Palos Verdes Peninsula 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	35,794	2494.8	− 2436	58.8	× 718 / 5462	7.7
4	35,796	2535.9	− 2485	50.9	× 755 / 5462	7
5	35,798	2570.8	− 2528	42.8	× 757 / 5462	5.9
6	35,800	2593.7	− 2552	41.7	× 884 / 5462	6.7
7	35,802	2615.1	− 2567	48.1	× 786 / 5462	6.9
8	35,804	2629.2	− 2586	43.2	× 890 / 5462	7
11	35,806	2668.7	− 2628	40.7	× 672 / 5462	5
Sum, rounded to a whole point						46

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,446	2502.8	− 2436	66.8	× 735 / 5607	8.8
4	33,449	2538.2	− 2485	53.2	× 744 / 5607	7.1
5	33,450	2565.6	− 2528	37.6	× 785 / 5607	5.3
6	33,453	2606.0	− 2552	54	× 797 / 5607	7.7
7	33,455	2622.9	− 2567	55.9	× 864 / 5607	8.6
8	33,457	2641.8	− 2586	55.8	× 794 / 5607	7.9
11	33,458	2657.5	− 2628	29.5	× 888 / 5607	4.7
Sum, rounded to a whole point						50

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,037	2498.4	− 2436	62.4	× 698 / 5670	7.7
4	34,039	2531.8	− 2485	46.8	× 771 / 5670	6.4
5	34,042	2566.3	− 2528	38.3	× 757 / 5670	5.1
6	34,044	2596.0	− 2552	44	× 838 / 5670	6.5
7	34,045	2624.8	− 2567	57.8	× 835 / 5670	8.5
8	34,048	2645.3	− 2586	59.3	× 863 / 5670	9
11	34,049	2676.6	− 2628	48.6	× 908 / 5670	7.8
Sum, rounded to a whole point						51

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,041	2494.8	− 2436	58.8	× 658 / 5754	6.7
4	34,043	2534.0	− 2485	49	× 728 / 5754	6.2
5	34,046	2565.7	− 2528	37.7	× 808 / 5754	5.3
6	34,047	2595.8	− 2552	43.8	× 864 / 5754	6.6
7	34,049	2619.1	− 2567	52.1	× 837 / 5754	7.6
8	34,051	2649.8	− 2586	63.8	× 840 / 5754	9.3
11	34,054	2657.0	− 2628	29	× 1019 / 5754	5.1
Sum, rounded to a whole point						47

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,211	2496.5	− 2436	60.5	× 747 / 5679	8
4	34,212	2539.3	− 2485	54.3	× 666 / 5679	6.4
5	34,213	2578.2	− 2528	50.2	× 753 / 5679	6.7
6	34,214	2601.7	− 2552	49.7	× 869 / 5679	7.6
7	34,215	2620.2	− 2567	53.2	× 886 / 5679	8.3
8	34,216	2637.6	− 2586	51.6	× 869 / 5679	7.9
11	34,217	2652.7	− 2628	24.7	× 889 / 5679	3.9
Sum, rounded to a whole point						49

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,124	2511.3	− 2436	75.3	× 683 / 5123	10
4	34,125	2547.6	− 2485	62.6	× 657 / 5123	8
5	34,126	2571.4	− 2528	43.4	× 691 / 5123	5.9
6	34,127	2592.3	− 2552	40.3	× 807 / 5123	6.3
7	34,128	2625.1	− 2567	58.1	× 715 / 5123	8.1
8	34,129	2637.7	− 2586	51.7	× 792 / 5123	8
11	34,130	2677.1	− 2628	49.1	× 778 / 5123	7.5
Sum, rounded to a whole point						54

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,175	2513.7	− 2436	77.7	× 668 / 5206	10
4	34,176	2561.9	− 2485	76.9	× 704 / 5206	10.4
5	34,177	2579.6	− 2528	51.6	× 695 / 5206	6.9
6	34,178	2603.4	− 2552	51.4	× 752 / 5206	7.4
7	34,179	2630.3	− 2567	63.3	× 793 / 5206	9.6
8	34,180	2646.8	− 2586	60.8	× 723 / 5206	8.4
11	34,181	2678.8	− 2628	50.8	× 871 / 5206	8.5
Sum, rounded to a whole point						61

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,031	2512.7	− 2436	76.7	× 676 / 5171	10
4	34,032	2560.3	− 2485	75.3	× 676 / 5171	9.8
5	34,033	2587.1	− 2528	59.1	× 730 / 5171	8.3
6	34,034	2607.9	− 2552	55.9	× 737 / 5171	8
7	34,035	2632.5	− 2567	65.5	× 737 / 5171	9.3
8	34,036	2645.8	− 2586	59.8	× 782 / 5171	9
11	34,037	2685.3	− 2628	57.3	× 833 / 5171	9.2
Sum, rounded to a whole point						64

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,894	2504.0	− 2436	68	× 678 / 5141	9
4	33,895	2557.8	− 2485	72.8	× 693 / 5141	9.8
5	33,896	2587.5	− 2528	59.5	× 700 / 5141	8.1
6	33,897	2613.5	− 2552	61.5	× 751 / 5141	9
7	33,898	2634.9	− 2567	67.9	× 744 / 5141	9.8
8	33,899	2650.0	− 2586	64	× 762 / 5141	9.5
11	33,900	2691.2	− 2628	63.2	× 813 / 5141	10
Sum, rounded to a whole point						65

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,906	2503.7	− 2436	67.7	× 674 / 5102	8.9
4	33,907	2554.6	− 2485	69.6	× 687 / 5102	9.4
5	33,908	2578.6	− 2528	50.6	× 707 / 5102	7
6	33,909	2613.3	− 2552	61.3	× 740 / 5102	8.9
7	33,910	2641.2	− 2567	74.2	× 744 / 5102	10.8
8	33,911	2653.7	− 2586	67.7	× 746 / 5102	9.9
11	33,912	2670.7	− 2628	42.7	× 804 / 5102	6.7
Sum, rounded to a whole point						62

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 46, 50, 51, 47, 49, 54, 61, 64, 65, 62 → 54.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 1 · 2017→2018: 4 · 2018→2019: 2 · 2019→2022: 5 · 2022→2023: 7 · 2023→2024: 3 · 2024→2025: 1 · 2025→2026: 3 → average 3.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.3 × 2.66 = 8.8. Upper limit 63.7, lower limit 46.1.

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 — 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.

Palos Verdes Peninsula Unified