Nevada City 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	47,431	2433.6	− 2432	1.6	× 94 / 574	0.3
4	47,432	2488.4	− 2473	15.4	× 77 / 574	2.1
5	47,435	2511.7	− 2502	9.7	× 89 / 574	1.5
6	47,436	2530.3	− 2531	−0.7	× 114 / 574	−0.1
7	47,439	2558.7	− 2552	6.7	× 102 / 574	1.2
8	47,440	2576.5	− 2567	9.5	× 98 / 574	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	44,104	2467.5	− 2432	35.5	× 95 / 599	5.6
4	44,105	2475.0	− 2473	2	× 106 / 599	0.4
5	44,107	2524.7	− 2502	22.7	× 87 / 599	3.3
6	44,109	2531.8	− 2531	0.8	× 90 / 599	0.1
7	44,111	2559.4	− 2552	7.4	× 112 / 599	1.4
8	44,113	2603.1	− 2567	36.1	× 109 / 599	6.6
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	45,173	2445.7	− 2432	13.7	× 92 / 567	2.2
4	45,175	2519.4	− 2473	46.4	× 87 / 567	7.1
5	45,176	2506.7	− 2502	4.7	× 102 / 567	0.8
6	45,179	2536.6	− 2531	5.6	× 83 / 567	0.8
7	45,180	2549.9	− 2552	−2.1	× 92 / 567	−0.3
8	45,182	2577.7	− 2567	10.7	× 111 / 567	2.1
Sum, rounded to a whole point						13

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,192	2460.6	− 2432	28.6	× 82 / 540	4.3
4	45,193	2507.6	− 2473	34.6	× 90 / 540	5.8
5	45,196	2529.7	− 2502	27.7	× 99 / 540	5.1
6	45,197	2513.6	− 2531	−17.4	× 94 / 540	−3
7	45,200	2554.5	− 2552	2.5	× 89 / 540	0.4
8	45,201	2584.7	− 2567	17.7	× 86 / 540	2.8
Sum, rounded to a whole point						15

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,317	2484.1	− 2432	52.1	× 72 / 500	7.5
4	45,318	2500.0	− 2473	27	× 87 / 500	4.7
5	45,319	2537.9	− 2502	35.9	× 83 / 500	6
6	45,320	2555.4	− 2531	24.4	× 90 / 500	4.4
7	45,321	2567.9	− 2552	15.9	× 89 / 500	2.8
8	45,322	2602.6	− 2567	35.6	× 79 / 500	5.6
Sum, rounded to a whole point						31

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,011	2431.4	− 2432	−0.6	× 53 / 389	−0.1
4	44,012	2476.3	− 2473	3.3	× 56 / 389	0.5
5	44,013	2516.9	− 2502	14.9	× 64 / 389	2.5
6	44,014	2520.6	− 2531	−10.4	× 73 / 389	−2
7	44,015	2598.7	− 2552	46.7	× 72 / 389	8.6
8	44,016	2601.8	− 2567	34.8	× 71 / 389	6.4
Sum, rounded to a whole point						16

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,038	2452.3	− 2432	20.3	× 75 / 437	3.5
4	45,039	2492.0	− 2473	19	× 64 / 437	2.8
5	45,040	2531.4	− 2502	29.4	× 69 / 437	4.6
6	45,041	2528.3	− 2531	−2.7	× 81 / 437	−0.5
7	45,042	2553.1	− 2552	1.1	× 82 / 437	0.2
8	45,043	2598.0	− 2567	31	× 66 / 437	4.7
Sum, rounded to a whole point						15

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,012	2451.8	− 2432	19.8	× 85 / 500	3.4
4	45,013	2498.5	− 2473	25.5	× 91 / 500	4.6
5	45,014	2524.4	− 2502	22.4	× 76 / 500	3.4
6	45,015	2549.2	− 2531	18.2	× 76 / 500	2.8
7	45,016	2564.9	− 2552	12.9	× 89 / 500	2.3
8	45,017	2538.0	− 2567	−29	× 83 / 500	−4.8
Sum, rounded to a whole point						12

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,857	2429.2	− 2432	−2.8	× 78 / 507	−0.4
4	44,858	2486.2	− 2473	13.2	× 86 / 507	2.2
5	44,859	2517.2	− 2502	15.2	× 95 / 507	2.8
6	44,860	2527.4	− 2531	−3.6	× 76 / 507	−0.5
7	44,861	2575.6	− 2552	23.6	× 83 / 507	3.9
8	44,862	2577.3	− 2567	10.3	× 89 / 507	1.8
Sum, rounded to a whole point						10

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,601	2418.8	− 2432	−13.2	× 69 / 500	−1.8
4	44,602	2509.8	− 2473	36.8	× 77 / 500	5.7
5	44,603	2528.8	− 2502	26.8	× 95 / 500	5.1
6	44,604	2535.1	− 2531	4.1	× 91 / 500	0.7
7	44,605	2572.7	− 2552	20.7	× 77 / 500	3.2
8	44,606	2593.7	− 2567	26.7	× 91 / 500	4.9
Sum, rounded to a whole point						18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 7, 17, 13, 15, 31, 16, 15, 12, 10, 18 → 15.4
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: 4 · 2017→2018: 2 · 2018→2019: 16 · 2019→2021: 15 · 2021→2022: 1 · 2022→2023: 3 · 2023→2024: 2 · 2024→2025: 8 → average 6.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.8 × 2.66 = 18.1. Upper limit 33.5, lower limit −2.7.

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.