Home Gardens Academy: 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	55,867	2402.7	− 2436	−33.3	× 105 / 542	−6.5
4	55,868	2434.3	− 2485	−50.7	× 95 / 542	−8.9
5	55,871	2475.6	− 2528	−52.4	× 83 / 542	−8
6	55,872	2494.2	− 2552	−57.8	× 93 / 542	−9.9
7	55,875	2494.4	− 2567	−72.6	× 82 / 542	−11
8	55,876	2494.0	− 2586	−92	× 84 / 542	−14.3
Sum, rounded to a whole point						−59

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,866	2431.8	− 2436	−4.2	× 118 / 563	−0.9
4	51,867	2446.8	− 2485	−38.2	× 104 / 563	−7.1
5	51,869	2482.8	− 2528	−45.2	× 89 / 563	−7.1
6	51,871	2521.4	− 2552	−30.6	× 86 / 563	−4.7
7	51,873	2499.7	− 2567	−67.3	× 83 / 563	−9.9
8	51,876	2506.3	− 2586	−79.7	× 83 / 563	−11.7
Sum, rounded to a whole point						−41

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,389	2432.5	− 2436	−3.5	× 103 / 575	−0.6
4	53,390	2453.5	− 2485	−31.5	× 120 / 575	−6.6
5	53,393	2486.1	− 2528	−41.9	× 99 / 575	−7.2
6	53,395	2500.8	− 2552	−51.2	× 89 / 575	−7.9
7	53,396	2498.2	− 2567	−68.8	× 76 / 575	−9.1
8	53,399	2497.7	− 2586	−88.3	× 88 / 575	−13.5
Sum, rounded to a whole point						−45

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,477	2411.7	− 2436	−24.3	× 107 / 574	−4.5
4	53,480	2449.6	− 2485	−35.4	× 105 / 574	−6.5
5	53,481	2487.9	− 2528	−40.1	× 119 / 574	−8.3
6	53,484	2500.1	− 2552	−51.9	× 99 / 574	−9
7	53,485	2502.9	− 2567	−64.1	× 74 / 574	−8.3
8	53,488	2501.3	− 2586	−84.7	× 70 / 574	−10.3
Sum, rounded to a whole point						−47

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,715	2431.1	− 2436	−4.9	× 111 / 584	−0.9
4	53,716	2467.5	− 2485	−17.5	× 99 / 584	−3
5	53,717	2487.0	− 2528	−41	× 102 / 584	−7.2
6	53,718	2516.5	− 2552	−35.5	× 118 / 584	−7.2
7	53,719	2509.0	− 2567	−58	× 80 / 584	−7.9
8	53,720	2534.1	− 2586	−51.9	× 74 / 584	−6.6
Sum, rounded to a whole point						−33

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,771	2380.9	− 2436	−55.1	× 122 / 640	−10.5
4	53,772	2435.5	− 2485	−49.5	× 116 / 640	−9
5	53,773	2472.7	− 2528	−55.3	× 112 / 640	−9.7
6	53,774	2489.1	− 2552	−62.9	× 101 / 640	−9.9
7	53,775	2503.3	− 2567	−63.7	× 95 / 640	−9.5
8	53,776	2480.1	− 2586	−105.9	× 94 / 640	−15.6
Sum, rounded to a whole point						−64

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,722	2391.1	− 2436	−44.9	× 102 / 621	−7.4
4	53,723	2421.3	− 2485	−63.7	× 116 / 621	−11.9
5	53,724	2459.8	− 2528	−68.2	× 113 / 621	−12.4
6	53,725	2483.9	− 2552	−68.1	× 110 / 621	−12.1
7	53,726	2495.2	− 2567	−71.8	× 88 / 621	−10.2
8	53,727	2488.9	− 2586	−97.1	× 92 / 621	−14.4
Sum, rounded to a whole point						−68

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,580	2381.5	− 2436	−54.5	× 101 / 625	−8.8
4	53,581	2415.0	− 2485	−70	× 105 / 625	−11.8
5	53,582	2454.1	− 2528	−73.9	× 116 / 625	−13.7
6	53,583	2477.4	− 2552	−74.6	× 111 / 625	−13.2
7	53,584	2488.9	− 2567	−78.1	× 105 / 625	−13.1
8	53,585	2506.1	− 2586	−79.9	× 87 / 625	−11.1
Sum, rounded to a whole point						−72

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,318	2370.8	− 2436	−65.2	× 113 / 622	−11.8
4	53,319	2414.0	− 2485	−71	× 99 / 622	−11.3
5	53,320	2436.2	− 2528	−91.8	× 102 / 622	−15.1
6	53,321	2491.6	− 2552	−60.4	× 112 / 622	−10.9
7	53,322	2470.7	− 2567	−96.3	× 98 / 622	−15.2
8	53,323	2512.2	− 2586	−73.8	× 98 / 622	−11.6
Sum, rounded to a whole point						−76

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −59, −41, −45, −47, −33, −64, −68, −72, −76 → −56.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 4 · 2017→2018: 2 · 2018→2019: 14 · 2019→2022: 31 · 2022→2023: 4 · 2023→2024: 4 · 2024→2025: 4 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit −29.2, lower limit −83.

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.