San Marino Unified: math

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	37,064	2512.6	− 2436	76.6	× 174 / 1647	8.1
4	37,066	2539.0	− 2485	54	× 189 / 1647	6.2
5	37,068	2585.5	− 2528	57.5	× 241 / 1647	8.4
6	37,070	2619.7	− 2552	67.7	× 249 / 1647	10.2
7	37,072	2638.3	− 2567	71.3	× 244 / 1647	10.6
8	37,074	2663.9	− 2586	77.9	× 272 / 1647	12.9
11	37,076	2725.6	− 2628	97.6	× 278 / 1647	16.5
Sum, rounded to a whole point						73

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,504	2530.2	− 2436	94.2	× 200 / 1588	11.9
4	34,506	2576.1	− 2485	91.1	× 180 / 1588	10.3
5	34,509	2604.8	− 2528	76.8	× 193 / 1588	9.3
6	34,511	2632.5	− 2552	80.5	× 250 / 1588	12.7
7	34,513	2651.7	− 2567	84.7	× 249 / 1588	13.3
8	34,514	2672.2	− 2586	86.2	× 252 / 1588	13.7
11	34,517	2710.5	− 2628	82.5	× 264 / 1588	13.7
Sum, rounded to a whole point						85

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,123	2534.9	− 2436	98.9	× 196 / 1657	11.7
4	35,125	2574.0	− 2485	89	× 219 / 1657	11.8
5	35,127	2605.7	− 2528	77.7	× 205 / 1657	9.6
6	35,128	2623.7	− 2552	71.7	× 208 / 1657	9
7	35,131	2651.3	− 2567	84.3	× 266 / 1657	13.5
8	35,133	2674.2	− 2586	88.2	× 272 / 1657	14.5
11	35,134	2724.4	− 2628	96.4	× 291 / 1657	16.9
Sum, rounded to a whole point						87

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,135	2538.6	− 2436	102.6	× 187 / 1606	11.9
4	35,137	2574.1	− 2485	89.1	× 205 / 1606	11.4
5	35,139	2610.9	− 2528	82.9	× 229 / 1606	11.8
6	35,141	2643.8	− 2552	91.8	× 217 / 1606	12.4
7	35,143	2655.5	− 2567	88.5	× 222 / 1606	12.2
8	35,145	2656.1	− 2586	70.1	× 283 / 1606	12.4
11	35,147	2745.9	− 2628	117.9	× 263 / 1606	19.3
Sum, rounded to a whole point						91

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,305	2525.1	− 2436	89.1	× 206 / 1540	11.9
4	35,306	2577.4	− 2485	92.4	× 197 / 1540	11.8
5	35,307	2620.4	− 2528	92.4	× 204 / 1540	12.2
6	35,308	2644.6	− 2552	92.6	× 233 / 1540	14
7	35,309	2672.7	− 2567	105.7	× 220 / 1540	15.1
8	35,310	2648.6	− 2586	62.6	× 220 / 1540	8.9
11	35,311	2735.7	− 2628	107.7	× 260 / 1540	18.2
Sum, rounded to a whole point						92

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,442	2506.5	− 2436	70.5	× 197 / 1404	9.9
4	34,443	2563.0	− 2485	78	× 195 / 1404	10.8
5	34,444	2604.3	− 2528	76.3	× 197 / 1404	10.7
6	34,445	2621.2	− 2552	69.2	× 190 / 1404	9.4
7	34,446	2680.2	− 2567	113.2	× 199 / 1404	16
8	34,447	2674.2	− 2586	88.2	× 201 / 1404	12.6
11	34,448	2696.1	− 2628	68.1	× 225 / 1404	10.9
Sum, rounded to a whole point						80

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,202	2520.8	− 2436	84.8	× 184 / 1347	11.6
4	35,203	2566.3	− 2485	81.3	× 200 / 1347	12.1
5	35,204	2613.2	− 2528	85.2	× 198 / 1347	12.5
6	35,205	2618.0	− 2552	66	× 209 / 1347	10.2
7	35,206	2672.8	− 2567	105.8	× 185 / 1347	14.5
8	35,207	2678.1	− 2586	92.1	× 200 / 1347	13.7
11	35,208	2684.3	− 2628	56.3	× 171 / 1347	7.1
Sum, rounded to a whole point						82

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,233	2529.5	− 2436	93.5	× 232 / 1453	14.9
4	35,234	2581.0	− 2485	96	× 199 / 1453	13.1
5	35,235	2602.9	− 2528	74.9	× 219 / 1453	11.3
6	35,236	2638.3	− 2552	86.3	× 210 / 1453	12.5
7	35,237	2665.4	− 2567	98.4	× 215 / 1453	14.6
8	35,238	2696.1	− 2586	110.1	× 192 / 1453	14.5
11	35,239	2745.5	− 2628	117.5	× 186 / 1453	15
Sum, rounded to a whole point						96

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,083	2516.6	− 2436	80.6	× 243 / 1567	12.5
4	35,084	2586.4	− 2485	101.4	× 227 / 1567	14.7
5	35,085	2612.6	− 2528	84.6	× 219 / 1567	11.8
6	35,086	2639.2	− 2552	87.2	× 235 / 1567	13.1
7	35,087	2671.7	− 2567	104.7	× 226 / 1567	15.1
8	35,088	2693.0	− 2586	107	× 223 / 1567	15.2
11	35,089	2746.1	− 2628	118.1	× 194 / 1567	14.6
Sum, rounded to a whole point						97

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,936	2519.7	− 2436	83.7	× 239 / 1671	12
4	34,937	2567.4	− 2485	82.4	× 253 / 1671	12.5
5	34,938	2613.8	− 2528	85.8	× 246 / 1671	12.6
6	34,939	2646.8	− 2552	94.8	× 236 / 1671	13.4
7	34,940	2666.1	− 2567	99.1	× 239 / 1671	14.2
8	34,941	2698.3	− 2586	112.3	× 247 / 1671	16.6
11	34,942	2707.9	− 2628	79.9	× 211 / 1671	10.1
Sum, rounded to a whole point						91

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,934	2536.3	− 2436	100.3	× 261 / 1727	15.2
4	34,935	2574.2	− 2485	89.2	× 232 / 1727	12
5	34,936	2602.6	− 2528	74.6	× 271 / 1727	11.7
6	34,937	2653.4	− 2552	101.4	× 254 / 1727	14.9
7	34,938	2683.1	− 2567	116.1	× 256 / 1727	17.2
8	34,939	2692.5	− 2586	106.5	× 252 / 1727	15.5
11	34,940	2743.7	− 2628	115.7	× 201 / 1727	13.5
Sum, rounded to a whole point						100

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 73, 85, 87, 91, 92, 80, 82, 96, 97, 91, 100 → 88.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 2 · 2017→2018: 4 · 2018→2019: 1 · 2019→2021: 12 · 2021→2022: 2 · 2022→2023: 14 · 2023→2024: 1 · 2024→2025: 6 · 2025→2026: 9 → average 6.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.3 × 2.66 = 16.8. Upper limit 105.3, lower limit 71.7.

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.

San Marino Unified