Homan 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	10,717	2350.0	− 2436	−86	× 84 / 294	−24.6
4	10,718	2404.0	− 2485	−81	× 78 / 294	−21.5
5	10,721	2395.1	− 2528	−132.9	× 66 / 294	−29.8
6	10,722	2390.5	− 2552	−161.5	× 66 / 294	−36.3
Sum, rounded to a whole point						−112

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	9,734	2375.8	− 2436	−60.2	× 83 / 291	−17.2
4	9,736	2397.9	− 2485	−87.1	× 88 / 291	−26.3
5	9,739	2410.0	− 2528	−118	× 69 / 291	−28
6	9,741	2429.0	− 2552	−123	× 51 / 291	−21.6
Sum, rounded to a whole point						−93

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,063	2369.6	− 2436	−66.4	× 71 / 292	−16.1
4	10,065	2404.8	− 2485	−80.2	× 84 / 292	−23.1
5	10,067	2457.7	− 2528	−70.3	× 88 / 292	−21.2
6	10,068	2474.7	− 2552	−77.3	× 49 / 292	−13
Sum, rounded to a whole point						−73

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,080	2399.7	− 2436	−36.3	× 80 / 315	−9.2
4	10,083	2422.1	− 2485	−62.9	× 75 / 315	−15
5	10,084	2462.3	− 2528	−65.7	× 79 / 315	−16.5
6	10,087	2467.2	− 2552	−84.8	× 81 / 315	−21.8
Sum, rounded to a whole point						−62

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,161	2395.8	− 2436	−40.2	× 102 / 333	−12.3
4	10,162	2438.6	− 2485	−46.4	× 81 / 333	−11.3
5	10,163	2452.9	− 2528	−75.1	× 76 / 333	−17.1
6	10,164	2507.4	− 2552	−44.6	× 74 / 333	−9.9
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	10,154	2367.2	− 2436	−68.8	× 86 / 326	−18.1
4	10,155	2408.7	− 2485	−76.3	× 81 / 326	−19
5	10,156	2428.2	− 2528	−99.8	× 82 / 326	−25.1
6	10,157	2444.1	− 2552	−107.9	× 77 / 326	−25.5
Sum, rounded to a whole point						−88

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,142	2374.5	− 2436	−61.5	× 81 / 302	−16.5
4	10,143	2434.9	− 2485	−50.1	× 79 / 302	−13.1
5	10,144	2436.8	− 2528	−91.2	× 78 / 302	−23.6
6	10,145	2437.7	− 2552	−114.3	× 64 / 302	−24.2
Sum, rounded to a whole point						−77

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,108	2400.1	− 2436	−35.9	× 64 / 289	−8
4	10,109	2431.8	− 2485	−53.2	× 78 / 289	−14.4
5	10,110	2472.4	− 2528	−55.6	× 79 / 289	−15.2
6	10,111	2429.5	− 2552	−122.5	× 68 / 289	−28.8
Sum, rounded to a whole point						−66

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,085	2376.5	− 2436	−59.5	× 67 / 262	−15.2
4	10,086	2449.1	− 2485	−35.9	× 52 / 262	−7.1
5	10,087	2466.9	− 2528	−61.1	× 80 / 262	−18.7
6	10,088	2503.7	− 2552	−48.3	× 63 / 262	−11.6
Sum, rounded to a whole point						−53

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −112, −93, −73, −62, −51, −88, −77, −66, −53 → −75
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 20 · 2017→2018: 11 · 2018→2019: 11 · 2019→2022: 37 · 2022→2023: 11 · 2023→2024: 11 · 2024→2025: 13 → average 16.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.6 × 2.66 = 44.2. Upper limit −30.8, lower limit −119.2.

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.