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	80,826	2347.7	− 2436	−88.3	× 73 / 354	−18.2
4	80,827	2415.0	− 2485	−70	× 65 / 354	−12.9
5	80,830	2452.9	− 2528	−75.1	× 58 / 354	−12.3
6	80,831	2482.8	− 2552	−69.2	× 61 / 354	−11.9
7	80,834	2467.6	− 2567	−99.4	× 34 / 354	−9.5
8	80,835	2490.7	− 2586	−95.3	× 63 / 354	−17
Sum, rounded to a whole point						−82

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,926	2400.5	− 2436	−35.5	× 61 / 343	−6.3
4	74,928	2427.7	− 2485	−57.3	× 63 / 343	−10.5
5	74,931	2452.2	− 2528	−75.8	× 62 / 343	−13.7
6	74,933	2465.3	− 2552	−86.7	× 56 / 343	−14.2
7	74,935	2504.2	− 2567	−62.8	× 63 / 343	−11.5
8	74,937	2489.3	− 2586	−96.7	× 38 / 343	−10.7
Sum, rounded to a whole point						−67

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,936	2371.7	− 2436	−64.3	× 55 / 370	−9.6
4	76,937	2442.5	− 2485	−42.5	× 67 / 370	−7.7
5	76,940	2432.1	− 2528	−95.9	× 61 / 370	−15.8
6	76,942	2457.1	− 2552	−94.9	× 64 / 370	−16.4
7	76,943	2488.5	− 2567	−78.5	× 62 / 370	−13.2
8	76,946	2518.5	− 2586	−67.5	× 61 / 370	−11.1
Sum, rounded to a whole point						−74

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,125	2390.6	− 2436	−45.4	× 55 / 361	−6.9
4	77,126	2436.4	− 2485	−48.6	× 58 / 361	−7.8
5	77,129	2423.7	− 2528	−104.3	× 66 / 361	−19.1
6	77,130	2464.4	− 2552	−87.6	× 61 / 361	−14.8
7	77,133	2466.6	− 2567	−100.4	× 61 / 361	−17
8	77,134	2465.5	− 2586	−120.5	× 60 / 361	−20
Sum, rounded to a whole point						−86

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,647	2392.2	− 2436	−43.8	× 74 / 395	−8.2
4	77,648	2450.6	− 2485	−34.4	× 66 / 395	−5.7
5	77,649	2428.0	− 2528	−100	× 65 / 395	−16.5
6	77,650	2461.3	− 2552	−90.7	× 67 / 395	−15.4
7	77,651	2442.7	− 2567	−124.3	× 64 / 395	−20.1
8	77,652	2473.7	− 2586	−112.3	× 59 / 395	−16.8
Sum, rounded to a whole point						−83

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,797	2378.2	− 2436	−57.8	× 79 / 391	−11.7
4	77,798	2405.1	− 2485	−79.9	× 66 / 391	−13.5
5	77,799	2401.5	− 2528	−126.5	× 64 / 391	−20.7
6	77,800	2432.2	− 2552	−119.8	× 67 / 391	−20.5
7	77,801	2445.6	− 2567	−121.4	× 54 / 391	−16.8
8	77,802	2441.3	− 2586	−144.7	× 61 / 391	−22.6
Sum, rounded to a whole point						−106

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,789	2360.8	− 2436	−75.2	× 64 / 345	−14
4	77,790	2417.9	− 2485	−67.1	× 61 / 345	−11.9
5	77,791	2410.6	− 2528	−117.4	× 57 / 345	−19.4
6	77,792	2428.0	− 2552	−124	× 53 / 345	−19
7	77,793	2476.9	− 2567	−90.1	× 58 / 345	−15.1
8	77,794	2437.8	− 2586	−148.2	× 52 / 345	−22.3
Sum, rounded to a whole point						−102

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,807	2390.5	− 2436	−45.5	× 71 / 358	−9
4	77,808	2401.0	− 2485	−84	× 61 / 358	−14.3
5	77,809	2445.9	− 2528	−82.1	× 52 / 358	−11.9
6	77,810	2429.3	− 2552	−122.7	× 63 / 358	−21.6
7	77,811	2453.2	− 2567	−113.8	× 58 / 358	−18.4
8	77,812	2472.4	− 2586	−113.6	× 53 / 358	−16.8
Sum, rounded to a whole point						−92

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,469	2380.1	− 2436	−55.9	× 81 / 346	−13.1
4	77,470	2441.3	− 2485	−43.7	× 54 / 346	−6.8
5	77,471	2445.0	− 2528	−83	× 49 / 346	−11.8
6	77,472	2465.8	− 2552	−86.2	× 46 / 346	−11.5
7	77,473	2431.3	− 2567	−135.7	× 57 / 346	−22.4
8	77,474	2432.7	− 2586	−153.3	× 59 / 346	−26.1
Sum, rounded to a whole point						−92

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −82, −67, −74, −86, −83, −106, −102, −92, −92 → −87.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 7 · 2017→2018: 12 · 2018→2019: 3 · 2019→2022: 23 · 2022→2023: 4 · 2023→2024: 10 · 2024→2025: 0 → average 9.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.3 × 2.66 = 24.7. Upper limit −62.4, lower limit −111.8.

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.