Sierra Charter: math

The shaded band is this school'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
6	10,398	2420.3	− 2552	−131.7	× 11 / 201	−7.2
7	10,400	2438.9	− 2567	−128.1	× 27 / 201	−17.2
8	10,402	2439.0	− 2586	−147	× 60 / 201	−43.9
11	10,404	2498.3	− 2628	−129.7	× 103 / 201	−66.5
Sum, rounded to a whole point						−135

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	9,433	2455.0	− 2567	−112	× 32 / 157	−22.8
8	9,434	2461.8	− 2586	−124.2	× 48 / 157	−38
11	9,436	2508.3	− 2628	−119.7	× 77 / 157	−58.7
Sum, rounded to a whole point						−120

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	9,742	2387.0	− 2552	−165	× 13 / 164	−13.1
7	9,744	2450.4	− 2567	−116.6	× 25 / 164	−17.8
8	9,746	2475.1	− 2586	−110.9	× 50 / 164	−33.8
11	9,749	2482.2	− 2628	−145.8	× 76 / 164	−67.6
Sum, rounded to a whole point						−132

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	9,750	2468.0	− 2552	−84	× 12 / 162	−6.2
7	9,752	2452.2	− 2567	−114.8	× 38 / 162	−26.9
8	9,754	2461.2	− 2586	−124.8	× 40 / 162	−30.8
11	9,756	2485.7	− 2628	−142.3	× 72 / 162	−63.2
Sum, rounded to a whole point						−127

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	9,838	2365.6	− 2436	−70.4	× 13 / 198	−4.6
6	9,841	2473.3	− 2552	−78.7	× 15 / 198	−6
7	9,842	2460.1	− 2567	−106.9	× 45 / 198	−24.3
8	9,843	2461.8	− 2586	−124.2	× 61 / 198	−38.3
11	9,844	2503.6	− 2628	−124.4	× 64 / 198	−40.2
Sum, rounded to a whole point						−113

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	9,790	2387.8	− 2485	−97.2	× 11 / 155	−6.9
6	9,792	2449.3	− 2552	−102.7	× 16 / 155	−10.6
7	9,793	2471.7	− 2567	−95.3	× 35 / 155	−21.5
8	9,794	2468.3	− 2586	−117.7	× 40 / 155	−30.4
11	9,795	2512.7	− 2628	−115.3	× 53 / 155	−39.4
Sum, rounded to a whole point						−109

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	9,767	2388.3	− 2528	−139.7	× 12 / 160	−10.5
7	9,769	2449.8	− 2567	−117.2	× 41 / 160	−30
8	9,770	2468.5	− 2586	−117.5	× 55 / 160	−40.4
11	9,771	2500.9	− 2628	−127.1	× 52 / 160	−41.3
Sum, rounded to a whole point						−122

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	9,726	2426.2	− 2552	−125.8	× 17 / 166	−12.9
7	9,727	2446.0	− 2567	−121	× 40 / 166	−29.2
8	9,728	2440.7	− 2586	−145.3	× 54 / 166	−47.3
11	9,729	2499.5	− 2628	−128.5	× 55 / 166	−42.6
Sum, rounded to a whole point						−132

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	9,701	2422.5	− 2552	−129.5	× 13 / 167	−10.1
7	9,702	2447.1	− 2567	−119.9	× 45 / 167	−32.3
8	9,703	2450.3	− 2586	−135.7	× 60 / 167	−48.8
11	9,704	2521.2	− 2628	−106.8	× 49 / 167	−31.3
Sum, rounded to a whole point						−122

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −135, −120, −132, −127, −113, −109, −122, −132, −122 → −123.6
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: 12 · 2017→2018: 5 · 2018→2019: 14 · 2019→2022: 4 · 2022→2023: 13 · 2023→2024: 10 · 2024→2025: 10 → average 10.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.4 × 2.66 = 27.7. Upper limit −95.9, lower limit −151.3.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.