Matt Garcia Career And College Academy: 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
7	93,004	2451.3	− 2567	−115.7	× 16 / 55	−33.7
8	93,005	2448.6	− 2586	−137.4	× 18 / 55	−45
11	93,008	2434.0	− 2628	−194	× 21 / 55	−74.1
Sum, rounded to a whole point						−153

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,420	2440.8	− 2552	−111.2	× 25 / 81	−34.3
7	86,422	2447.7	− 2567	−119.3	× 23 / 81	−33.9
8	86,423	2522.9	− 2586	−63.1	× 18 / 81	−14
11	86,426	2448.3	− 2628	−179.7	× 15 / 81	−33.3
Sum, rounded to a whole point						−115

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,786	2512.9	− 2552	−39.1	× 29 / 73	−15.5
7	88,788	2463.5	− 2567	−103.5	× 28 / 73	−39.7
8	88,790	2540.5	− 2586	−45.5	× 16 / 73	−10
Sum, rounded to a whole point						−65

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	89,006	2455.4	− 2552	−96.6	× 83 / 178	−45
7	89,009	2486.6	− 2567	−80.4	× 49 / 178	−22.1
8	89,010	2437.5	− 2586	−148.5	× 46 / 178	−38.4
Sum, rounded to a whole point						−106

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	89,614	2458.7	− 2552	−93.3	× 35 / 151	−21.6
7	89,615	2454.6	− 2567	−112.4	× 67 / 151	−49.9
8	89,616	2464.0	− 2586	−122	× 49 / 151	−39.6
Sum, rounded to a whole point						−111

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	89,861	2428.2	− 2552	−123.8	× 60 / 173	−42.9
7	89,862	2471.6	− 2567	−95.4	× 57 / 173	−31.4
8	89,863	2454.7	− 2586	−131.3	× 56 / 173	−42.5
Sum, rounded to a whole point						−117

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	89,753	2446.0	− 2552	−106	× 53 / 171	−32.9
7	89,754	2452.0	− 2567	−115	× 64 / 171	−43
8	89,755	2454.4	− 2586	−131.6	× 54 / 171	−41.6
Sum, rounded to a whole point						−117

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	89,710	2437.1	− 2552	−114.9	× 67 / 199	−38.7
7	89,711	2464.8	− 2567	−102.2	× 64 / 199	−32.9
8	89,712	2450.6	− 2586	−135.4	× 68 / 199	−46.3
Sum, rounded to a whole point						−118

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −153, −115, −65, −106, −111, −117, −117, −118 → −112.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 38 · 2016→2017: 50 · 2017→2018: 41 · 2018→2019: 5 · 2019→2022: 6 · 2022→2023: 0 · 2023→2024: 1 → average 20.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 20.1 × 2.66 = 53.5. Upper limit −59.3, lower limit −166.3.

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.