Felix J. Appleby 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	57,772	2401.3	− 2436	−34.7	× 94 / 425	−7.7
4	57,774	2427.2	− 2485	−57.8	× 80 / 425	−10.9
5	57,776	2425.7	− 2528	−102.3	× 85 / 425	−20.5
6	57,778	2429.5	− 2552	−122.5	× 89 / 425	−25.7
7	57,780	2531.2	− 2567	−35.8	× 77 / 425	−6.5
Sum, rounded to a whole point						−71

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,626	2428.9	− 2436	−7.1	× 78 / 503	−1.1
4	53,627	2416.2	− 2485	−68.8	× 94 / 503	−12.9
5	53,630	2441.2	− 2528	−86.8	× 84 / 503	−14.5
6	53,631	2435.2	− 2552	−116.8	× 77 / 503	−17.9
7	53,633	2475.7	− 2567	−91.3	× 82 / 503	−14.9
8	53,635	2456.5	− 2586	−129.5	× 88 / 503	−22.7
Sum, rounded to a whole point						−84

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,183	2425.9	− 2436	−10.1	× 73 / 472	−1.6
4	55,185	2438.7	− 2485	−46.3	× 79 / 472	−7.7
5	55,186	2443.0	− 2528	−85	× 92 / 472	−16.6
6	55,188	2479.1	− 2552	−72.9	× 83 / 472	−12.8
7	55,191	2483.2	− 2567	−83.8	× 70 / 472	−12.4
8	55,192	2496.9	− 2586	−89.1	× 75 / 472	−14.2
Sum, rounded to a whole point						−65

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,278	2379.8	− 2436	−56.2	× 68 / 502	−7.6
4	55,280	2427.1	− 2485	−57.9	× 80 / 502	−9.2
5	55,282	2462.7	− 2528	−65.3	× 93 / 502	−12.1
6	55,284	2463.4	− 2552	−88.6	× 93 / 502	−16.4
7	55,286	2484.3	− 2567	−82.7	× 98 / 502	−16.1
8	55,288	2501.4	− 2586	−84.6	× 70 / 502	−11.8
Sum, rounded to a whole point						−73

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,539	2401.8	− 2436	−34.2	× 75 / 469	−5.5
4	55,540	2411.8	− 2485	−73.2	× 66 / 469	−10.3
5	55,541	2517.5	− 2528	−10.5	× 72 / 469	−1.6
6	55,542	2479.2	− 2552	−72.8	× 76 / 469	−11.8
7	55,543	2491.7	− 2567	−75.3	× 90 / 469	−14.4
8	55,544	2546.3	− 2586	−39.7	× 90 / 469	−7.6
Sum, rounded to a whole point						−51

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,593	2382.9	− 2436	−53.1	× 67 / 398	−8.9
4	55,594	2394.0	− 2485	−91	× 67 / 398	−15.3
5	55,595	2414.7	− 2528	−113.3	× 77 / 398	−21.9
6	55,596	2435.4	− 2552	−116.6	× 69 / 398	−20.2
7	55,597	2468.9	− 2567	−98.1	× 59 / 398	−14.5
8	55,598	2513.1	− 2586	−72.9	× 59 / 398	−10.8
Sum, rounded to a whole point						−92

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,542	2374.8	− 2436	−61.2	× 72 / 413	−10.7
4	55,543	2432.1	− 2485	−52.9	× 61 / 413	−7.8
5	55,544	2373.1	− 2528	−154.9	× 77 / 413	−28.9
6	55,545	2415.9	− 2552	−136.1	× 75 / 413	−24.7
7	55,546	2445.7	− 2567	−121.3	× 67 / 413	−19.7
8	55,547	2457.4	− 2586	−128.6	× 61 / 413	−19
Sum, rounded to a whole point						−111

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,418	2377.2	− 2436	−58.8	× 63 / 379	−9.8
4	55,419	2414.4	− 2485	−70.6	× 67 / 379	−12.5
5	55,420	2432.1	− 2528	−95.9	× 61 / 379	−15.4
6	55,421	2425.2	− 2552	−126.8	× 65 / 379	−21.7
7	55,422	2448.0	− 2567	−119	× 61 / 379	−19.2
8	55,423	2473.2	− 2586	−112.8	× 62 / 379	−18.5
Sum, rounded to a whole point						−97

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,170	2398.2	− 2436	−37.8	× 62 / 373	−6.3
4	55,171	2377.5	− 2485	−107.5	× 65 / 373	−18.7
5	55,172	2395.3	− 2528	−132.7	× 73 / 373	−26
6	55,173	2422.4	− 2552	−129.6	× 64 / 373	−22.2
7	55,174	2456.1	− 2567	−110.9	× 57 / 373	−16.9
8	55,175	2462.1	− 2586	−123.9	× 52 / 373	−17.3
Sum, rounded to a whole point						−107

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −71, −84, −65, −73, −51, −92, −111, −97, −107 → −83.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 19 · 2017→2018: 8 · 2018→2019: 22 · 2019→2022: 41 · 2022→2023: 19 · 2023→2024: 14 · 2024→2025: 10 → average 18.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.3 × 2.66 = 48.7. Upper limit −34.7, lower limit −132.1.

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