2651.1	− 2586	65.1	× 2988 / 20694	9.4
11	50,517	2660.6	− 2628	32.6	× 2748 / 20694	4.3
Sum, rounded to a whole point						48

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,269	2481.8	− 2436	45.8	× 2810 / 20855	6.2
4	50,270	2531.3	− 2485	46.3	× 3015 / 20855	6.7
5	50,271	2562.1	− 2528	34.1	× 3054 / 20855	5
6	50,272	2606.6	− 2552	54.6	× 3175 / 20855	8.3
7	50,273	2635.4	− 2567	68.4	× 2996 / 20855	9.8
8	50,274	2663.2	− 2586	77.2	× 3023 / 20855	11.2
11	50,275	2663.5	− 2628	35.5	× 2782 / 20855	4.7
Sum, rounded to a whole point						52

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 53, 59, 57, 55, 56, 73, 45, 48, 48, 52 → 54.6
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: 2 · 2017→2018: 2 · 2018→2019: 1 · 2019→2021: 17 · 2021→2022: 28 · 2022→2023: 3 · 2023→2024: 0 · 2024→2025: 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 73.2, lower limit 36.

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.