Zamora 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 6.

3rd The average 3rd grader meets the grade 3 bar. 2437 vs. 2436.
4th The average 4th grader scores 19 points under the grade 4 bar. 2466 vs. 2485.
5th The average 5th grader scores 21 points under the grade 5 bar. 2507 vs. 2528.
6th The average 6th grader scores 26 points under the grade 5 bar. 2502 vs. 2528. The 6th-grade bar is 2552.

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	105,720	2391.7	− 2436	−44.3	× 83 / 318	−11.6
4	105,721	2472.6	− 2485	−12.4	× 90 / 318	−3.5
5	105,724	2541.5	− 2528	13.5	× 63 / 318	2.7
6	105,725	2519.3	− 2552	−32.7	× 82 / 318	−8.4
Sum, rounded to a whole point						−21

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,231	2427.8	− 2436	−8.2	× 74 / 296	−2.1
4	98,234	2479.9	− 2485	−5.1	× 79 / 296	−1.4
5	98,236	2516.5	− 2528	−11.5	× 82 / 296	−3.2
6	98,238	2561.1	− 2552	9.1	× 61 / 296	1.9
Sum, rounded to a whole point						−5

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,098	2435.7	− 2436	−0.3	× 53 / 272	−0.1
4	101,101	2497.4	− 2485	12.4	× 68 / 272	3.1
5	101,103	2514.5	− 2528	−13.5	× 72 / 272	−3.6
6	101,104	2537.1	− 2552	−14.9	× 79 / 272	−4.3
Sum, rounded to a whole point						−5

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,252	2462.8	− 2436	26.8	× 53 / 247	5.8
4	101,253	2506.7	− 2485	21.7	× 53 / 247	4.7
5	101,256	2536.0	− 2528	8	× 68 / 247	2.2
6	101,257	2541.6	− 2552	−10.4	× 73 / 247	−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
3	101,911	2476.6	− 2436	40.6	× 70 / 258	11
4	101,912	2526.0	− 2485	41	× 62 / 258	9.9
5	101,913	2556.4	− 2528	28.4	× 56 / 258	6.2
6	101,914	2547.7	− 2552	−4.3	× 70 / 258	−1.2
Sum, rounded to a whole point						26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,192	2467.0	− 2436	31	× 44 / 192	7.1
4	102,193	2493.8	− 2485	8.8	× 41 / 192	1.9
5	102,194	2533.9	− 2528	5.9	× 47 / 192	1.4
6	102,195	2526.1	− 2552	−25.9	× 60 / 192	−8.1
Sum, rounded to a whole point						2

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,006	2454.3	− 2436	18.3	× 44 / 176	4.6
4	102,007	2516.7	− 2485	31.7	× 43 / 176	7.7
5	102,008	2525.9	− 2528	−2.1	× 40 / 176	−0.5
6	102,009	2521.3	− 2552	−30.7	× 49 / 176	−8.5
Sum, rounded to a whole point						3

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,899	2472.1	− 2436	36.1	× 45 / 174	9.3
4	101,900	2490.6	− 2485	5.6	× 48 / 174	1.5
5	101,901	2497.9	− 2528	−30.1	× 42 / 174	−7.3
6	101,902	2512.8	− 2552	−39.2	× 39 / 174	−8.8
Sum, rounded to a whole point						−5

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,561	2453.0	− 2436	17	× 55 / 186	5
4	101,562	2521.7	− 2485	36.7	× 42 / 186	8.3
5	101,563	2490.6	− 2528	−37.4	× 49 / 186	−9.9
6	101,564	2537.1	− 2552	−14.9	× 40 / 186	−3.2
Sum, rounded to a whole point						0

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,218	2436.8	− 2436	0.8	× 45 / 196	0.2
4	101,219	2465.9	− 2485	−19.1	× 58 / 196	−5.7
5	101,220	2506.7	− 2528	−21.3	× 45 / 196	−4.9
6	101,221	2501.7	− 2552	−50.3	× 48 / 196	−12.3
Sum, rounded to a whole point						−23

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −21, −5, −5, 10, 26, 2, 3, −5, 0, −23 → −1.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 16 · 2016→2017: 0 · 2017→2018: 15 · 2018→2019: 16 · 2019→2022: 24 · 2022→2023: 1 · 2023→2024: 8 · 2024→2025: 5 · 2025→2026: 23 → average 12
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12 × 2.66 = 31.9. Upper limit 30.1, lower limit −33.7.

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.