Public Safety 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
5	93,011	2501.4	− 2528	−26.6	× 102 / 439	−6.2
6	93,014	2559.6	− 2552	7.6	× 95 / 439	1.6
7	93,015	2571.9	− 2567	4.9	× 121 / 439	1.4
8	93,018	2602.7	− 2586	16.7	× 121 / 439	4.6
Sum, rounded to a whole point						1

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	86,429	2539.7	− 2528	11.7	× 100 / 453	2.6
6	86,432	2572.6	− 2552	20.6	× 102 / 453	4.6
7	86,433	2588.4	− 2567	21.4	× 98 / 453	4.6
8	86,436	2614.1	− 2586	28.1	× 111 / 453	6.9
11	86,437	2671.3	− 2628	43.3	× 42 / 453	4
Sum, rounded to a whole point						23

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	88,796	2538.5	− 2528	10.5	× 100 / 447	2.3
6	88,797	2581.3	− 2552	29.3	× 101 / 447	6.6
7	88,799	2580.2	− 2567	13.2	× 98 / 447	2.9
8	88,802	2623.3	− 2586	37.3	× 98 / 447	8.2
11	88,803	2588.5	− 2628	−39.5	× 50 / 447	−4.4
Sum, rounded to a whole point						16

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,017	2560.8	− 2528	32.8	× 98 / 510	6.3
6	89,018	2554.7	− 2552	2.7	× 131 / 510	0.7
7	89,021	2572.8	− 2567	5.8	× 101 / 510	1.1
8	89,022	2613.0	− 2586	27	× 97 / 510	5.1
11	89,025	2609.2	− 2628	−18.8	× 83 / 510	−3.1
Sum, rounded to a whole point						10

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,625	2560.4	− 2528	32.4	× 99 / 503	6.4
6	89,626	2568.5	− 2552	16.5	× 120 / 503	3.9
7	89,627	2596.1	− 2567	29.1	× 128 / 503	7.4
8	89,628	2612.6	− 2586	26.6	× 98 / 503	5.2
11	89,629	2616.8	− 2628	−11.2	× 58 / 503	−1.3
Sum, rounded to a whole point						22

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	87,805	2605.8	− 2628	−22.2	× 58 / 58	−22.2
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,871	2506.6	− 2528	−21.4	× 73 / 500	−3.1
6	89,872	2564.1	− 2552	12.1	× 129 / 500	3.1
7	89,873	2587.5	− 2567	20.5	× 122 / 500	5
8	89,874	2612.7	− 2586	26.7	× 126 / 500	6.7
11	89,875	2647.4	− 2628	19.4	× 50 / 500	1.9
Sum, rounded to a whole point						14

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,763	2508.4	− 2528	−19.6	× 98 / 531	−3.6
6	89,764	2555.9	− 2552	3.9	× 121 / 531	0.9
7	89,765	2598.8	− 2567	31.8	× 125 / 531	7.5
8	89,766	2608.9	− 2586	22.9	× 125 / 531	5.4
11	89,767	2626.3	− 2628	−1.7	× 62 / 531	−0.2
Sum, rounded to a whole point						10

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,720	2521.7	− 2528	−6.3	× 85 / 510	−1.1
6	89,721	2555.4	− 2552	3.4	× 133 / 510	0.9
7	89,722	2584.0	− 2567	17	× 119 / 510	4
8	89,723	2609.4	− 2586	23.4	× 124 / 510	5.7
11	89,724	2658.4	− 2628	30.4	× 49 / 510	2.9
Sum, rounded to a whole point						12

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,416	2514.1	− 2528	−13.9	× 93 / 539	−2.4
6	89,417	2574.1	− 2552	22.1	× 127 / 539	5.2
7	89,418	2576.4	− 2567	9.4	× 129 / 539	2.2
8	89,419	2604.7	− 2586	18.7	× 120 / 539	4.2
11	89,420	2675.7	− 2628	47.7	× 70 / 539	6.2
Sum, rounded to a whole point						15

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 1, 23, 16, 10, 22, −22, 14, 10, 12, 15 → 10.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 22 · 2016→2017: 7 · 2017→2018: 6 · 2018→2019: 12 · 2019→2021: 44 · 2021→2022: 36 · 2022→2023: 4 · 2023→2024: 2 · 2024→2025: 3 → average 15.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.1 × 2.66 = 40.2. Upper limit 50.3, lower limit −30.1.

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.