Altamont Elementary: 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	81,442	2432.2	− 2436	−3.8	× 83 / 391	−0.8
4	81,444	2488.9	− 2485	3.9	× 63 / 391	0.6
5	81,446	2528.2	− 2528	0.2	× 73 / 391	0
6	81,448	2557.8	− 2552	5.8	× 64 / 391	0.9
7	81,450	2562.4	− 2567	−4.6	× 60 / 391	−0.7
8	81,452	2563.5	− 2586	−22.5	× 48 / 391	−2.8
Sum, rounded to a whole point						−3

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,495	2444.1	− 2436	8.1	× 86 / 427	1.6
4	75,497	2494.9	− 2485	9.9	× 84 / 427	1.9
5	75,498	2527.3	− 2528	−0.7	× 61 / 427	−0.1
6	75,500	2568.2	− 2552	16.2	× 77 / 427	2.9
7	75,502	2569.0	− 2567	2	× 62 / 427	0.3
8	75,504	2570.0	− 2586	−16	× 57 / 427	−2.1
Sum, rounded to a whole point						5

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,509	2474.7	− 2436	38.7	× 89 / 496	6.9
4	77,512	2488.9	− 2485	3.9	× 93 / 496	0.7
5	77,514	2532.6	− 2528	4.6	× 93 / 496	0.9
6	77,516	2574.4	− 2552	22.4	× 62 / 496	2.8
7	77,517	2580.2	− 2567	13.2	× 94 / 496	2.5
8	77,519	2589.8	− 2586	3.8	× 65 / 496	0.5
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,692	2465.6	− 2436	29.6	× 93 / 585	4.7
4	77,695	2499.5	− 2485	14.5	× 97 / 585	2.4
5	77,696	2538.6	− 2528	10.6	× 126 / 585	2.3
6	77,699	2553.2	− 2552	1.2	× 94 / 585	0.2
7	77,700	2575.9	− 2567	8.9	× 81 / 585	1.2
8	77,703	2597.3	− 2586	11.3	× 94 / 585	1.8
Sum, rounded to a whole point						13

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,215	2486.7	− 2436	50.7	× 90 / 502	9.1
4	78,216	2503.9	− 2485	18.9	× 78 / 502	2.9
5	78,217	2545.7	− 2528	17.7	× 89 / 502	3.1
6	78,218	2581.5	− 2552	29.5	× 97 / 502	5.7
7	78,219	2562.8	− 2567	−4.2	× 82 / 502	−0.7
8	78,220	2599.6	− 2586	13.6	× 66 / 502	1.8
Sum, rounded to a whole point						22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,361	2483.2	− 2436	47.2	× 72 / 439	7.7
4	78,362	2534.2	− 2485	49.2	× 64 / 439	7.2
5	78,363	2558.6	− 2528	30.6	× 87 / 439	6.1
6	78,364	2591.0	− 2552	39	× 80 / 439	7.1
7	78,365	2609.1	− 2567	42.1	× 56 / 439	5.4
8	78,366	2609.1	− 2586	23.1	× 80 / 439	4.2
Sum, rounded to a whole point						38

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,353	2490.3	− 2436	54.3	× 71 / 489	7.9
4	78,354	2539.9	− 2485	54.9	× 69 / 489	7.7
5	78,355	2577.9	− 2528	49.9	× 70 / 489	7.1
6	78,356	2589.1	− 2552	37.1	× 96 / 489	7.3
7	78,357	2622.0	− 2567	55	× 95 / 489	10.7
8	78,358	2620.9	− 2586	34.9	× 88 / 489	6.3
Sum, rounded to a whole point						47

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,369	2472.8	− 2436	36.8	× 49 / 427	4.2
4	78,370	2545.0	− 2485	60	× 67 / 427	9.4
5	78,371	2546.4	− 2528	18.4	× 65 / 427	2.8
6	78,372	2577.3	− 2552	25.3	× 87 / 427	5.2
7	78,373	2596.2	− 2567	29.2	× 79 / 427	5.4
8	78,374	2629.5	− 2586	43.5	× 80 / 427	8.1
Sum, rounded to a whole point						35

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,037	2457.9	− 2436	21.9	× 47 / 429	2.4
4	78,038	2534.7	− 2485	49.7	× 65 / 429	7.5
5	78,039	2569.0	− 2528	41	× 63 / 429	6
6	78,040	2556.8	− 2552	4.8	× 64 / 429	0.7
7	78,041	2606.2	− 2567	39.2	× 95 / 429	8.7
8	78,042	2630.4	− 2586	44.4	× 95 / 429	9.8
Sum, rounded to a whole point						35

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −3, 5, 14, 13, 22, 38, 47, 35, 35 → 22.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 9 · 2017→2018: 1 · 2018→2019: 9 · 2019→2022: 16 · 2022→2023: 9 · 2023→2024: 12 · 2024→2025: 0 → average 8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8 × 2.66 = 21.3. Upper limit 44.2, lower limit 1.6.

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.