Mammoth Unified: 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	45,200	2405.0	− 2432	−27	× 110 / 661	−4.5
4	45,201	2451.6	− 2473	−21.4	× 94 / 661	−3
5	45,204	2494.4	− 2502	−7.6	× 86 / 661	−1
6	45,205	2510.2	− 2531	−20.8	× 84 / 661	−2.6
7	45,208	2538.9	− 2552	−13.1	× 95 / 661	−1.9
8	45,209	2549.7	− 2567	−17.3	× 115 / 661	−3
11	45,212	2604.7	− 2583	21.7	× 77 / 661	2.5
Sum, rounded to a whole point						−14

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,903	2404.1	− 2432	−27.9	× 88 / 619	−4
4	41,905	2465.0	− 2473	−8	× 103 / 619	−1.3
5	41,907	2490.9	− 2502	−11.1	× 89 / 619	−1.6
6	41,910	2527.1	− 2531	−3.9	× 83 / 619	−0.5
7	41,912	2554.8	− 2552	2.8	× 89 / 619	0.4
8	41,914	2577.6	− 2567	10.6	× 95 / 619	1.6
11	41,915	2620.3	− 2583	37.3	× 72 / 619	4.3
Sum, rounded to a whole point						−1

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,944	2405.4	− 2432	−26.6	× 83 / 617	−3.6
4	42,947	2442.0	− 2473	−31	× 92 / 617	−4.6
5	42,949	2481.6	− 2502	−20.4	× 101 / 617	−3.3
6	42,950	2511.9	− 2531	−19.1	× 91 / 617	−2.8
7	42,953	2532.8	− 2552	−19.2	× 91 / 617	−2.8
8	42,954	2550.8	− 2567	−16.2	× 88 / 617	−2.3
11	42,956	2585.3	− 2583	2.3	× 71 / 617	0.3
Sum, rounded to a whole point						−19

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,947	2403.8	− 2432	−28.2	× 92 / 650	−4
4	42,950	2438.7	− 2473	−34.3	× 81 / 650	−4.3
5	42,951	2484.7	− 2502	−17.3	× 90 / 650	−2.4
6	42,953	2538.0	− 2531	7	× 100 / 650	1.1
7	42,956	2561.7	− 2552	9.7	× 94 / 650	1.4
8	42,958	2567.1	− 2567	0.1	× 93 / 650	0
11	42,959	2567.6	− 2583	−15.4	× 100 / 650	−2.4
Sum, rounded to a whole point						−11

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,063	2434.3	− 2432	2.3	× 85 / 632	0.3
4	43,064	2440.7	− 2473	−32.3	× 84 / 632	−4.3
5	43,065	2497.6	− 2502	−4.4	× 87 / 632	−0.6
6	43,066	2539.3	− 2531	8.3	× 95 / 632	1.2
7	43,067	2576.1	− 2552	24.1	× 108 / 632	4.1
8	43,068	2585.3	− 2567	18.3	× 92 / 632	2.7
11	43,069	2601.4	− 2583	18.4	× 81 / 632	2.4
Sum, rounded to a whole point						6

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	41,939	2614.9	− 2583	31.9	× 70 / 70	31.9
Sum, rounded to a whole point						32

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,798	2369.7	− 2432	−62.3	× 84 / 539	−9.7
4	42,799	2434.3	− 2473	−38.7	× 76 / 539	−5.5
5	42,800	2488.8	− 2502	−13.2	× 73 / 539	−1.8
6	42,801	2520.6	− 2531	−10.4	× 79 / 539	−1.5
7	42,802	2546.5	− 2552	−5.5	× 77 / 539	−0.8
8	42,803	2554.8	− 2567	−12.2	× 77 / 539	−1.7
11	42,804	2622.9	− 2583	39.9	× 73 / 539	5.4
Sum, rounded to a whole point						−16

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,811	2395.9	− 2432	−36.1	× 76 / 557	−4.9
4	42,812	2422.6	− 2473	−50.4	× 88 / 557	−8
5	42,813	2475.9	− 2502	−26.1	× 75 / 557	−3.5
6	42,814	2509.0	− 2531	−22	× 71 / 557	−2.8
7	42,815	2545.5	− 2552	−6.5	× 78 / 557	−0.9
8	42,816	2531.5	− 2567	−35.5	× 77 / 557	−4.9
11	42,817	2619.0	− 2583	36	× 92 / 557	5.9
Sum, rounded to a whole point						−19

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,636	2402.4	− 2432	−29.6	× 98 / 572	−5.1
4	42,637	2459.8	− 2473	−13.2	× 80 / 572	−1.8
5	42,638	2448.3	− 2502	−53.7	× 86 / 572	−8.1
6	42,639	2501.9	− 2531	−29.1	× 80 / 572	−4.1
7	42,640	2520.2	− 2552	−31.8	× 71 / 572	−3.9
8	42,641	2549.8	− 2567	−17.2	× 80 / 572	−2.4
11	42,642	2588.7	− 2583	5.7	× 77 / 572	0.8
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	42,387	2388.4	− 2432	−43.6	× 70 / 542	−5.6
4	42,388	2446.6	− 2473	−26.4	× 94 / 542	−4.6
5	42,389	2496.2	− 2502	−5.8	× 79 / 542	−0.8
6	42,390	2497.7	− 2531	−33.3	× 82 / 542	−5
7	42,391	2514.2	− 2552	−37.8	× 81 / 542	−5.6
8	42,392	2537.7	− 2567	−29.3	× 69 / 542	−3.7
11	42,393	2621.6	− 2583	38.6	× 67 / 542	4.8
Sum, rounded to a whole point						−21

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −14, −1, −19, −11, 6, 32, −16, −19, −25, −21 → −8.8
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: 18 · 2017→2018: 8 · 2018→2019: 17 · 2019→2021: 26 · 2021→2022: 48 · 2022→2023: 3 · 2023→2024: 6 · 2024→2025: 4 → average 15.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.9 × 2.66 = 42.3. Upper limit 33.5, lower limit −51.1.

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.