Millbrae Elementary: english

The shaded band is this district'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	83,211	2453.8	− 2432	21.8	× 269 / 1616	3.6
4	83,213	2499.5	− 2473	26.5	× 247 / 1616	4.1
5	83,215	2532.3	− 2502	30.3	× 248 / 1616	4.7
6	83,216	2545.1	− 2531	14.1	× 261 / 1616	2.3
7	83,219	2572.9	− 2552	20.9	× 295 / 1616	3.8
8	83,221	2603.8	− 2567	36.8	× 296 / 1616	6.7
Sum, rounded to a whole point						25

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,162	2463.2	− 2432	31.2	× 244 / 1597	4.8
4	77,164	2501.5	− 2473	28.5	× 273 / 1597	4.9
5	77,167	2532.5	− 2502	30.5	× 248 / 1597	4.7
6	77,169	2558.2	− 2531	27.2	× 269 / 1597	4.6
7	77,170	2587.5	− 2552	35.5	× 262 / 1597	5.8
8	77,172	2593.5	− 2567	26.5	× 301 / 1597	5
Sum, rounded to a whole point						30

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,266	2459.1	− 2432	27.1	× 252 / 1568	4.4
4	79,268	2496.6	− 2473	23.6	× 248 / 1568	3.7
5	79,270	2531.7	− 2502	29.7	× 272 / 1568	5.2
6	79,271	2553.3	− 2531	22.3	× 265 / 1568	3.8
7	79,273	2599.2	− 2552	47.2	× 272 / 1568	8.2
8	79,275	2608.8	− 2567	41.8	× 259 / 1568	6.9
Sum, rounded to a whole point						32

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,408	2465.4	− 2432	33.4	× 246 / 1601	5.1
4	79,411	2509.1	− 2473	36.1	× 272 / 1601	6.1
5	79,412	2525.4	− 2502	23.4	× 251 / 1601	3.7
6	79,415	2544.2	− 2531	13.2	× 285 / 1601	2.3
7	79,416	2586.0	− 2552	34	× 269 / 1601	5.7
8	79,419	2612.2	− 2567	45.2	× 278 / 1601	7.8
Sum, rounded to a whole point						31

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,932	2450.0	− 2432	18	× 247 / 1567	2.8
4	79,933	2503.1	− 2473	30.1	× 232 / 1567	4.5
5	79,934	2543.0	− 2502	41	× 272 / 1567	7.1
6	79,935	2546.6	− 2531	15.6	× 255 / 1567	2.5
7	79,936	2574.7	− 2552	22.7	× 288 / 1567	4.2
8	79,937	2590.9	− 2567	23.9	× 273 / 1567	4.2
Sum, rounded to a whole point						25

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,387	2457.9	− 2432	25.9	× 210 / 1301	4.2
4	78,388	2483.2	− 2473	10.2	× 244 / 1301	1.9
5	78,389	2528.5	− 2502	26.5	× 234 / 1301	4.8
6	78,390	2545.7	− 2531	14.7	× 184 / 1301	2.1
7	78,391	2598.6	− 2552	46.6	× 218 / 1301	7.8
8	78,392	2593.8	− 2567	26.8	× 211 / 1301	4.3
Sum, rounded to a whole point						25

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,190	2463.5	− 2432	31.5	× 240 / 1404	5.4
4	80,191	2503.4	− 2473	30.4	× 223 / 1404	4.8
5	80,192	2538.3	− 2502	36.3	× 244 / 1404	6.3
6	80,193	2557.4	− 2531	26.4	× 228 / 1404	4.3
7	80,194	2597.0	− 2552	45	× 217 / 1404	7
8	80,195	2604.6	− 2567	37.6	× 252 / 1404	6.7
Sum, rounded to a whole point						35

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,154	2443.9	− 2432	11.9	× 212 / 1375	1.8
4	80,155	2495.8	− 2473	22.8	× 245 / 1375	4.1
5	80,156	2535.4	− 2502	33.4	× 222 / 1375	5.4
6	80,157	2541.3	− 2531	10.3	× 241 / 1375	1.8
7	80,158	2600.5	− 2552	48.5	× 226 / 1375	8
8	80,159	2599.9	− 2567	32.9	× 229 / 1375	5.5
Sum, rounded to a whole point						27

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,180	2451.1	− 2432	19.1	× 216 / 1387	3
4	80,181	2490.2	− 2473	17.2	× 214 / 1387	2.7
5	80,182	2542.8	− 2502	40.8	× 249 / 1387	7.3
6	80,183	2561.0	− 2531	30	× 231 / 1387	5
7	80,184	2598.5	− 2552	46.5	× 249 / 1387	8.3
8	80,185	2615.8	− 2567	48.8	× 228 / 1387	8
Sum, rounded to a whole point						34

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,846	2454.1	− 2432	22.1	× 229 / 1430	3.5
4	79,847	2515.8	− 2473	42.8	× 231 / 1430	6.9
5	79,848	2535.2	− 2502	33.2	× 222 / 1430	5.2
6	79,849	2561.6	− 2531	30.6	× 257 / 1430	5.5
7	79,850	2603.2	− 2552	51.2	× 232 / 1430	8.3
8	79,851	2594.6	− 2567	27.6	× 259 / 1430	5
Sum, rounded to a whole point						34

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 25, 30, 32, 31, 25, 25, 35, 27, 34, 34 → 29.8
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: 1 · 2018→2019: 6 · 2019→2021: 0 · 2021→2022: 10 · 2022→2023: 8 · 2023→2024: 7 · 2024→2025: 0 → average 4.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.3 × 2.66 = 11.4. Upper limit 41.2, lower limit 18.4.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.