John Reith 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	60,360	2415.9	− 2436	−20.1	× 91 / 345	−5.3
4	60,362	2413.7	− 2485	−71.3	× 80 / 345	−16.5
5	60,364	2431.4	− 2528	−96.6	× 87 / 345	−24.4
6	60,366	2451.5	− 2552	−100.5	× 87 / 345	−25.3
Sum, rounded to a whole point						−72

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,058	2398.3	− 2436	−37.7	× 76 / 327	−8.8
4	56,060	2439.1	− 2485	−45.9	× 85 / 327	−11.9
5	56,062	2431.3	− 2528	−96.7	× 80 / 327	−23.7
6	56,064	2455.6	− 2552	−96.4	× 86 / 327	−25.4
Sum, rounded to a whole point						−70

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,690	2411.8	− 2436	−24.2	× 75 / 313	−5.8
4	57,693	2427.3	− 2485	−57.7	× 71 / 313	−13.1
5	57,694	2463.3	− 2528	−64.7	× 89 / 313	−18.4
6	57,697	2484.4	− 2552	−67.6	× 78 / 313	−16.8
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,825	2401.0	− 2436	−35	× 70 / 308	−8
4	57,828	2433.7	− 2485	−51.3	× 76 / 308	−12.7
5	57,829	2453.0	− 2528	−75	× 74 / 308	−18
6	57,832	2477.0	− 2552	−75	× 88 / 308	−21.4
Sum, rounded to a whole point						−60

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,081	2398.1	− 2436	−37.9	× 70 / 292	−9.1
4	58,082	2445.4	− 2485	−39.6	× 62 / 292	−8.4
5	58,083	2448.2	− 2528	−79.8	× 79 / 292	−21.6
6	58,084	2462.8	− 2552	−89.2	× 81 / 292	−24.7
Sum, rounded to a whole point						−64

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,768	2350.7	− 2436	−85.3	× 69 / 244	−24.1
4	56,769	2407.1	− 2485	−77.9	× 59 / 244	−18.8
5	56,770	2424.4	− 2528	−103.6	× 65 / 244	−27.6
6	56,771	2466.4	− 2552	−85.6	× 51 / 244	−17.9
Sum, rounded to a whole point						−88

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,122	2390.8	− 2436	−45.2	× 67 / 256	−11.8
4	58,123	2427.0	− 2485	−58	× 65 / 256	−14.7
5	58,124	2405.8	− 2528	−122.2	× 68 / 256	−32.5
6	58,125	2457.5	− 2552	−94.5	× 56 / 256	−20.7
Sum, rounded to a whole point						−80

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,096	2376.1	− 2436	−59.9	× 81 / 286	−17
4	58,097	2418.6	− 2485	−66.4	× 77 / 286	−17.9
5	58,098	2408.2	− 2528	−119.8	× 68 / 286	−28.5
6	58,099	2466.8	− 2552	−85.2	× 60 / 286	−17.9
Sum, rounded to a whole point						−81

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,993	2364.9	− 2436	−71.1	× 82 / 310	−18.8
4	57,994	2409.0	− 2485	−76	× 85 / 310	−20.8
5	57,995	2406.2	− 2528	−121.8	× 82 / 310	−32.2
6	57,996	2432.8	− 2552	−119.2	× 61 / 310	−23.5
Sum, rounded to a whole point						−95

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,752	2372.4	− 2436	−63.6	× 83 / 337	−15.7
4	57,753	2420.4	− 2485	−64.6	× 83 / 337	−15.9
5	57,754	2417.4	− 2528	−110.6	× 90 / 337	−29.5
6	57,755	2473.6	− 2552	−78.4	× 81 / 337	−18.8
Sum, rounded to a whole point						−80

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −72, −70, −54, −60, −64, −88, −80, −81, −95, −80 → −74.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 16 · 2017→2018: 6 · 2018→2019: 4 · 2019→2021: 24 · 2021→2022: 8 · 2022→2023: 1 · 2023→2024: 14 · 2024→2025: 15 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −47.8, lower limit −101.

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.