Scandia 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 5.

3rd The average 3rd grader scores 39 points under the grade 3 bar. 2397 vs. 2436.
4th The average 4th grader scores 16 points under the grade 4 bar. 2469 vs. 2485.
5th The average 5th grader scores 13 points under the grade 4 bar. 2472 vs. 2485. The 5th-grade bar is 2528.

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	93,285	2446.4	− 2436	10.4	× 78 / 274	3
4	93,286	2502.3	− 2485	17.3	× 79 / 274	5
5	93,289	2508.8	− 2528	−19.2	× 63 / 274	−4.4
6	93,290	2560.1	− 2552	8.1	× 54 / 274	1.6
Sum, rounded to a whole point						5

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,683	2435.8	− 2436	−0.2	× 86 / 296	−0.1
4	86,686	2501.2	− 2485	16.2	× 80 / 296	4.4
5	86,688	2518.4	− 2528	−9.6	× 70 / 296	−2.3
6	86,690	2540.7	− 2552	−11.3	× 60 / 296	−2.3
Sum, rounded to a whole point						0

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,089	2451.8	− 2436	15.8	× 83 / 296	4.4
4	89,090	2477.8	− 2485	−7.2	× 73 / 296	−1.8
5	89,093	2525.8	− 2528	−2.2	× 75 / 296	−0.6
6	89,095	2573.7	− 2552	21.7	× 65 / 296	4.8
Sum, rounded to a whole point						7

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,303	2446.8	− 2436	10.8	× 60 / 254	2.6
4	89,304	2492.8	− 2485	7.8	× 64 / 254	2
5	89,307	2498.6	− 2528	−29.4	× 65 / 254	−7.5
6	89,308	2559.0	− 2552	7	× 65 / 254	1.8
Sum, rounded to a whole point						−1

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,914	2414.1	− 2436	−21.9	× 74 / 260	−6.2
4	89,915	2485.9	− 2485	0.9	× 55 / 260	0.2
5	89,916	2507.7	− 2528	−20.3	× 65 / 260	−5.1
6	89,917	2521.9	− 2552	−30.1	× 66 / 260	−7.6
Sum, rounded to a whole point						−19

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,186	2410.8	− 2436	−25.2	× 79 / 260	−7.7
4	90,187	2480.6	− 2485	−4.4	× 63 / 260	−1.1
5	90,188	2485.1	− 2528	−42.9	× 62 / 260	−10.2
6	90,189	2519.9	− 2552	−32.1	× 56 / 260	−6.9
Sum, rounded to a whole point						−26

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,076	2405.8	− 2436	−30.2	× 67 / 246	−8.2
4	90,077	2467.0	− 2485	−18	× 64 / 246	−4.7
5	90,078	2490.8	− 2528	−37.2	× 53 / 246	−8
6	90,079	2533.7	− 2552	−18.3	× 62 / 246	−4.6
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,023	2398.1	− 2436	−37.9	× 66 / 243	−10.3
4	90,024	2471.4	− 2485	−13.6	× 60 / 243	−3.4
5	90,025	2482.8	− 2528	−45.2	× 64 / 243	−11.9
6	90,026	2542.6	− 2552	−9.4	× 53 / 243	−2.1
Sum, rounded to a whole point						−28

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,711	2416.0	− 2436	−20	× 75 / 246	−6.1
4	89,712	2457.9	− 2485	−27.1	× 55 / 246	−6.1
5	89,713	2484.8	− 2528	−43.2	× 61 / 246	−10.7
6	89,714	2540.1	− 2552	−11.9	× 55 / 246	−2.7
Sum, rounded to a whole point						−26

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,407	2396.8	− 2436	−39.2	× 52 / 168	−12.1
4	89,408	2469.3	− 2485	−15.7	× 66 / 168	−6.2
5	89,409	2472.0	− 2528	−56	× 50 / 168	−16.7
Sum, rounded to a whole point						−35

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 5, 0, 7, −1, −19, −26, −26, −28, −26, −35 → −14.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 7 · 2017→2018: 8 · 2018→2019: 18 · 2019→2022: 7 · 2022→2023: 0 · 2023→2024: 2 · 2024→2025: 2 · 2025→2026: 9 → average 6.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.4 × 2.66 = 17. Upper limit 2.1, 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 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.