Longfellow 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	39,043	2382.4	− 2436	−53.6	× 69 / 270	−13.7
4	39,045	2421.5	− 2485	−63.5	× 87 / 270	−20.5
5	39,047	2439.5	− 2528	−88.5	× 66 / 270	−21.6
6	39,049	2489.5	− 2552	−62.5	× 48 / 270	−11.1
Sum, rounded to a whole point						−67

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,220	2398.0	− 2436	−38	× 78 / 268	−11.1
4	36,223	2443.4	− 2485	−41.6	× 67 / 268	−10.4
5	36,225	2469.2	− 2528	−58.8	× 80 / 268	−17.6
6	36,227	2494.5	− 2552	−57.5	× 43 / 268	−9.2
Sum, rounded to a whole point						−48

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,976	2372.2	− 2436	−63.8	× 70 / 257	−17.4
4	36,978	2434.4	− 2485	−50.6	× 69 / 257	−13.6
5	36,980	2443.9	− 2528	−84.1	× 60 / 257	−19.6
6	36,982	2507.5	− 2552	−44.5	× 58 / 257	−10
Sum, rounded to a whole point						−61

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,943	2404.6	− 2436	−31.4	× 73 / 284	−8.1
4	36,945	2426.4	− 2485	−58.6	× 70 / 284	−14.4
5	36,947	2462.4	− 2528	−65.6	× 69 / 284	−15.9
6	36,949	2453.8	− 2552	−98.2	× 35 / 284	−12.1
7	36,951	2526.6	− 2567	−40.4	× 37 / 284	−5.3
Sum, rounded to a whole point						−56

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,138	2402.9	− 2436	−33.1	× 75 / 337	−7.4
4	37,139	2449.5	− 2485	−35.5	× 71 / 337	−7.5
5	37,140	2435.4	− 2528	−92.6	× 77 / 337	−21.2
6	37,141	2534.9	− 2552	−17.1	× 50 / 337	−2.5
7	37,142	2505.9	− 2567	−61.1	× 33 / 337	−6
8	37,143	2568.3	− 2586	−17.7	× 31 / 337	−1.6
Sum, rounded to a whole point						−46

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,057	2365.4	− 2436	−70.6	× 71 / 347	−14.4
4	37,058	2419.8	− 2485	−65.2	× 77 / 347	−14.5
5	37,059	2421.9	− 2528	−106.1	× 72 / 347	−22
6	37,060	2445.9	− 2552	−106.1	× 46 / 347	−14.1
7	37,061	2480.1	− 2567	−86.9	× 43 / 347	−10.8
8	37,062	2483.2	− 2586	−102.8	× 38 / 347	−11.3
Sum, rounded to a whole point						−87

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,090	2409.7	− 2436	−26.3	× 55 / 314	−4.6
4	37,091	2426.7	− 2485	−58.3	× 62 / 314	−11.5
5	37,092	2444.9	− 2528	−83.1	× 71 / 314	−18.8
6	37,093	2483.3	− 2552	−68.7	× 48 / 314	−10.5
7	37,094	2458.5	− 2567	−108.5	× 42 / 314	−14.5
8	37,095	2536.8	− 2586	−49.2	× 36 / 314	−5.6
Sum, rounded to a whole point						−66

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,940	2385.2	− 2436	−50.8	× 52 / 302	−8.7
4	36,941	2438.5	− 2485	−46.5	× 66 / 302	−10.2
5	36,942	2438.3	− 2528	−89.7	× 59 / 302	−17.5
6	36,943	2491.5	− 2552	−60.5	× 43 / 302	−8.6
7	36,944	2485.9	− 2567	−81.1	× 47 / 302	−12.6
8	36,945	2498.1	− 2586	−87.9	× 35 / 302	−10.2
Sum, rounded to a whole point						−68

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,775	2384.3	− 2436	−51.7	× 55 / 299	−9.5
4	36,776	2442.3	− 2485	−42.7	× 55 / 299	−7.9
5	36,777	2462.2	− 2528	−65.8	× 66 / 299	−14.5
6	36,778	2440.3	− 2552	−111.7	× 41 / 299	−15.3
7	36,779	2518.8	− 2567	−48.2	× 36 / 299	−5.8
8	36,780	2496.6	− 2586	−89.4	× 46 / 299	−13.8
Sum, rounded to a whole point						−67

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −67, −48, −61, −56, −46, −87, −66, −68, −67 → −62.9
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: 13 · 2017→2018: 5 · 2018→2019: 10 · 2019→2022: 41 · 2022→2023: 21 · 2023→2024: 2 · 2024→2025: 1 → average 14
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14 × 2.66 = 37.2. Upper limit −25.7, lower limit −100.1.

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.