Garfield 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	40,689	2433.8	− 2436	−2.2	× 71 / 449	−0.3
4	40,692	2458.1	− 2485	−26.9	× 74 / 449	−4.4
5	40,693	2505.1	− 2528	−22.9	× 75 / 449	−3.8
6	40,696	2517.7	− 2552	−34.3	× 70 / 449	−5.3
7	40,697	2539.7	− 2567	−27.3	× 77 / 449	−4.7
8	40,700	2564.9	− 2586	−21.1	× 82 / 449	−3.9
Sum, rounded to a whole point						−22

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,640	2424.1	− 2436	−11.9	× 48 / 419	−1.4
4	37,643	2480.3	− 2485	−4.7	× 71 / 419	−0.8
5	37,644	2498.5	− 2528	−29.5	× 69 / 419	−4.9
6	37,647	2525.5	− 2552	−26.5	× 80 / 419	−5.1
7	37,648	2561.5	− 2567	−5.5	× 71 / 419	−0.9
8	37,650	2575.9	− 2586	−10.1	× 80 / 419	−1.9
Sum, rounded to a whole point						−15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,496	2446.7	− 2436	10.7	× 67 / 409	1.8
4	38,499	2506.5	− 2485	21.5	× 54 / 409	2.8
5	38,500	2518.2	− 2528	−9.8	× 68 / 409	−1.6
6	38,503	2529.0	− 2552	−23	× 73 / 409	−4.1
7	38,504	2582.3	− 2567	15.3	× 79 / 409	3
8	38,506	2567.7	− 2586	−18.3	× 68 / 409	−3
Sum, rounded to a whole point						−1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,472	2422.3	− 2436	−13.7	× 69 / 408	−2.3
4	38,474	2509.4	− 2485	24.4	× 64 / 408	3.8
5	38,476	2523.0	− 2528	−5	× 57 / 408	−0.7
6	38,478	2543.4	− 2552	−8.6	× 64 / 408	−1.3
7	38,480	2572.2	− 2567	5.2	× 76 / 408	1
8	38,482	2618.0	− 2586	32	× 78 / 408	6.1
Sum, rounded to a whole point						7

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,672	2447.3	− 2436	11.3	× 55 / 370	1.7
4	38,673	2494.3	− 2485	9.3	× 63 / 370	1.6
5	38,674	2544.3	− 2528	16.3	× 59 / 370	2.6
6	38,675	2585.4	− 2552	33.4	× 62 / 370	5.6
7	38,676	2581.7	− 2567	14.7	× 64 / 370	2.5
8	38,677	2596.0	− 2586	10	× 67 / 370	1.8
Sum, rounded to a whole point						16

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,489	2463.3	− 2436	27.3	× 44 / 349	3.4
4	38,490	2450.6	− 2485	−34.4	× 42 / 349	−4.1
5	38,491	2492.3	− 2528	−35.7	× 67 / 349	−6.9
6	38,492	2534.7	− 2552	−17.3	× 63 / 349	−3.1
7	38,493	2536.5	− 2567	−30.5	× 73 / 349	−6.4
8	38,494	2579.6	− 2586	−6.4	× 60 / 349	−1.1
Sum, rounded to a whole point						−18

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,548	2427.8	− 2436	−8.2	× 69 / 360	−1.6
4	38,549	2502.0	− 2485	17	× 48 / 360	2.3
5	38,550	2464.3	− 2528	−63.7	× 51 / 360	−9
6	38,551	2550.2	− 2552	−1.8	× 61 / 360	−0.3
7	38,552	2577.4	− 2567	10.4	× 67 / 360	1.9
8	38,553	2550.6	− 2586	−35.4	× 64 / 360	−6.3
Sum, rounded to a whole point						−13

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,382	2426.1	− 2436	−9.9	× 55 / 366	−1.5
4	38,383	2474.7	− 2485	−10.3	× 72 / 366	−2
5	38,384	2502.4	− 2528	−25.6	× 48 / 366	−3.4
6	38,385	2493.4	− 2552	−58.6	× 52 / 366	−8.3
7	38,386	2563.0	− 2567	−4	× 69 / 366	−0.8
8	38,387	2590.6	− 2586	4.6	× 70 / 366	0.9
Sum, rounded to a whole point						−15

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,161	2418.2	− 2436	−17.8	× 58 / 353	−2.9
4	38,162	2486.5	− 2485	1.5	× 60 / 353	0.3
5	38,163	2488.5	− 2528	−39.5	× 70 / 353	−7.8
6	38,164	2552.6	− 2552	0.6	× 52 / 353	0.1
7	38,165	2534.4	− 2567	−32.6	× 47 / 353	−4.3
8	38,166	2599.7	− 2586	13.7	× 66 / 353	2.6
Sum, rounded to a whole point						−12

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −22, −15, −1, 7, 16, −18, −13, −15, −12 → −8.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 14 · 2017→2018: 8 · 2018→2019: 9 · 2019→2022: 34 · 2022→2023: 5 · 2023→2024: 2 · 2024→2025: 3 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit 19.3, lower limit −35.5.

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.