Martin Luther King 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	39,150	2364.5	− 2436	−71.5	× 98 / 299	−23.4
4	39,151	2416.9	− 2485	−68.1	× 87 / 299	−19.8
5	39,154	2431.4	− 2528	−96.6	× 75 / 299	−24.2
6	39,155	2440.9	− 2552	−111.1	× 39 / 299	−14.5
Sum, rounded to a whole point						−82

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,340	2378.7	− 2436	−57.3	× 84 / 299	−16.1
4	36,342	2392.6	− 2485	−92.4	× 97 / 299	−30
5	36,345	2419.9	− 2528	−108.1	× 85 / 299	−30.7
6	36,346	2456.5	− 2552	−95.5	× 33 / 299	−10.5
Sum, rounded to a whole point						−87

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,104	2375.8	− 2436	−60.2	× 83 / 281	−17.8
4	37,107	2379.0	− 2485	−106	× 81 / 281	−30.6
5	37,108	2412.5	− 2528	−115.5	× 89 / 281	−36.6
6	37,110	2464.2	− 2552	−87.8	× 28 / 281	−8.7
Sum, rounded to a whole point						−94

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,063	2387.7	− 2436	−48.3	× 93 / 306	−14.7
4	37,064	2412.5	− 2485	−72.5	× 90 / 306	−21.3
5	37,067	2420.3	− 2528	−107.7	× 89 / 306	−31.3
6	37,068	2417.5	− 2552	−134.5	× 34 / 306	−14.9
Sum, rounded to a whole point						−82

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,266	2428.6	− 2436	−7.4	× 91 / 307	−2.2
4	37,267	2435.9	− 2485	−49.1	× 91 / 307	−14.6
5	37,268	2427.5	− 2528	−100.5	× 92 / 307	−30.1
6	37,269	2482.3	− 2552	−69.7	× 33 / 307	−7.5
Sum, rounded to a whole point						−54

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,185	2379.4	− 2436	−56.6	× 75 / 218	−19.5
4	37,186	2413.1	− 2485	−71.9	× 68 / 218	−22.4
5	37,187	2447.9	− 2528	−80.1	× 53 / 218	−19.5
6	37,188	2579.3	− 2552	27.3	× 22 / 218	2.8
Sum, rounded to a whole point						−59

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,218	2433.1	− 2436	−2.9	× 50 / 194	−0.7
4	37,219	2437.6	− 2485	−47.4	× 73 / 194	−17.8
5	37,220	2444.9	− 2528	−83.1	× 57 / 194	−24.4
6	37,221	2481.4	− 2552	−70.6	× 14 / 194	−5.1
Sum, rounded to a whole point						−48

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,068	2431.0	− 2436	−5	× 45 / 182	−1.2
4	37,069	2429.1	− 2485	−55.9	× 49 / 182	−15.1
5	37,070	2460.0	− 2528	−68	× 68 / 182	−25.4
6	37,071	2498.4	− 2552	−53.6	× 20 / 182	−5.9
Sum, rounded to a whole point						−48

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,905	2427.1	− 2436	−8.9	× 57 / 181	−2.8
4	36,906	2468.9	− 2485	−16.1	× 46 / 181	−4.1
5	36,907	2478.4	− 2528	−49.6	× 51 / 181	−14
6	36,908	2507.9	− 2552	−44.1	× 27 / 181	−6.6
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −82, −87, −94, −82, −54, −59, −48, −48, −27 → −64.6
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: 12 · 2018→2019: 28 · 2019→2022: 5 · 2022→2023: 11 · 2023→2024: 0 · 2024→2025: 21 → 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 −35.1, lower limit −94.1.

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.