Madera County Superintendent of Schools: 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
5	41,019	2359.4	− 2502	−142.6	× 13 / 315	−5.9
6	41,022	2411.7	− 2531	−119.3	× 15 / 315	−5.7
7	41,023	2433.8	− 2552	−118.2	× 35 / 315	−13.1
8	41,026	2432.0	− 2567	−135	× 50 / 315	−21.4
11	41,027	2470.0	− 2583	−113	× 202 / 315	−72.5
Sum, rounded to a whole point						−119

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	37,923	2429.1	− 2531	−101.9	× 12 / 264	−4.6
7	37,925	2441.2	− 2552	−110.8	× 19 / 264	−8
8	37,926	2431.5	− 2567	−135.5	× 53 / 264	−27.2
11	37,928	2467.2	− 2583	−115.8	× 180 / 264	−79
Sum, rounded to a whole point						−119

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	38,825	2324.5	− 2502	−177.5	× 11 / 247	−7.9
7	38,828	2439.9	− 2552	−112.1	× 24 / 247	−10.9
8	38,831	2468.4	− 2567	−98.6	× 32 / 247	−12.8
11	38,832	2474.9	− 2583	−108.1	× 180 / 247	−78.8
Sum, rounded to a whole point						−110

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	38,847	2373.3	− 2502	−128.7	× 12 / 247	−6.3
6	38,850	2363.1	− 2531	−167.9	× 14 / 247	−9.5
7	38,851	2423.2	− 2552	−128.8	× 28 / 247	−14.6
8	38,853	2440.3	− 2567	−126.7	× 50 / 247	−25.6
11	38,855	2462.6	− 2583	−120.4	× 143 / 247	−69.7
Sum, rounded to a whole point						−126

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	39,001	2373.6	− 2502	−128.4	× 15 / 220	−8.8
6	39,002	2412.1	− 2531	−118.9	× 20 / 220	−10.8
7	39,003	2413.5	− 2552	−138.5	× 35 / 220	−22
8	39,004	2469.6	− 2567	−97.4	× 38 / 220	−16.8
11	39,005	2471.7	− 2583	−111.3	× 112 / 220	−56.7
Sum, rounded to a whole point						−115

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	37,998	2452.7	− 2552	−99.3	× 15 / 91	−16.4
8	37,999	2442.7	− 2567	−124.3	× 18 / 91	−24.6
11	38,000	2505.2	− 2583	−77.8	× 58 / 91	−49.6
Sum, rounded to a whole point						−91

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	38,752	2407.5	− 2502	−94.5	× 13 / 135	−9.1
7	38,754	2436.2	− 2552	−115.8	× 18 / 135	−15.4
8	38,755	2423.0	− 2567	−144	× 31 / 135	−33.1
11	38,756	2530.6	− 2583	−52.4	× 73 / 135	−28.3
Sum, rounded to a whole point						−86

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	38,809	2410.5	− 2552	−141.5	× 17 / 121	−19.9
8	38,810	2440.4	− 2567	−126.6	× 26 / 121	−27.2
11	38,811	2486.4	− 2583	−96.6	× 78 / 121	−62.3
Sum, rounded to a whole point						−109

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	38,639	2413.0	− 2552	−139	× 23 / 131	−24.4
8	38,640	2442.3	− 2567	−124.7	× 32 / 131	−30.5
11	38,641	2497.5	− 2583	−85.5	× 76 / 131	−49.6
Sum, rounded to a whole point						−104

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	38,411	2352.0	− 2473	−121	× 17 / 159	−12.9
6	38,413	2390.3	− 2531	−140.7	× 16 / 159	−14.2
7	38,414	2418.9	− 2552	−133.1	× 17 / 159	−14.2
8	38,415	2410.9	− 2567	−156.1	× 39 / 159	−38.3
11	38,416	2497.1	− 2583	−85.9	× 70 / 159	−37.8
Sum, rounded to a whole point						−117

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	38,342	2336.4	− 2502	−165.6	× 18 / 144	−20.7
6	38,343	2406.5	− 2531	−124.5	× 12 / 144	−10.4
7	38,344	2456.3	− 2552	−95.7	× 20 / 144	−13.3
8	38,345	2441.0	− 2567	−126	× 28 / 144	−24.5
11	38,346	2479.0	− 2583	−104	× 66 / 144	−47.7
Sum, rounded to a whole point						−117

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −119, −119, −110, −126, −115, −91, −86, −109, −104, −117, −117 → −110.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 9 · 2017→2018: 16 · 2018→2019: 11 · 2019→2021: 24 · 2021→2022: 5 · 2022→2023: 23 · 2023→2024: 5 · 2024→2025: 13 · 2025→2026: 0 → average 10.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.6 × 2.66 = 28.2. Upper limit −82.1, lower limit −138.5.

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.

Madera County Superintendent of Schools