Martin Luther King Jr. Junior High: 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
6	7,389	2470.6	− 2552	−81.4	× 230 / 677	−27.7
7	7,390	2462.2	− 2567	−104.8	× 263 / 677	−40.7
8	7,393	2505.5	− 2586	−80.5	× 184 / 677	−21.9
Sum, rounded to a whole point						−90

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,610	2446.0	− 2552	−106	× 246 / 743	−35.1
7	6,613	2469.7	− 2567	−97.3	× 239 / 743	−31.3
8	6,615	2478.7	− 2586	−107.3	× 258 / 743	−37.3
Sum, rounded to a whole point						−104

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,795	2453.8	− 2552	−98.2	× 235 / 716	−32.2
7	6,796	2459.3	− 2567	−107.7	× 241 / 716	−36.3
8	6,799	2474.1	− 2586	−111.9	× 240 / 716	−37.5
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
6	6,806	2430.0	− 2552	−122	× 260 / 737	−43
7	6,808	2472.5	− 2567	−94.5	× 238 / 737	−30.5
8	6,810	2464.8	− 2586	−121.2	× 239 / 737	−39.3
Sum, rounded to a whole point						−113

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,854	2441.4	− 2552	−110.6	× 204 / 675	−33.4
7	6,855	2470.5	− 2567	−96.5	× 243 / 675	−34.7
8	6,856	2488.0	− 2586	−98	× 228 / 675	−33.1
Sum, rounded to a whole point						−101

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,779	2440.7	− 2552	−111.3	× 240 / 673	−39.7
7	6,780	2440.9	− 2567	−126.1	× 222 / 673	−41.6
8	6,781	2469.0	− 2586	−117	× 211 / 673	−36.7
Sum, rounded to a whole point						−118

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,759	2425.8	− 2552	−126.2	× 242 / 703	−43.4
7	6,760	2454.9	− 2567	−112.1	× 227 / 703	−36.2
8	6,761	2448.8	− 2586	−137.2	× 234 / 703	−45.7
Sum, rounded to a whole point						−125

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,698	2425.5	− 2552	−126.5	× 212 / 683	−39.3
7	6,699	2434.6	− 2567	−132.4	× 241 / 683	−46.7
8	6,700	2474.2	− 2586	−111.8	× 230 / 683	−37.6
Sum, rounded to a whole point						−124

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	6,660	2448.8	− 2552	−103.2	× 208 / 668	−32.1
7	6,661	2448.5	− 2567	−118.5	× 210 / 668	−37.3
8	6,662	2454.4	− 2586	−131.6	× 250 / 668	−49.3
Sum, rounded to a whole point						−119

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −90, −104, −106, −113, −101, −118, −125, −124, −119 → −111.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 2 · 2017→2018: 7 · 2018→2019: 12 · 2019→2022: 17 · 2022→2023: 7 · 2023→2024: 1 · 2024→2025: 5 → average 8.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.1 × 2.66 = 21.5. Upper limit −89.6, lower limit −132.6.

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.