Larchmont Charter: math

The shaded band is this school'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	26,788	2486.2	− 2436	50.2	× 109 / 860	6.4
4	26,789	2528.1	− 2485	43.1	× 116 / 860	5.8
5	26,792	2550.7	− 2528	22.7	× 114 / 860	3
6	26,793	2559.9	− 2552	7.9	× 157 / 860	1.4
7	26,796	2585.9	− 2567	18.9	× 158 / 860	3.5
8	26,797	2587.8	− 2586	1.8	× 160 / 860	0.3
11	26,800	2571.6	− 2628	−56.4	× 46 / 860	−3
Sum, rounded to a whole point						17

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	24,909	2469.2	− 2436	33.2	× 113 / 794	4.7
4	24,912	2530.7	− 2485	45.7	× 108 / 794	6.2
5	24,913	2566.1	− 2528	38.1	× 117 / 794	5.6
6	24,916	2561.9	− 2552	9.9	× 100 / 794	1.2
7	24,917	2581.0	− 2567	14	× 155 / 794	2.7
8	24,919	2573.9	− 2586	−12.1	× 153 / 794	−2.3
11	24,921	2578.2	− 2628	−49.8	× 48 / 794	−3
Sum, rounded to a whole point						15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,407	2488.6	− 2436	52.6	× 112 / 795	7.4
4	25,409	2523.4	− 2485	38.4	× 116 / 795	5.6
5	25,411	2547.6	− 2528	19.6	× 117 / 795	2.9
6	25,413	2585.3	− 2552	33.3	× 120 / 795	5
7	25,415	2570.0	− 2567	3	× 101 / 795	0.4
8	25,416	2588.8	− 2586	2.8	× 150 / 795	0.5
11	25,418	2588.4	− 2628	−39.6	× 79 / 795	−3.9
Sum, rounded to a whole point						18

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,433	2493.2	− 2436	57.2	× 113 / 807	8
4	25,435	2547.4	− 2485	62.4	× 114 / 807	8.8
5	25,437	2531.5	− 2528	3.5	× 122 / 807	0.5
6	25,439	2570.7	− 2552	18.7	× 132 / 807	3.1
7	25,441	2583.1	− 2567	16.1	× 108 / 807	2.2
8	25,443	2589.0	− 2586	3	× 106 / 807	0.4
11	25,445	2604.2	− 2628	−23.8	× 112 / 807	−3.3
Sum, rounded to a whole point						20

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,599	2490.1	− 2436	54.1	× 110 / 781	7.6
4	25,600	2536.6	− 2485	51.6	× 112 / 781	7.4
5	25,601	2559.4	− 2528	31.4	× 119 / 781	4.8
6	25,602	2554.2	− 2552	2.2	× 125 / 781	0.4
7	25,603	2574.8	− 2567	7.8	× 117 / 781	1.2
8	25,604	2585.9	− 2586	−0.1	× 100 / 781	0
11	25,605	2622.0	− 2628	−6	× 98 / 781	−0.8
Sum, rounded to a whole point						21

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,542	2481.2	− 2436	45.2	× 109 / 806	6.1
4	25,543	2535.9	− 2485	50.9	× 107 / 806	6.8
5	25,544	2512.7	− 2528	−15.3	× 120 / 806	−2.3
6	25,545	2558.7	− 2552	6.7	× 127 / 806	1.1
7	25,546	2540.5	− 2567	−26.5	× 120 / 806	−3.9
8	25,547	2593.9	− 2586	7.9	× 125 / 806	1.2
11	25,548	2586.6	− 2628	−41.4	× 98 / 806	−5
Sum, rounded to a whole point						4

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,495	2493.9	− 2436	57.9	× 112 / 864	7.5
4	25,496	2539.6	− 2485	54.6	× 112 / 864	7.1
5	25,497	2528.7	− 2528	0.7	× 127 / 864	0.1
6	25,498	2581.1	− 2552	29.1	× 134 / 864	4.5
7	25,499	2589.5	− 2567	22.5	× 125 / 864	3.3
8	25,500	2542.1	− 2586	−43.9	× 128 / 864	−6.5
11	25,501	2619.3	− 2628	−8.7	× 126 / 864	−1.3
Sum, rounded to a whole point						15

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,347	2466.3	− 2436	30.3	× 111 / 867	3.9
4	25,348	2537.5	− 2485	52.5	× 110 / 867	6.7
5	25,349	2548.9	− 2528	20.9	× 120 / 867	2.9
6	25,350	2590.3	− 2552	38.3	× 130 / 867	5.7
7	25,351	2600.9	− 2567	33.9	× 134 / 867	5.2
8	25,352	2614.6	− 2586	28.6	× 131 / 867	4.3
11	25,353	2603.9	− 2628	−24.1	× 131 / 867	−3.6
Sum, rounded to a whole point						25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,236	2473.4	− 2436	37.4	× 112 / 937	4.5
4	25,237	2491.6	− 2485	6.6	× 124 / 937	0.9
5	25,238	2532.0	− 2528	4	× 153 / 937	0.7
6	25,239	2581.2	− 2552	29.2	× 144 / 937	4.5
7	25,240	2599.2	− 2567	32.2	× 137 / 937	4.7
8	25,241	2585.8	− 2586	−0.2	× 137 / 937	0
11	25,242	2646.3	− 2628	18.3	× 130 / 937	2.5
Sum, rounded to a whole point						18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 17, 15, 18, 20, 21, 4, 15, 25, 18 → 17
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 3 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 17 · 2022→2023: 11 · 2023→2024: 10 · 2024→2025: 7 → average 6.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.6 × 2.66 = 17.6. Upper limit 34.6, lower limit −0.6.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.