Santa Monica-Malibu 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	37,107	2467.8	− 2436	31.8	× 808 / 5790	4.4
4	37,109	2510.8	− 2485	25.8	× 763 / 5790	3.4
5	37,111	2544.7	− 2528	16.7	× 852 / 5790	2.5
6	37,113	2550.5	− 2552	−1.5	× 860 / 5790	−0.2
7	37,115	2570.5	− 2567	3.5	× 804 / 5790	0.5
8	37,117	2588.0	− 2586	2	× 851 / 5790	0.3
11	37,119	2603.8	− 2628	−24.2	× 852 / 5790	−3.6
Sum, rounded to a whole point						7

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,548	2483.9	− 2436	47.9	× 801 / 5707	6.7
4	34,551	2526.5	− 2485	41.5	× 802 / 5707	5.8
5	34,553	2552.5	− 2528	24.5	× 746 / 5707	3.2
6	34,555	2554.1	− 2552	2.1	× 855 / 5707	0.3
7	34,556	2579.3	− 2567	12.3	× 864 / 5707	1.9
8	34,558	2591.8	− 2586	5.8	× 803 / 5707	0.8
11	34,561	2620.3	− 2628	−7.7	× 836 / 5707	−1.1
Sum, rounded to a whole point						18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,174	2485.5	− 2436	49.5	× 790 / 5600	7
4	35,177	2527.4	− 2485	42.4	× 804 / 5600	6.1
5	35,178	2564.4	− 2528	36.4	× 821 / 5600	5.3
6	35,181	2563.9	− 2552	11.9	× 782 / 5600	1.7
7	35,182	2582.6	− 2567	15.6	× 840 / 5600	2.3
8	35,184	2588.0	− 2586	2	× 771 / 5600	0.3
11	35,186	2621.5	− 2628	−6.5	× 792 / 5600	−0.9
Sum, rounded to a whole point						22

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,184	2475.5	− 2436	39.5	× 656 / 5497	4.7
4	35,186	2528.2	− 2485	43.2	× 802 / 5497	6.3
5	35,188	2563.3	− 2528	35.3	× 805 / 5497	5.2
6	35,190	2565.9	− 2552	13.9	× 816 / 5497	2.1
7	35,192	2577.5	− 2567	10.5	× 781 / 5497	1.5
8	35,194	2600.2	− 2586	14.2	× 826 / 5497	2.1
11	35,196	2623.6	− 2628	−4.4	× 811 / 5497	−0.6
Sum, rounded to a whole point						21

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,359	2477.9	− 2436	41.9	× 706 / 5298	5.6
4	35,360	2528.4	− 2485	43.4	× 660 / 5298	5.4
5	35,361	2563.5	− 2528	35.5	× 784 / 5298	5.3
6	35,362	2557.2	− 2552	5.2	× 820 / 5298	0.8
7	35,363	2576.4	− 2567	9.4	× 800 / 5298	1.4
8	35,364	2596.5	− 2586	10.5	× 781 / 5298	1.5
11	35,365	2646.3	− 2628	18.3	× 747 / 5298	2.6
Sum, rounded to a whole point						23

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	34,498	2645.1	− 2628	17.1	× 101 / 101	17.1
Sum, rounded to a whole point						17

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,254	2480.4	− 2436	44.4	× 619 / 4549	6
4	35,255	2511.5	− 2485	26.5	× 592 / 4549	3.4
5	35,256	2551.0	− 2528	23	× 641 / 4549	3.2
6	35,257	2549.7	− 2552	−2.3	× 659 / 4549	−0.3
7	35,258	2580.1	− 2567	13.1	× 622 / 4549	1.8
8	35,259	2594.8	− 2586	8.8	× 746 / 4549	1.4
11	35,260	2630.7	− 2628	2.7	× 670 / 4549	0.4
Sum, rounded to a whole point						16

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,277	2481.2	− 2436	45.2	× 593 / 4477	6
4	35,278	2516.6	− 2485	31.6	× 632 / 4477	4.5
5	35,279	2547.2	− 2528	19.2	× 596 / 4477	2.6
6	35,280	2555.5	− 2552	3.5	× 657 / 4477	0.5
7	35,281	2575.5	− 2567	8.5	× 659 / 4477	1.3
8	35,282	2590.1	− 2586	4.1	× 609 / 4477	0.6
11	35,283	2613.8	− 2628	−14.2	× 731 / 4477	−2.3
Sum, rounded to a whole point						13

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,131	2480.7	− 2436	44.7	× 537 / 4425	5.4
4	35,132	2523.1	− 2485	38.1	× 585 / 4425	5
5	35,133	2555.4	− 2528	27.4	× 635 / 4425	3.9
6	35,134	2555.7	− 2552	3.7	× 596 / 4425	0.5
7	35,135	2579.1	− 2567	12.1	× 674 / 4425	1.8
8	35,136	2592.2	− 2586	6.2	× 653 / 4425	0.9
11	35,137	2633.1	− 2628	5.1	× 745 / 4425	0.9
Sum, rounded to a whole point						19

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,984	2472.7	− 2436	36.7	× 541 / 4327	4.6
4	34,985	2519.1	− 2485	34.1	× 539 / 4327	4.2
5	34,986	2556.2	− 2528	28.2	× 580 / 4327	3.8
6	34,987	2565.3	− 2552	13.3	× 661 / 4327	2
7	34,988	2583.7	− 2567	16.7	× 610 / 4327	2.4
8	34,989	2594.5	− 2586	8.5	× 690 / 4327	1.4
11	34,990	2639.3	− 2628	11.3	× 706 / 4327	1.8
Sum, rounded to a whole point						20

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,978	2477.8	− 2436	41.8	× 547 / 4181	5.5
4	34,979	2518.5	− 2485	33.5	× 552 / 4181	4.4
5	34,980	2553.4	− 2528	25.4	× 558 / 4181	3.4
6	34,981	2567.7	− 2552	15.7	× 605 / 4181	2.3
7	34,982	2591.7	− 2567	24.7	× 654 / 4181	3.9
8	34,983	2606.8	− 2586	20.8	× 594 / 4181	3
11	34,984	2639.1	− 2628	11.1	× 671 / 4181	1.8
Sum, rounded to a whole point						24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 7, 18, 22, 21, 23, 17, 16, 13, 19, 20, 24 → 18.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 4 · 2017→2018: 1 · 2018→2019: 2 · 2019→2021: 6 · 2021→2022: 1 · 2022→2023: 3 · 2023→2024: 6 · 2024→2025: 1 · 2025→2026: 4 → average 3.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.9 × 2.66 = 10.4. Upper limit 28.6, lower limit 7.8.

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.

Santa Monica-Malibu Unified