Palomares Academy Of Health Science: 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	36,884	2475.7	− 2567	−91.3	× 83 / 276	−27.5
8	36,886	2452.6	− 2586	−133.4	× 147 / 276	−71.1
11	36,888	2503.6	− 2628	−124.4	× 46 / 276	−20.7
Sum, rounded to a whole point						−119

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,369	2495.4	− 2567	−71.6	× 86 / 230	−26.8
8	34,371	2485.4	− 2586	−100.6	× 82 / 230	−35.9
11	34,372	2530.4	− 2628	−97.6	× 62 / 230	−26.3
Sum, rounded to a whole point						−89

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,981	2470.6	− 2567	−96.4	× 99 / 233	−41
8	34,982	2496.5	− 2586	−89.5	× 89 / 233	−34.2
11	34,984	2506.7	− 2628	−121.3	× 45 / 233	−23.4
Sum, rounded to a whole point						−99

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	34,990	2485.2	− 2567	−81.8	× 107 / 275	−31.8
8	34,992	2456.2	− 2586	−129.8	× 109 / 275	−51.4
11	34,994	2527.8	− 2628	−100.2	× 59 / 275	−21.5
Sum, rounded to a whole point						−105

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	35,165	2463.9	− 2567	−103.1	× 103 / 241	−44.1
8	35,166	2489.8	− 2586	−96.2	× 107 / 241	−42.7
11	35,167	2586.7	− 2628	−41.3	× 31 / 241	−5.3
Sum, rounded to a whole point						−92

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	35,062	2501.6	− 2567	−65.4	× 21 / 196	−7
8	35,063	2447.2	− 2586	−138.8	× 121 / 196	−85.7
11	35,064	2513.1	− 2628	−114.9	× 54 / 196	−31.7
Sum, rounded to a whole point						−124

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −119, −89, −99, −105, −92, −124 → −104.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 30 · 2016→2017: 10 · 2017→2018: 6 · 2018→2019: 13 · 2019→2022: 32 → average 18.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.2 × 2.66 = 48.4. Upper limit −56.3, lower limit −153.1.

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.