Hoover 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	83,535	2400.1	− 2436	−35.9	× 99 / 524	−6.8
4	83,536	2419.2	− 2485	−65.8	× 95 / 524	−11.9
5	83,539	2449.3	− 2528	−78.7	× 82 / 524	−12.3
6	83,540	2491.3	− 2552	−60.7	× 83 / 524	−9.6
7	83,543	2517.3	− 2567	−49.7	× 91 / 524	−8.6
8	83,544	2528.9	− 2586	−57.1	× 74 / 524	−8.1
Sum, rounded to a whole point						−57

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,472	2406.2	− 2436	−29.8	× 74 / 505	−4.4
4	77,474	2437.0	− 2485	−48	× 93 / 505	−8.8
5	77,477	2446.0	− 2528	−82	× 92 / 505	−14.9
6	77,479	2488.1	− 2552	−63.9	× 74 / 505	−9.4
7	77,481	2551.8	− 2567	−15.2	× 84 / 505	−2.5
8	77,482	2522.3	− 2586	−63.7	× 88 / 505	−11.1
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,609	2413.3	− 2436	−22.7	× 82 / 480	−3.9
4	79,611	2413.7	− 2485	−71.3	× 77 / 480	−11.4
5	79,614	2435.8	− 2528	−92.2	× 93 / 480	−17.9
6	79,615	2502.0	− 2552	−50	× 74 / 480	−7.7
7	79,618	2549.0	− 2567	−18	× 73 / 480	−2.7
8	79,619	2535.5	− 2586	−50.5	× 81 / 480	−8.5
Sum, rounded to a whole point						−52

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,747	2431.9	− 2436	−4.1	× 75 / 471	−0.7
4	79,748	2450.9	− 2485	−34.1	× 80 / 471	−5.8
5	79,751	2452.6	− 2528	−75.4	× 70 / 471	−11.2
6	79,752	2516.0	− 2552	−36	× 92 / 471	−7
7	79,755	2559.7	− 2567	−7.3	× 83 / 471	−1.3
8	79,756	2551.5	− 2586	−34.5	× 71 / 471	−5.2
Sum, rounded to a whole point						−31

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,251	2423.8	− 2436	−12.2	× 63 / 447	−1.7
4	80,252	2439.2	− 2485	−45.8	× 73 / 447	−7.5
5	80,253	2464.4	− 2528	−63.6	× 79 / 447	−11.2
6	80,254	2492.5	− 2552	−59.5	× 62 / 447	−8.3
7	80,255	2538.1	− 2567	−28.9	× 89 / 447	−5.8
8	80,256	2542.4	− 2586	−43.6	× 81 / 447	−7.9
Sum, rounded to a whole point						−42

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,491	2389.0	− 2436	−47	× 82 / 458	−8.4
4	80,492	2370.1	− 2485	−114.9	× 76 / 458	−19.1
5	80,493	2420.2	− 2528	−107.8	× 75 / 458	−17.7
6	80,494	2460.6	− 2552	−91.4	× 64 / 458	−12.8
7	80,495	2455.5	− 2567	−111.5	× 78 / 458	−19
8	80,496	2488.3	− 2586	−97.7	× 83 / 458	−17.7
Sum, rounded to a whole point						−95

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,457	2365.8	− 2436	−70.2	× 72 / 409	−12.4
4	80,458	2407.1	− 2485	−77.9	× 78 / 409	−14.9
5	80,459	2419.6	− 2528	−108.4	× 78 / 409	−20.7
6	80,460	2480.3	− 2552	−71.7	× 62 / 409	−10.9
7	80,461	2453.4	− 2567	−113.6	× 59 / 409	−16.4
8	80,462	2487.2	− 2586	−98.8	× 60 / 409	−14.5
Sum, rounded to a whole point						−90

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,475	2377.2	− 2436	−58.8	× 69 / 420	−9.7
4	80,476	2367.7	− 2485	−117.3	× 72 / 420	−20.1
5	80,477	2427.2	− 2528	−100.8	× 83 / 420	−19.9
6	80,478	2391.3	− 2552	−160.7	× 75 / 420	−28.7
7	80,479	2439.2	− 2567	−127.8	× 63 / 420	−19.2
8	80,480	2459.3	− 2586	−126.7	× 58 / 420	−17.5
Sum, rounded to a whole point						−115

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,133	2363.3	− 2436	−72.7	× 67 / 449	−10.8
4	80,134	2412.1	− 2485	−72.9	× 67 / 449	−10.9
5	80,135	2413.0	− 2528	−115	× 81 / 449	−20.7
6	80,136	2418.3	− 2552	−133.7	× 89 / 449	−26.5
7	80,137	2435.9	− 2567	−131.1	× 80 / 449	−23.4
8	80,138	2475.3	− 2586	−110.7	× 65 / 449	−16
Sum, rounded to a whole point						−108

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −57, −51, −52, −31, −42, −95, −90, −115, −108 → −71.2
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: 21 · 2018→2019: 11 · 2019→2022: 53 · 2022→2023: 5 · 2023→2024: 25 · 2024→2025: 7 → average 16.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.1 × 2.66 = 42.8. Upper limit −28.4, lower limit −114.

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.