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 scores 51 points under the grade 3 bar. 2385 vs. 2436.
4th The average 4th grader scores 42 points under the grade 3 bar. 2394 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores just under the grade 3 bar. 2435 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 45 points under the grade 4 bar. 2441 vs. 2485. 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	101,812	2364.5	− 2436	−71.5	× 48 / 171	−20.1
4	101,813	2399.1	− 2485	−85.9	× 41 / 171	−20.6
5	101,816	2430.9	− 2528	−97.1	× 43 / 171	−24.4
6	101,817	2445.0	− 2552	−107	× 39 / 171	−24.4
Sum, rounded to a whole point						−89

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,523	2360.1	− 2436	−75.9	× 32 / 155	−15.7
4	94,526	2392.5	− 2485	−92.5	× 43 / 155	−25.7
5	94,528	2414.2	− 2528	−113.8	× 43 / 155	−31.6
6	94,529	2444.2	− 2552	−107.8	× 37 / 155	−25.7
Sum, rounded to a whole point						−99

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,305	2365.7	− 2436	−70.3	× 43 / 153	−19.8
4	97,307	2390.8	− 2485	−94.2	× 31 / 153	−19.1
5	97,308	2402.2	− 2528	−125.8	× 43 / 153	−35.4
6	97,311	2416.8	− 2552	−135.2	× 36 / 153	−31.8
Sum, rounded to a whole point						−106

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,484	2362.8	− 2436	−73.2	× 40 / 157	−18.6
4	97,485	2423.7	− 2485	−61.3	× 46 / 157	−18
5	97,488	2421.5	− 2528	−106.5	× 27 / 157	−18.3
6	97,489	2425.5	− 2552	−126.5	× 44 / 157	−35.5
Sum, rounded to a whole point						−90

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,136	2357.1	− 2436	−78.9	× 45 / 153	−23.2
4	98,137	2432.2	− 2485	−52.8	× 32 / 153	−11
5	98,138	2446.5	− 2528	−81.5	× 46 / 153	−24.5
6	98,139	2434.1	− 2552	−117.9	× 30 / 153	−23.1
Sum, rounded to a whole point						−82

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	96,005	2384.6	− 2528	−143.4	× 30 / 49	−87.8
6	96,006	2391.5	− 2552	−160.5	× 19 / 49	−62.2
Sum, rounded to a whole point						−150

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,336	2376.8	− 2436	−59.2	× 40 / 153	−15.5
4	98,337	2388.2	− 2485	−96.8	× 34 / 153	−21.5
5	98,338	2409.1	− 2528	−118.9	× 35 / 153	−27.2
6	98,339	2426.0	− 2552	−126	× 44 / 153	−36.2
Sum, rounded to a whole point						−100

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,179	2346.6	− 2436	−89.4	× 40 / 139	−25.7
4	98,180	2392.8	− 2485	−92.2	× 40 / 139	−26.5
5	98,181	2412.4	− 2528	−115.6	× 26 / 139	−21.6
6	98,182	2403.0	− 2552	−149	× 33 / 139	−35.4
Sum, rounded to a whole point						−109

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,086	2339.6	− 2436	−96.4	× 48 / 151	−30.6
4	98,087	2377.9	− 2485	−107.1	× 38 / 151	−27
5	98,088	2433.7	− 2528	−94.3	× 40 / 151	−25
6	98,089	2400.9	− 2552	−151.1	× 25 / 151	−25
Sum, rounded to a whole point						−108

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,783	2368.2	− 2436	−67.8	× 43 / 178	−16.4
4	97,784	2394.0	− 2485	−91	× 52 / 178	−26.6
5	97,785	2416.3	− 2528	−111.7	× 39 / 178	−24.5
6	97,786	2466.5	− 2552	−85.5	× 44 / 178	−21.1
Sum, rounded to a whole point						−89

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,411	2385.1	− 2436	−50.9	× 29 / 147	−10
4	97,412	2394.3	− 2485	−90.7	× 36 / 147	−22.2
5	97,413	2435.2	− 2528	−92.8	× 48 / 147	−30.3
6	97,414	2440.5	− 2552	−111.5	× 34 / 147	−25.8
Sum, rounded to a whole point						−88

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −89, −99, −106, −90, −82, −150, −100, −109, −108, −89, −88 → −100.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 7 · 2017→2018: 16 · 2018→2019: 8 · 2019→2021: 68 · 2021→2022: 50 · 2022→2023: 9 · 2023→2024: 1 · 2024→2025: 19 · 2025→2026: 1 → average 18.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.9 × 2.66 = 50.3. Upper limit −50.6, lower limit −151.2.

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.