Northcoast Preparatory and Performing Arts 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

6th The average 6th grader meets the grade 6 bar. 2580 vs. 2552.
7th The average 7th grader scores 14 points under the grade 7 bar. 2554 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2596 vs. 2586.
11th The average 11th grader meets the grade 11 bar. 2687 vs. 2628.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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.

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,724	2552.8	− 2552	0.8	× 21 / 89	0.2
7	12,725	2566.5	− 2567	−0.5	× 22 / 89	−0.1
8	12,728	2536.8	− 2586	−49.2	× 21 / 89	−11.6
11	12,729	2669.4	− 2628	41.4	× 25 / 89	11.6
Sum, rounded to a whole point						0

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,741	2563.5	− 2552	11.5	× 26 / 101	3
7	12,744	2531.6	− 2567	−35.4	× 24 / 101	−8.4
8	12,745	2582.3	− 2586	−3.7	× 24 / 101	−0.9
11	12,748	2638.0	− 2628	10	× 27 / 101	2.7
Sum, rounded to a whole point						−4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,849	2570.9	− 2552	18.9	× 25 / 103	4.6
7	12,850	2565.0	− 2567	−2	× 26 / 103	−0.5
8	12,851	2539.6	− 2586	−46.4	× 24 / 103	−10.8
11	12,852	2606.9	− 2628	−21.1	× 28 / 103	−5.7
Sum, rounded to a whole point						−12

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,681	2523.7	− 2552	−28.3	× 24 / 83	−8.2
7	12,682	2580.3	− 2567	13.3	× 24 / 83	3.8
8	12,683	2571.5	− 2586	−14.5	× 22 / 83	−3.8
11	12,684	2651.6	− 2628	23.6	× 13 / 83	3.7
Sum, rounded to a whole point						−4

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,866	2554.0	− 2552	2	× 24 / 90	0.5
7	12,867	2532.3	− 2567	−34.7	× 21 / 90	−8.1
8	12,868	2561.5	− 2586	−24.5	× 24 / 90	−6.5
11	12,869	2625.9	− 2628	−2.1	× 21 / 90	−0.5
Sum, rounded to a whole point						−15

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,847	2524.7	− 2552	−27.3	× 26 / 77	−9.2
7	12,848	2573.7	− 2567	6.7	× 25 / 77	2.2
8	12,849	2539.3	− 2586	−46.7	× 26 / 77	−15.8
Sum, rounded to a whole point						−23

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,802	2556.3	− 2552	4.3	× 22 / 88	1.1
7	12,803	2553.7	− 2567	−13.3	× 25 / 88	−3.8
8	12,804	2583.4	− 2586	−2.6	× 24 / 88	−0.7
11	12,805	2598.5	− 2628	−29.5	× 17 / 88	−5.7
Sum, rounded to a whole point						−9

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,778	2517.6	− 2552	−34.4	× 16 / 77	−7.1
7	12,779	2610.0	− 2567	43	× 24 / 77	13.4
8	12,780	2567.1	− 2586	−18.9	× 21 / 77	−5.2
11	12,781	2627.3	− 2628	−0.7	× 16 / 77	−0.1
Sum, rounded to a whole point						1

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	12,796	2579.7	− 2552	27.7	× 18 / 68	7.3
7	12,797	2553.5	− 2567	−13.5	× 13 / 68	−2.6
8	12,798	2596.0	− 2586	10	× 26 / 68	3.8
11	12,799	2686.5	− 2628	58.5	× 11 / 68	9.5
Sum, rounded to a whole point						18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 0, −4, −12, −4, −15, −23, −9, 1, 18 → −5.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2017→2018: 4 · 2018→2019: 8 · 2019→2021: 8 · 2021→2022: 11 · 2022→2023: 8 · 2023→2024: 14 · 2024→2025: 10 · 2025→2026: 17 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit 21.3, lower limit −31.9.

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 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.