Belmont-Redwood Shores 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	82,455	2480.5	− 2432	48.5	× 469 / 2459	9.3
4	82,456	2522.7	− 2473	49.7	× 424 / 2459	8.6
5	82,459	2549.2	− 2502	47.2	× 437 / 2459	8.4
6	82,460	2575.9	− 2531	44.9	× 410 / 2459	7.5
7	82,463	2604.6	− 2552	52.6	× 375 / 2459	8
8	82,465	2622.5	− 2567	55.5	× 344 / 2459	7.8
Sum, rounded to a whole point						49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,481	2488.1	− 2432	56.1	× 426 / 2547	9.4
4	76,482	2528.2	− 2473	55.2	× 480 / 2547	10.4
5	76,485	2574.2	− 2502	72.2	× 421 / 2547	11.9
6	76,487	2598.3	− 2531	67.3	× 456 / 2547	12
7	76,488	2607.1	− 2552	55.1	× 400 / 2547	8.7
8	76,490	2635.5	− 2567	68.5	× 364 / 2547	9.8
Sum, rounded to a whole point						62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,519	2491.5	− 2432	59.5	× 456 / 2636	10.3
4	78,522	2527.6	− 2473	54.6	× 431 / 2636	8.9
5	78,523	2569.4	− 2502	67.4	× 478 / 2636	12.2
6	78,525	2597.2	− 2531	66.2	× 427 / 2636	10.7
7	78,527	2614.7	− 2552	62.7	× 453 / 2636	10.8
8	78,529	2630.3	− 2567	63.3	× 391 / 2636	9.4
Sum, rounded to a whole point						62

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,662	2488.2	− 2432	56.2	× 447 / 2709	9.3
4	78,665	2542.3	− 2473	69.3	× 456 / 2709	11.7
5	78,666	2564.9	− 2502	62.9	× 438 / 2709	10.2
6	78,669	2599.5	− 2531	68.5	× 486 / 2709	12.3
7	78,670	2621.3	− 2552	69.3	× 432 / 2709	11.1
8	78,673	2639.5	− 2567	72.5	× 450 / 2709	12
Sum, rounded to a whole point						66

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,186	2504.0	− 2432	72	× 479 / 2737	12.6
4	79,187	2541.6	− 2473	68.6	× 453 / 2737	11.4
5	79,188	2580.1	− 2502	78.1	× 448 / 2737	12.8
6	79,189	2607.0	− 2531	76	× 447 / 2737	12.4
7	79,190	2635.1	− 2552	83.1	× 476 / 2737	14.5
8	79,191	2649.7	− 2567	82.7	× 434 / 2737	13.1
Sum, rounded to a whole point						77

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,747	2495.1	− 2432	63.1	× 433 / 2594	10.5
4	77,748	2532.1	− 2473	59.1	× 433 / 2594	9.9
5	77,749	2575.6	− 2502	73.6	× 456 / 2594	12.9
6	77,750	2605.1	− 2531	74.1	× 471 / 2594	13.5
7	77,751	2634.7	− 2552	82.7	× 394 / 2594	12.6
8	77,752	2653.2	− 2567	86.2	× 407 / 2594	13.5
Sum, rounded to a whole point						73

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,432	2491.7	− 2432	59.7	× 375 / 2553	8.8
4	79,433	2535.4	− 2473	62.4	× 428 / 2553	10.5
5	79,434	2589.3	− 2502	87.3	× 429 / 2553	14.7
6	79,435	2599.8	− 2531	68.8	× 472 / 2553	12.7
7	79,436	2641.6	− 2552	89.6	× 458 / 2553	16.1
8	79,437	2653.8	− 2567	86.8	× 391 / 2553	13.3
Sum, rounded to a whole point						76

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,408	2509.4	− 2432	77.4	× 417 / 2653	12.2
4	79,409	2532.8	− 2473	59.8	× 390 / 2653	8.8
5	79,410	2582.5	− 2502	80.5	× 441 / 2653	13.4
6	79,411	2610.4	− 2531	79.4	× 455 / 2653	13.6
7	79,412	2634.3	− 2552	82.3	× 484 / 2653	15
8	79,413	2652.5	− 2567	85.5	× 466 / 2653	15
Sum, rounded to a whole point						78

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,434	2500.6	− 2432	68.6	× 422 / 2668	10.9
4	79,435	2546.9	− 2473	73.9	× 429 / 2668	11.9
5	79,436	2580.7	− 2502	78.7	× 400 / 2668	11.8
6	79,437	2610.5	− 2531	79.5	× 466 / 2668	13.9
7	79,438	2642.9	− 2552	90.9	× 465 / 2668	15.8
8	79,439	2638.3	− 2567	71.3	× 486 / 2668	13
Sum, rounded to a whole point						77

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,100	2501.3	− 2432	69.3	× 394 / 2604	10.5
4	79,101	2532.2	− 2473	59.2	× 436 / 2604	9.9
5	79,102	2585.4	− 2502	83.4	× 448 / 2604	14.3
6	79,103	2610.0	− 2531	79	× 400 / 2604	12.1
7	79,104	2645.8	− 2552	93.8	× 468 / 2604	16.9
8	79,105	2662.8	− 2567	95.8	× 458 / 2604	16.8
Sum, rounded to a whole point						81

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 49, 62, 62, 66, 77, 73, 76, 78, 77, 81 → 70.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 0 · 2017→2018: 4 · 2018→2019: 11 · 2019→2021: 4 · 2021→2022: 3 · 2022→2023: 2 · 2023→2024: 1 · 2024→2025: 4 → average 4.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.7 × 2.66 = 12.5. Upper limit 82.6, lower limit 57.6.

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 — 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.