Loomis Union Elementary: 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	53,911	2441.7	− 2436	5.7	× 324 / 1901	1
4	53,912	2482.7	− 2485	−2.3	× 298 / 1901	−0.4
5	53,915	2530.9	− 2528	2.9	× 308 / 1901	0.5
6	53,916	2554.1	− 2552	2.1	× 325 / 1901	0.4
7	53,919	2589.4	− 2567	22.4	× 316 / 1901	3.7
8	53,920	2595.5	− 2586	9.5	× 330 / 1901	1.6
Sum, rounded to a whole point						7

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,079	2450.9	− 2436	14.9	× 292 / 1949	2.2
4	50,082	2491.6	− 2485	6.6	× 351 / 1949	1.2
5	50,083	2553.2	− 2528	25.2	× 319 / 1949	4.1
6	50,085	2555.8	− 2552	3.8	× 331 / 1949	0.6
7	50,088	2590.2	− 2567	23.2	× 329 / 1949	3.9
8	50,090	2617.4	− 2586	31.4	× 327 / 1949	5.3
Sum, rounded to a whole point						17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,494	2462.5	− 2436	26.5	× 299 / 2012	3.9
4	51,495	2500.8	− 2485	15.8	× 326 / 2012	2.6
5	51,498	2537.2	− 2528	9.2	× 362 / 2012	1.7
6	51,500	2554.5	− 2552	2.5	× 347 / 2012	0.4
7	51,502	2591.4	− 2567	24.4	× 340 / 2012	4.1
8	51,504	2613.1	− 2586	27.1	× 338 / 2012	4.6
Sum, rounded to a whole point						17

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,524	2457.5	− 2436	21.5	× 300 / 2029	3.2
4	51,525	2507.6	− 2485	22.6	× 325 / 2029	3.6
5	51,528	2546.1	− 2528	18.1	× 335 / 2029	3
6	51,529	2555.6	− 2552	3.6	× 381 / 2029	0.7
7	51,532	2595.1	− 2567	28.1	× 349 / 2029	4.8
8	51,533	2615.6	− 2586	29.6	× 339 / 2029	4.9
Sum, rounded to a whole point						20

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,723	2459.1	− 2436	23.1	× 307 / 2016	3.5
4	51,724	2515.3	− 2485	30.3	× 316 / 2016	4.7
5	51,725	2550.4	− 2528	22.4	× 332 / 2016	3.7
6	51,726	2569.8	− 2552	17.8	× 345 / 2016	3
7	51,727	2599.2	− 2567	32.2	× 370 / 2016	5.9
8	51,728	2631.7	− 2586	45.7	× 346 / 2016	7.8
Sum, rounded to a whole point						29

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,663	2474.7	− 2436	38.7	× 280 / 1902	5.7
4	51,664	2509.2	− 2485	24.2	× 316 / 1902	4
5	51,665	2540.0	− 2528	12	× 337 / 1902	2.1
6	51,666	2575.5	− 2552	23.5	× 334 / 1902	4.1
7	51,667	2590.6	− 2567	23.6	× 317 / 1902	3.9
8	51,668	2612.3	− 2586	26.3	× 318 / 1902	4.4
Sum, rounded to a whole point						24

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,632	2465.9	− 2436	29.9	× 311 / 1954	4.8
4	51,633	2511.7	− 2485	26.7	× 303 / 1954	4.1
5	51,634	2549.6	− 2528	21.6	× 330 / 1954	3.6
6	51,635	2562.6	− 2552	10.6	× 347 / 1954	1.9
7	51,636	2597.9	− 2567	30.9	× 337 / 1954	5.3
8	51,637	2603.3	− 2586	17.3	× 326 / 1954	2.9
Sum, rounded to a whole point						23

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,448	2466.1	− 2436	30.1	× 302 / 1970	4.6
4	51,449	2510.8	− 2485	25.8	× 330 / 1970	4.3
5	51,450	2547.8	− 2528	19.8	× 314 / 1970	3.2
6	51,451	2572.8	− 2552	20.8	× 335 / 1970	3.5
7	51,452	2589.6	− 2567	22.6	× 339 / 1970	3.9
8	51,453	2615.7	− 2586	29.7	× 350 / 1970	5.3
Sum, rounded to a whole point						25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,232	2462.3	− 2436	26.3	× 296 / 1913	4.1
4	51,233	2515.8	− 2485	30.8	× 309 / 1913	5
5	51,234	2546.2	− 2528	18.2	× 331 / 1913	3.1
6	51,235	2569.4	− 2552	17.4	× 310 / 1913	2.8
7	51,236	2600.8	− 2567	33.8	× 326 / 1913	5.8
8	51,237	2609.7	− 2586	23.7	× 341 / 1913	4.2
Sum, rounded to a whole point						25

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,109	2467.9	− 2436	31.9	× 295 / 1895	5
4	51,110	2509.5	− 2485	24.5	× 315 / 1895	4.1
5	51,111	2550.0	− 2528	22	× 318 / 1895	3.7
6	51,112	2573.7	− 2552	21.7	× 339 / 1895	3.9
7	51,113	2583.8	− 2567	16.8	× 305 / 1895	2.7
8	51,114	2623.2	− 2586	37.2	× 323 / 1895	6.3
Sum, rounded to a whole point						26

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 7, 17, 17, 20, 29, 24, 23, 25, 25, 26 → 21.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 0 · 2017→2018: 3 · 2018→2019: 9 · 2019→2022: 5 · 2022→2023: 1 · 2023→2024: 2 · 2024→2025: 0 · 2025→2026: 1 → average 3.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.4 × 2.66 = 9. Upper limit 30.3, lower limit 12.3.

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 — 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.

Loomis Union Elementary