Mt. 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. 2509 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2522 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2558 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2569 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	31,304	2486.5	− 2436	50.5	× 72 / 185	19.7
4	31,305	2521.7	− 2485	36.7	× 53 / 185	10.5
5	31,308	2531.3	− 2528	3.3	× 47 / 185	0.8
6	31,309	2515.8	− 2552	−36.2	× 13 / 185	−2.5
Sum, rounded to a whole point						28

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	29,520	2472.5	− 2436	36.5	× 69 / 197	12.8
4	29,521	2532.8	− 2485	47.8	× 67 / 197	16.3
5	29,523	2554.8	− 2528	26.8	× 42 / 197	5.7
6	29,525	2538.6	− 2552	−13.4	× 19 / 197	−1.3
Sum, rounded to a whole point						33

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,084	2484.6	− 2436	48.6	× 59 / 209	13.7
4	30,087	2502.8	− 2485	17.8	× 64 / 209	5.5
5	30,088	2563.9	− 2528	35.9	× 57 / 209	9.8
6	30,091	2596.1	− 2552	44.1	× 29 / 209	6.1
Sum, rounded to a whole point						35

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,133	2473.0	− 2436	37	× 68 / 202	12.5
4	30,135	2532.0	− 2485	47	× 58 / 202	13.5
5	30,137	2533.2	− 2528	5.2	× 64 / 202	1.6
6	30,139	2563.1	− 2552	11.1	× 12 / 202	0.7
Sum, rounded to a whole point						28

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,308	2480.4	− 2436	44.4	× 74 / 213	15.4
4	30,309	2512.8	− 2485	27.8	× 69 / 213	9
5	30,310	2549.8	− 2528	21.8	× 54 / 213	5.5
6	30,311	2569.6	− 2552	17.6	× 16 / 213	1.3
Sum, rounded to a whole point						31

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,337	2497.6	− 2436	61.6	× 82 / 211	23.9
4	30,338	2536.0	− 2485	51	× 52 / 211	12.6
5	30,339	2567.3	− 2528	39.3	× 47 / 211	8.8
6	30,340	2591.3	− 2552	39.3	× 30 / 211	5.6
Sum, rounded to a whole point						51

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,396	2496.3	− 2436	60.3	× 61 / 216	17
4	30,397	2530.3	− 2485	45.3	× 75 / 216	15.7
5	30,398	2539.7	− 2528	11.7	× 50 / 216	2.7
6	30,399	2572.1	− 2552	20.1	× 30 / 216	2.8
Sum, rounded to a whole point						38

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,264	2476.8	− 2436	40.8	× 55 / 198	11.3
4	30,265	2516.6	− 2485	31.6	× 54 / 198	8.6
5	30,266	2563.4	− 2528	35.4	× 73 / 198	13.1
6	30,267	2551.2	− 2552	−0.8	× 16 / 198	−0.1
Sum, rounded to a whole point						33

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,125	2487.9	− 2436	51.9	× 67 / 192	18.1
4	30,126	2522.1	− 2485	37.1	× 55 / 192	10.6
5	30,127	2560.3	− 2528	32.3	× 46 / 192	7.7
6	30,128	2593.4	− 2552	41.4	× 24 / 192	5.2
Sum, rounded to a whole point						42

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,111	2508.5	− 2436	72.5	× 55 / 193	20.7
4	30,112	2522.2	− 2485	37.2	× 65 / 193	12.5
5	30,113	2558.3	− 2528	30.3	× 52 / 193	8.2
6	30,114	2569.4	− 2552	17.4	× 21 / 193	1.9
Sum, rounded to a whole point						43

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 28, 33, 35, 28, 31, 51, 38, 33, 42, 43 → 36.2
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: 2 · 2017→2018: 7 · 2018→2019: 3 · 2019→2022: 20 · 2022→2023: 13 · 2023→2024: 5 · 2024→2025: 9 · 2025→2026: 1 → average 7.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.2 × 2.66 = 19.2. Upper limit 55.4, lower limit 17.

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.