Jefferson 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	14,734	2376.7	− 2436	−59.3	× 106 / 388	−16.2
4	14,737	2392.5	− 2485	−92.5	× 89 / 388	−21.2
5	14,738	2416.3	− 2528	−111.7	× 99 / 388	−28.5
6	14,741	2444.0	− 2552	−108	× 94 / 388	−26.2
Sum, rounded to a whole point						−92

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,763	2383.0	− 2436	−53	× 111 / 398	−14.8
4	13,764	2423.2	− 2485	−61.8	× 99 / 398	−15.4
5	13,766	2409.3	− 2528	−118.7	× 84 / 398	−25.1
6	13,768	2442.1	− 2552	−109.9	× 104 / 398	−28.7
Sum, rounded to a whole point						−84

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,093	2386.4	− 2436	−49.6	× 99 / 405	−12.1
4	14,095	2439.7	− 2485	−45.3	× 106 / 405	−11.9
5	14,098	2455.8	− 2528	−72.2	× 104 / 405	−18.5
6	14,099	2437.2	− 2552	−114.8	× 96 / 405	−27.2
Sum, rounded to a whole point						−70

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,101	2376.4	− 2436	−59.6	× 109 / 415	−15.7
4	14,104	2450.2	− 2485	−34.8	× 98 / 415	−8.2
5	14,105	2460.8	− 2528	−67.2	× 100 / 415	−16.2
6	14,108	2474.1	− 2552	−77.9	× 108 / 415	−20.3
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	14,213	2394.7	− 2436	−41.3	× 124 / 452	−11.3
4	14,214	2433.7	− 2485	−51.3	× 103 / 452	−11.7
5	14,215	2469.2	− 2528	−58.8	× 107 / 452	−13.9
6	14,216	2462.9	− 2552	−89.1	× 118 / 452	−23.3
Sum, rounded to a whole point						−60

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,214	2367.2	− 2436	−68.8	× 72 / 370	−13.4
4	14,215	2427.7	− 2485	−57.3	× 90 / 370	−13.9
5	14,216	2414.2	− 2528	−113.8	× 99 / 370	−30.4
6	14,217	2456.6	− 2552	−95.4	× 109 / 370	−28.1
Sum, rounded to a whole point						−86

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,175	2362.6	− 2436	−73.4	× 95 / 379	−18.4
4	14,176	2432.6	− 2485	−52.4	× 90 / 379	−12.4
5	14,177	2458.3	− 2528	−69.7	× 91 / 379	−16.7
6	14,178	2442.9	− 2552	−109.1	× 103 / 379	−29.6
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	14,130	2366.7	− 2436	−69.3	× 95 / 394	−16.7
4	14,131	2416.0	− 2485	−69	× 102 / 394	−17.9
5	14,132	2430.1	− 2528	−97.9	× 94 / 394	−23.4
6	14,133	2450.6	− 2552	−101.4	× 103 / 394	−26.5
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,090	2382.5	− 2436	−53.5	× 94 / 398	−12.6
4	14,091	2420.2	− 2485	−64.8	× 102 / 398	−16.6
5	14,092	2424.9	− 2528	−103.1	× 102 / 398	−26.4
6	14,093	2465.2	− 2552	−86.8	× 100 / 398	−21.8
Sum, rounded to a whole point						−77

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −92, −84, −70, −60, −60, −86, −77, −84, −77 → −76.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 14 · 2017→2018: 10 · 2018→2019: 0 · 2019→2022: 26 · 2022→2023: 9 · 2023→2024: 7 · 2024→2025: 7 → 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 −49.8, lower limit −103.6.

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.