Skyline North 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.

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 4.

3rd The average 3rd grader scores 66 points under the grade 3 bar. 2370 vs. 2436.
4th The average 4th grader scores 45 points under the grade 4 bar. 2440 vs. 2485.

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.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,650	2410.0	− 2436	−26	× 77 / 224	−8.9
4	64,653	2488.1	− 2485	3.1	× 62 / 224	0.9
5	64,654	2489.3	− 2528	−38.7	× 46 / 224	−7.9
6	64,657	2542.2	− 2552	−9.8	× 39 / 224	−1.7
Sum, rounded to a whole point						−18

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,970	2437.6	− 2436	1.6	× 69 / 245	0.5
4	59,971	2475.0	− 2485	−10	× 74 / 245	−3
5	59,973	2461.9	− 2528	−66.1	× 55 / 245	−14.8
6	59,975	2546.2	− 2552	−5.8	× 47 / 245	−1.1
Sum, rounded to a whole point						−19

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,700	2430.6	− 2436	−5.4	× 68 / 234	−1.6
4	61,701	2494.6	− 2485	9.6	× 61 / 234	2.5
5	61,703	2486.6	− 2528	−41.4	× 58 / 234	−10.3
6	61,706	2515.0	− 2552	−37	× 47 / 234	−7.4
Sum, rounded to a whole point						−17

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,792	2456.4	− 2436	20.4	× 58 / 228	5.2
4	61,794	2475.5	− 2485	−9.5	× 67 / 228	−2.8
5	61,796	2472.8	− 2528	−55.2	× 43 / 228	−10.4
6	61,798	2522.5	− 2552	−29.5	× 60 / 228	−7.8
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,061	2440.2	− 2436	4.2	× 52 / 237	0.9
4	62,062	2507.0	− 2485	22	× 56 / 237	5.2
5	62,063	2406.7	− 2528	−121.3	× 81 / 237	−41.5
6	62,064	2491.3	− 2552	−60.7	× 48 / 237	−12.3
Sum, rounded to a whole point						−48

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,682	2378.0	− 2436	−58	× 38 / 144	−15.3
4	60,683	2379.2	− 2485	−105.8	× 52 / 144	−38.2
5	60,684	2396.2	− 2528	−131.8	× 31 / 144	−28.4
6	60,685	2352.1	− 2552	−199.9	× 23 / 144	−31.9
Sum, rounded to a whole point						−114

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,150	2370.8	− 2436	−65.2	× 71 / 223	−20.8
4	62,151	2395.0	− 2485	−90	× 60 / 223	−24.2
5	62,152	2367.3	− 2528	−160.7	× 57 / 223	−41.1
6	62,153	2498.2	− 2552	−53.8	× 35 / 223	−8.4
Sum, rounded to a whole point						−94

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,088	2384.2	− 2436	−51.8	× 66 / 251	−13.6
4	62,089	2385.9	− 2485	−99.1	× 70 / 251	−27.6
5	62,090	2391.0	− 2528	−137	× 62 / 251	−33.8
6	62,091	2388.7	− 2552	−163.3	× 53 / 251	−34.5
Sum, rounded to a whole point						−110

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,036	2342.5	− 2436	−93.5	× 54 / 190	−26.6
4	62,037	2405.5	− 2485	−79.5	× 78 / 190	−32.6
5	62,038	2388.7	− 2528	−139.3	× 58 / 190	−42.5
Sum, rounded to a whole point						−102

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,794	2379.6	− 2436	−56.4	× 69 / 122	−31.9
4	61,795	2393.5	− 2485	−91.5	× 53 / 122	−39.8
Sum, rounded to a whole point						−72

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,769	2370.3	− 2436	−65.7	× 69 / 128	−35.4
4	61,770	2440.0	− 2485	−45	× 59 / 128	−20.7
Sum, rounded to a whole point						−56

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −18, −19, −17, −16, −48, −114, −94, −110, −102, −72, −56 → −60.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 2 · 2017→2018: 1 · 2018→2019: 32 · 2019→2021: 66 · 2021→2022: 20 · 2022→2023: 16 · 2023→2024: 8 · 2024→2025: 30 · 2025→2026: 16 → average 19.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 19.2 × 2.66 = 51.1. Upper limit −9.4, lower limit −111.6.

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.