Morris K. Hamasaki 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.

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	31,785	2356.5	− 2436	−79.5	× 60 / 233	−20.5
4	31,787	2394.0	− 2485	−91	× 61 / 233	−23.8
5	31,789	2437.7	− 2528	−90.3	× 55 / 233	−21.3
6	31,791	2470.4	− 2552	−81.6	× 57 / 233	−20
Sum, rounded to a whole point						−86

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,002	2364.9	− 2436	−71.1	× 47 / 200	−16.7
4	30,003	2422.2	− 2485	−62.8	× 57 / 200	−17.9
5	30,006	2440.5	− 2528	−87.5	× 48 / 200	−21
6	30,007	2444.2	− 2552	−107.8	× 48 / 200	−25.9
Sum, rounded to a whole point						−81

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,567	2384.1	− 2436	−51.9	× 55 / 208	−13.7
4	30,569	2450.9	− 2485	−34.1	× 47 / 208	−7.7
5	30,571	2423.8	− 2528	−104.2	× 58 / 208	−29.1
6	30,572	2450.9	− 2552	−101.1	× 48 / 208	−23.3
Sum, rounded to a whole point						−74

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,617	2381.4	− 2436	−54.6	× 56 / 210	−14.6
4	30,620	2469.1	− 2485	−15.9	× 57 / 210	−4.3
5	30,621	2453.3	− 2528	−74.7	× 48 / 210	−17.1
6	30,624	2472.4	− 2552	−79.6	× 49 / 210	−18.6
Sum, rounded to a whole point						−55

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,794	2414.3	− 2436	−21.7	× 46 / 216	−4.6
4	30,795	2473.5	− 2485	−11.5	× 65 / 216	−3.5
5	30,796	2504.5	− 2528	−23.5	× 63 / 216	−6.9
6	30,797	2517.2	− 2552	−34.8	× 42 / 216	−6.8
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,821	2421.5	− 2436	−14.5	× 58 / 185	−4.5
4	30,822	2500.1	− 2485	15.1	× 37 / 185	3
5	30,823	2472.7	− 2528	−55.3	× 54 / 185	−16.1
6	30,824	2489.9	− 2552	−62.1	× 36 / 185	−12.1
Sum, rounded to a whole point						−30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,879	2446.8	− 2436	10.8	× 63 / 158	4.3
4	30,880	2492.8	− 2485	7.8	× 52 / 158	2.6
5	30,881	2498.2	− 2528	−29.8	× 43 / 158	−8.1
Sum, rounded to a whole point						−1

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,745	2448.9	− 2436	12.9	× 61 / 173	4.5
4	30,746	2484.2	− 2485	−0.8	× 56 / 173	−0.3
5	30,747	2510.6	− 2528	−17.4	× 56 / 173	−5.6
Sum, rounded to a whole point						−1

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,604	2444.6	− 2436	8.6	× 68 / 189	3.1
4	30,605	2483.9	− 2485	−1.1	× 64 / 189	−0.4
5	30,606	2524.7	− 2528	−3.3	× 57 / 189	−1
Sum, rounded to a whole point						2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −86, −81, −74, −55, −22, −30, −1, −1, 2 → −38.7
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: 19 · 2018→2019: 33 · 2019→2022: 8 · 2022→2023: 29 · 2023→2024: 0 · 2024→2025: 3 → average 13
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13 × 2.66 = 34.6. Upper limit −4.1, lower limit −73.3.

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.