Loma Prieta Joint 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	87,562	2455.5	− 2436	19.5	× 54 / 364	2.9
4	87,564	2515.9	− 2485	30.9	× 55 / 364	4.7
5	87,566	2514.6	− 2528	−13.4	× 58 / 364	−2.1
6	87,568	2590.6	− 2552	38.6	× 60 / 364	6.4
7	87,570	2605.8	− 2567	38.8	× 66 / 364	7
8	87,572	2621.5	− 2586	35.5	× 71 / 364	6.9
Sum, rounded to a whole point						26

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,263	2466.3	− 2436	30.3	× 53 / 368	4.4
4	81,266	2512.7	− 2485	27.7	× 57 / 368	4.3
5	81,267	2583.9	− 2528	55.9	× 59 / 368	9
6	81,269	2576.3	− 2552	24.3	× 74 / 368	4.9
7	81,272	2618.0	− 2567	51	× 62 / 368	8.6
8	81,273	2641.7	− 2586	55.7	× 63 / 368	9.5
Sum, rounded to a whole point						41

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,511	2475.0	− 2436	39	× 47 / 382	4.8
4	83,514	2511.9	− 2485	26.9	× 57 / 382	4
5	83,516	2563.3	− 2528	35.3	× 59 / 382	5.5
6	83,517	2611.9	− 2552	59.9	× 84 / 382	13.2
7	83,519	2598.2	− 2567	31.2	× 69 / 382	5.6
8	83,522	2653.6	− 2586	67.6	× 66 / 382	11.7
Sum, rounded to a whole point						45

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,737	2484.3	− 2436	48.3	× 40 / 361	5.4
4	83,740	2537.7	− 2485	52.7	× 39 / 361	5.7
5	83,742	2547.8	− 2528	19.8	× 57 / 361	3.1
6	83,744	2584.4	− 2552	32.4	× 77 / 361	6.9
7	83,746	2637.7	− 2567	70.7	× 79 / 361	15.5
8	83,748	2639.9	− 2586	53.9	× 69 / 361	10.3
Sum, rounded to a whole point						47

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,352	2479.7	− 2436	43.7	× 45 / 356	5.5
4	84,353	2528.7	− 2485	43.7	× 41 / 356	5
5	84,354	2588.3	− 2528	60.3	× 45 / 356	7.6
6	84,355	2569.0	− 2552	17	× 67 / 356	3.2
7	84,356	2603.4	− 2567	36.4	× 80 / 356	8.2
8	84,357	2655.2	− 2586	69.2	× 78 / 356	15.2
Sum, rounded to a whole point						45

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,517	2440.8	− 2436	4.8	× 46 / 300	0.7
4	84,518	2548.8	− 2485	63.8	× 46 / 300	9.8
5	84,519	2553.4	− 2528	25.4	× 46 / 300	3.9
6	84,520	2551.6	− 2552	−0.4	× 46 / 300	−0.1
7	84,521	2591.1	− 2567	24.1	× 60 / 300	4.8
8	84,522	2583.2	− 2586	−2.8	× 56 / 300	−0.5
Sum, rounded to a whole point						19

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,458	2481.9	− 2436	45.9	× 52 / 311	7.7
4	84,459	2527.3	− 2485	42.3	× 46 / 311	6.3
5	84,460	2569.8	− 2528	41.8	× 47 / 311	6.3
6	84,461	2601.4	− 2552	49.4	× 56 / 311	8.9
7	84,462	2578.3	− 2567	11.3	× 48 / 311	1.7
8	84,463	2610.6	− 2586	24.6	× 62 / 311	4.9
Sum, rounded to a whole point						36

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,453	2499.1	− 2436	63.1	× 34 / 296	7.2
4	84,454	2548.7	− 2485	63.7	× 56 / 296	12.1
5	84,455	2557.4	− 2528	29.4	× 45 / 296	4.5
6	84,456	2619.3	− 2552	67.3	× 53 / 296	12.1
7	84,457	2598.9	− 2567	31.9	× 57 / 296	6.1
8	84,458	2598.5	− 2586	12.5	× 51 / 296	2.2
Sum, rounded to a whole point						44

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,141	2504.3	− 2436	68.3	× 50 / 297	11.5
4	84,142	2554.1	− 2485	69.1	× 31 / 297	7.2
5	84,143	2572.6	− 2528	44.6	× 54 / 297	8.1
6	84,144	2606.4	− 2552	54.4	× 55 / 297	10.1
7	84,145	2632.8	− 2567	65.8	× 52 / 297	11.5
8	84,146	2616.0	− 2586	30	× 55 / 297	5.6
Sum, rounded to a whole point						54

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,918	2494.4	− 2436	58.4	× 34 / 283	7
4	83,919	2529.4	− 2485	44.4	× 50 / 283	7.8
5	83,920	2594.6	− 2528	66.6	× 34 / 283	8
6	83,921	2613.9	− 2552	61.9	× 62 / 283	13.6
7	83,922	2605.6	− 2567	38.6	× 51 / 283	7
8	83,923	2650.9	− 2586	64.9	× 52 / 283	11.9
Sum, rounded to a whole point						55

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 26, 41, 45, 47, 45, 19, 36, 44, 54, 55 → 41.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 4 · 2017→2018: 2 · 2018→2019: 2 · 2019→2022: 26 · 2022→2023: 17 · 2023→2024: 8 · 2024→2025: 10 · 2025→2026: 1 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit 66.2, lower limit 16.2.

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.

Loma Prieta Joint Union Elementary