Fountain Valley Elementary: 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	49,151	2468.7	− 2436	32.7	× 593 / 4248	4.6
4	49,152	2503.4	− 2485	18.4	× 656 / 4248	2.8
5	49,155	2536.5	− 2528	8.5	× 726 / 4248	1.5
6	49,156	2567.5	− 2552	15.5	× 737 / 4248	2.7
7	49,159	2596.9	− 2567	29.9	× 794 / 4248	5.6
8	49,160	2602.5	− 2586	16.5	× 742 / 4248	2.9
Sum, rounded to a whole point						20

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,679	2484.9	− 2436	48.9	× 654 / 4320	7.4
4	45,682	2529.7	− 2485	44.7	× 619 / 4320	6.4
5	45,683	2545.3	− 2528	17.3	× 699 / 4320	2.8
6	45,685	2578.9	− 2552	26.9	× 752 / 4320	4.7
7	45,688	2604.8	− 2567	37.8	× 775 / 4320	6.8
8	45,689	2615.4	− 2586	29.4	× 821 / 4320	5.6
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	46,896	2489.8	− 2436	53.8	× 673 / 4310	8.4
4	46,897	2533.3	− 2485	48.3	× 671 / 4310	7.5
5	46,900	2563.8	− 2528	35.8	× 636 / 4310	5.3
6	46,901	2570.4	− 2552	18.4	× 755 / 4310	3.2
7	46,904	2609.2	− 2567	42.2	× 811 / 4310	7.9
8	46,906	2639.1	− 2586	53.1	× 764 / 4310	9.4
Sum, rounded to a whole point						42

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,901	2491.6	− 2436	55.6	× 602 / 4287	7.8
4	46,903	2539.7	− 2485	54.7	× 693 / 4287	8.8
5	46,905	2562.0	− 2528	34	× 672 / 4287	5.3
6	46,907	2591.7	− 2552	39.7	× 688 / 4287	6.4
7	46,909	2607.2	− 2567	40.2	× 814 / 4287	7.6
8	46,911	2635.9	− 2586	49.9	× 818 / 4287	9.5
Sum, rounded to a whole point						46

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,087	2498.6	− 2436	62.6	× 622 / 4230	9.2
4	47,088	2536.1	− 2485	51.1	× 626 / 4230	7.6
5	47,089	2580.3	− 2528	52.3	× 706 / 4230	8.7
6	47,090	2597.5	− 2552	45.5	× 726 / 4230	7.8
7	47,091	2628.9	− 2567	61.9	× 729 / 4230	10.7
8	47,092	2648.5	− 2586	62.5	× 821 / 4230	12.1
Sum, rounded to a whole point						56

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,931	2486.8	− 2436	50.8	× 606 / 4007	7.7
4	46,932	2536.3	− 2485	51.3	× 628 / 4007	8
5	46,933	2562.2	− 2528	34.2	× 651 / 4007	5.6
6	46,934	2583.5	− 2552	31.5	× 660 / 4007	5.2
7	46,935	2604.4	− 2567	37.4	× 695 / 4007	6.5
8	46,936	2642.9	− 2586	56.9	× 767 / 4007	10.9
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	46,915	2507.3	− 2436	71.3	× 624 / 4004	11.1
4	46,916	2542.1	− 2485	57.1	× 614 / 4004	8.8
5	46,917	2570.0	− 2528	42	× 648 / 4004	6.8
6	46,918	2584.1	− 2552	32.1	× 710 / 4004	5.7
7	46,919	2619.6	− 2567	52.6	× 707 / 4004	9.3
8	46,920	2641.8	− 2586	55.8	× 701 / 4004	9.8
Sum, rounded to a whole point						51

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,768	2509.8	− 2436	73.8	× 609 / 4011	11.2
4	46,769	2546.1	− 2485	61.1	× 633 / 4011	9.6
5	46,770	2569.5	− 2528	41.5	× 634 / 4011	6.6
6	46,771	2583.5	− 2552	31.5	× 690 / 4011	5.4
7	46,772	2621.2	− 2567	54.2	× 727 / 4011	9.8
8	46,773	2655.6	− 2586	69.6	× 718 / 4011	12.5
Sum, rounded to a whole point						55

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,526	2512.5	− 2436	76.5	× 586 / 4014	11.2
4	46,527	2547.6	− 2485	62.6	× 619 / 4014	9.7
5	46,528	2578.9	− 2528	50.9	× 635 / 4014	8.1
6	46,529	2595.1	− 2552	43.1	× 705 / 4014	7.6
7	46,530	2618.7	− 2567	51.7	× 734 / 4014	9.5
8	46,531	2653.6	− 2586	67.6	× 735 / 4014	12.4
Sum, rounded to a whole point						58

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,396	2511.7	− 2436	75.7	× 535 / 3938	10.3
4	46,397	2551.8	− 2485	66.8	× 599 / 3938	10.2
5	46,398	2575.6	− 2528	47.6	× 634 / 3938	7.7
6	46,399	2601.8	− 2552	49.8	× 687 / 3938	8.7
7	46,400	2636.3	− 2567	69.3	× 739 / 3938	13
8	46,401	2660.4	− 2586	74.4	× 744 / 3938	14.1
Sum, rounded to a whole point						64

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 20, 34, 42, 46, 56, 44, 51, 55, 58, 64 → 47
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 8 · 2017→2018: 4 · 2018→2019: 10 · 2019→2022: 12 · 2022→2023: 7 · 2023→2024: 4 · 2024→2025: 3 · 2025→2026: 6 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit 67.2, lower limit 26.8.

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.

Fountain Valley Elementary