Greenleaf 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	2,485	2379.8	− 2436	−56.2	× 71 / 368	−10.8
4	2,487	2449.3	− 2485	−35.7	× 75 / 368	−7.3
5	2,489	2475.8	− 2528	−52.2	× 69 / 368	−9.8
6	2,491	2465.3	− 2552	−86.7	× 58 / 368	−13.7
7	2,493	2509.8	− 2567	−57.2	× 53 / 368	−8.2
8	2,495	2535.2	− 2586	−50.8	× 42 / 368	−5.8
Sum, rounded to a whole point						−56

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,169	2399.9	− 2436	−36.1	× 70 / 367	−6.9
4	2,170	2407.2	− 2485	−77.8	× 73 / 367	−15.5
5	2,173	2467.8	− 2528	−60.2	× 73 / 367	−12
6	2,174	2508.4	− 2552	−43.6	× 55 / 367	−6.5
7	2,177	2527.9	− 2567	−39.1	× 51 / 367	−5.4
8	2,179	2508.8	− 2586	−77.2	× 45 / 367	−9.5
Sum, rounded to a whole point						−56

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,228	2419.7	− 2436	−16.3	× 78 / 374	−3.4
4	2,230	2420.3	− 2485	−64.7	× 70 / 374	−12.1
5	2,233	2433.6	− 2528	−94.4	× 68 / 374	−17.2
6	2,234	2504.1	− 2552	−47.9	× 59 / 374	−7.6
7	2,236	2491.3	− 2567	−75.7	× 52 / 374	−10.5
8	2,238	2592.6	− 2586	6.6	× 47 / 374	0.8
Sum, rounded to a whole point						−50

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,218	2382.9	− 2436	−53.1	× 68 / 389	−9.3
4	2,220	2438.1	− 2485	−46.9	× 82 / 389	−9.9
5	2,222	2424.5	− 2528	−103.5	× 75 / 389	−20
6	2,224	2486.1	− 2552	−65.9	× 53 / 389	−9
7	2,226	2506.5	− 2567	−60.5	× 62 / 389	−9.6
8	2,228	2584.4	− 2586	−1.6	× 49 / 389	−0.2
Sum, rounded to a whole point						−58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,231	2392.3	− 2436	−43.7	× 73 / 392	−8.1
4	2,232	2431.9	− 2485	−53.1	× 74 / 392	−10
5	2,233	2451.1	− 2528	−76.9	× 78 / 392	−15.3
6	2,234	2441.9	− 2552	−110.1	× 64 / 392	−18
7	2,235	2507.0	− 2567	−60	× 45 / 392	−6.9
8	2,236	2509.0	− 2586	−77	× 58 / 392	−11.4
Sum, rounded to a whole point						−70

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,189	2384.2	− 2436	−51.8	× 63 / 363	−9
4	2,190	2389.8	− 2485	−95.2	× 64 / 363	−16.8
5	2,191	2419.1	− 2528	−108.9	× 70 / 363	−21
6	2,192	2467.1	− 2552	−84.9	× 58 / 363	−13.6
7	2,193	2472.4	− 2567	−94.6	× 52 / 363	−13.6
8	2,194	2453.3	− 2586	−132.7	× 56 / 363	−20.5
Sum, rounded to a whole point						−94

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,141	2366.7	− 2436	−69.3	× 63 / 374	−11.7
4	2,142	2411.6	− 2485	−73.4	× 66 / 374	−13
5	2,143	2436.8	− 2528	−91.2	× 67 / 374	−16.3
6	2,144	2437.3	− 2552	−114.7	× 60 / 374	−18.4
7	2,145	2501.5	− 2567	−65.5	× 60 / 374	−10.5
8	2,146	2450.8	− 2586	−135.2	× 58 / 374	−21
Sum, rounded to a whole point						−91

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,109	2357.8	− 2436	−78.2	× 66 / 378	−13.7
4	2,110	2376.9	− 2485	−108.1	× 63 / 378	−18
5	2,111	2421.7	− 2528	−106.3	× 70 / 378	−19.7
6	2,112	2489.8	− 2552	−62.2	× 60 / 378	−9.9
7	2,113	2462.0	− 2567	−105	× 61 / 378	−16.9
8	2,114	2501.6	− 2586	−84.4	× 58 / 378	−13
Sum, rounded to a whole point						−91

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	2,083	2378.4	− 2436	−57.6	× 70 / 381	−10.6
4	2,084	2389.9	− 2485	−95.1	× 71 / 381	−17.7
5	2,085	2402.9	− 2528	−125.1	× 64 / 381	−21
6	2,086	2463.6	− 2552	−88.4	× 59 / 381	−13.7
7	2,087	2497.4	− 2567	−69.6	× 58 / 381	−10.6
8	2,088	2451.1	− 2586	−134.9	× 59 / 381	−20.9
Sum, rounded to a whole point						−94

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −56, −56, −50, −58, −70, −94, −91, −91, −94 → −73.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 6 · 2017→2018: 8 · 2018→2019: 12 · 2019→2022: 24 · 2022→2023: 3 · 2023→2024: 0 · 2024→2025: 3 → average 7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7 × 2.66 = 18.6. Upper limit −54.7, lower limit −91.9.

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.