Alpine 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	24,812	2362.2	− 2436	−73.8	× 64 / 271	−17.4
4	24,813	2392.3	− 2485	−92.7	× 53 / 271	−18.1
5	24,816	2417.8	− 2528	−110.2	× 50 / 271	−20.3
6	24,817	2460.9	− 2552	−91.1	× 40 / 271	−13.4
7	24,820	2504.4	− 2567	−62.6	× 32 / 271	−7.4
8	24,821	2531.0	− 2586	−55	× 32 / 271	−6.5
Sum, rounded to a whole point						−83

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,108	2380.8	− 2436	−55.2	× 72 / 268	−14.8
4	23,109	2399.3	− 2485	−85.7	× 63 / 268	−20.1
5	23,111	2418.4	− 2528	−109.6	× 33 / 268	−13.5
6	23,113	2464.3	− 2552	−87.7	× 35 / 268	−11.5
7	23,115	2478.0	− 2567	−89	× 33 / 268	−11
8	23,117	2533.3	− 2586	−52.7	× 32 / 268	−6.3
Sum, rounded to a whole point						−77

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,558	2392.6	− 2436	−43.4	× 59 / 280	−9.1
4	23,560	2408.6	− 2485	−76.4	× 71 / 280	−19.4
5	23,562	2421.4	− 2528	−106.6	× 52 / 280	−19.8
6	23,563	2436.4	− 2552	−115.6	× 35 / 280	−14.5
7	23,565	2493.6	− 2567	−73.4	× 33 / 280	−8.7
8	23,568	2544.3	− 2586	−41.7	× 30 / 280	−4.5
Sum, rounded to a whole point						−76

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,578	2391.3	− 2436	−44.7	× 62 / 280	−9.9
4	23,580	2423.0	− 2485	−62	× 62 / 280	−13.7
5	23,582	2456.2	− 2528	−71.8	× 57 / 280	−14.6
6	23,584	2444.0	− 2552	−108	× 34 / 280	−13.1
7	23,586	2498.6	− 2567	−68.4	× 32 / 280	−7.8
8	23,588	2546.5	− 2586	−39.5	× 33 / 280	−4.7
Sum, rounded to a whole point						−64

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,752	2390.4	− 2436	−45.6	× 66 / 314	−9.6
4	23,753	2423.6	− 2485	−61.4	× 61 / 314	−11.9
5	23,754	2428.9	− 2528	−99.1	× 62 / 314	−19.6
6	23,755	2449.2	− 2552	−102.8	× 60 / 314	−19.6
7	23,756	2497.7	− 2567	−69.3	× 32 / 314	−7.1
8	23,757	2419.2	− 2586	−166.8	× 33 / 314	−17.5
Sum, rounded to a whole point						−85

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,695	2366.9	− 2436	−69.1	× 78 / 357	−15.1
4	23,696	2393.3	− 2485	−91.7	× 70 / 357	−18
5	23,697	2426.2	− 2528	−101.8	× 55 / 357	−15.7
6	23,698	2420.5	− 2552	−131.5	× 50 / 357	−18.4
7	23,699	2443.3	− 2567	−123.7	× 48 / 357	−16.6
8	23,700	2477.4	− 2586	−108.6	× 56 / 357	−17
Sum, rounded to a whole point						−101

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,658	2367.8	− 2436	−68.2	× 74 / 334	−15.1
4	23,659	2440.7	− 2485	−44.3	× 66 / 334	−8.8
5	23,660	2426.9	− 2528	−101.1	× 47 / 334	−14.2
6	23,661	2438.9	− 2552	−113.1	× 55 / 334	−18.6
7	23,662	2462.5	− 2567	−104.5	× 44 / 334	−13.8
8	23,663	2402.7	− 2586	−183.3	× 48 / 334	−26.3
Sum, rounded to a whole point						−97

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,510	2372.0	− 2436	−64	× 75 / 359	−13.4
4	23,511	2391.3	− 2485	−93.7	× 66 / 359	−17.2
5	23,512	2427.5	− 2528	−100.5	× 61 / 359	−17.1
6	23,513	2426.9	− 2552	−125.1	× 49 / 359	−17.1
7	23,514	2468.9	− 2567	−98.1	× 59 / 359	−16.1
8	23,515	2433.2	− 2586	−152.8	× 49 / 359	−20.9
Sum, rounded to a whole point						−102

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,411	2388.6	− 2436	−47.4	× 60 / 443	−6.4
4	23,412	2383.9	− 2485	−101.1	× 86 / 443	−19.6
5	23,413	2423.1	− 2528	−104.9	× 67 / 443	−15.9
6	23,414	2467.7	− 2552	−84.3	× 68 / 443	−12.9
7	23,415	2453.5	− 2567	−113.5	× 72 / 443	−18.4
8	23,416	2432.7	− 2586	−153.3	× 90 / 443	−31.1
Sum, rounded to a whole point						−104

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −83, −77, −76, −64, −85, −101, −97, −102, −104 → −87.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 1 · 2017→2018: 12 · 2018→2019: 21 · 2019→2022: 16 · 2022→2023: 4 · 2023→2024: 5 · 2024→2025: 2 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit −65.4, lower limit −110.

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.