Washington 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. 2504 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2498 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2557 vs. 2528.
6th The average 6th grader scores 19 points under the grade 6 bar. 2533 vs. 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	85,584	2472.2	− 2436	36.2	× 99 / 388	9.2
4	85,585	2505.9	− 2485	20.9	× 96 / 388	5.2
5	85,588	2517.6	− 2528	−10.4	× 97 / 388	−2.6
6	85,589	2582.7	− 2552	30.7	× 96 / 388	7.6
Sum, rounded to a whole point						19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,397	2501.2	− 2436	65.2	× 81 / 368	14.4
4	79,398	2523.7	− 2485	38.7	× 98 / 368	10.3
5	79,401	2546.9	− 2528	18.9	× 94 / 368	4.8
6	79,402	2545.2	− 2552	−6.8	× 95 / 368	−1.8
Sum, rounded to a whole point						28

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,566	2472.5	− 2436	36.5	× 97 / 380	9.3
4	81,567	2544.4	− 2485	59.4	× 89 / 380	13.9
5	81,569	2532.5	− 2528	4.5	× 103 / 380	1.2
6	81,572	2574.5	− 2552	22.5	× 91 / 380	5.4
Sum, rounded to a whole point						30

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,757	2479.1	− 2436	43.1	× 86 / 358	10.4
4	81,758	2527.7	− 2485	42.7	× 86 / 358	10.3
5	81,761	2568.7	− 2528	40.7	× 86 / 358	9.8
6	81,762	2577.0	− 2552	25	× 100 / 358	7
Sum, rounded to a whole point						37

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,276	2469.0	− 2436	33	× 87 / 358	8
4	82,277	2524.1	− 2485	39.1	× 99 / 358	10.8
5	82,278	2556.1	− 2528	28.1	× 88 / 358	6.9
6	82,279	2607.8	− 2552	55.8	× 84 / 358	13.1
Sum, rounded to a whole point						39

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,483	2476.1	− 2436	40.1	× 83 / 336	9.9
4	82,484	2469.4	− 2485	−15.6	× 78 / 336	−3.6
5	82,485	2529.7	− 2528	1.7	× 88 / 336	0.4
6	82,486	2506.8	− 2552	−45.2	× 87 / 336	−11.7
Sum, rounded to a whole point						−5

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,449	2449.9	− 2436	13.9	× 66 / 308	3
4	82,450	2497.6	− 2485	12.6	× 85 / 308	3.5
5	82,451	2487.3	− 2528	−40.7	× 72 / 308	−9.5
6	82,452	2531.4	− 2552	−20.6	× 85 / 308	−5.7
Sum, rounded to a whole point						−9

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,463	2506.4	− 2436	70.4	× 58 / 272	15
4	82,464	2488.9	− 2485	3.9	× 66 / 272	0.9
5	82,465	2521.4	− 2528	−6.6	× 83 / 272	−2
6	82,466	2513.4	− 2552	−38.6	× 65 / 272	−9.2
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	82,141	2458.4	− 2436	22.4	× 73 / 280	5.8
4	82,142	2549.3	− 2485	64.3	× 61 / 280	14
5	82,143	2510.6	− 2528	−17.4	× 68 / 280	−4.2
6	82,144	2539.0	− 2552	−13	× 78 / 280	−3.6
Sum, rounded to a whole point						12

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,051	2503.5	− 2436	67.5	× 75 / 281	18
4	82,052	2497.9	− 2485	12.9	× 77 / 281	3.5
5	82,053	2557.1	− 2528	29.1	× 61 / 281	6.3
6	82,054	2533.3	− 2552	−18.7	× 68 / 281	−4.5
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. 19, 28, 30, 37, 39, −5, −9, 5, 12, 23 → 17.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 2 · 2017→2018: 7 · 2018→2019: 2 · 2019→2022: 44 · 2022→2023: 4 · 2023→2024: 14 · 2024→2025: 7 · 2025→2026: 11 → average 11.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.1 × 2.66 = 29.5. Upper limit 47.4, lower limit −11.6.

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.