Sierra Preparatory Academy: 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	51,908	2448.2	− 2552	−103.8	× 330 / 976	−35.1
7	51,910	2443.6	− 2567	−123.4	× 310 / 976	−39.2
8	51,912	2487.5	− 2586	−98.5	× 336 / 976	−33.9
Sum, rounded to a whole point						−108

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	48,225	2446.1	− 2552	−105.9	× 285 / 927	−32.6
7	48,227	2455.7	− 2567	−111.3	× 320 / 927	−38.4
8	48,230	2463.0	− 2586	−123	× 322 / 927	−42.7
Sum, rounded to a whole point						−114

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,553	2445.8	− 2552	−106.2	× 300 / 886	−36
7	49,556	2440.7	− 2567	−126.3	× 284 / 886	−40.5
8	49,558	2467.5	− 2586	−118.5	× 302 / 886	−40.4
Sum, rounded to a whole point						−117

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,568	2417.2	− 2552	−134.8	× 217 / 780	−37.5
7	49,569	2448.7	− 2567	−118.3	× 291 / 780	−44.1
8	49,572	2434.0	− 2586	−152	× 272 / 780	−53
Sum, rounded to a whole point						−135

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,766	2414.6	− 2552	−137.4	× 218 / 733	−40.9
7	49,767	2440.4	− 2567	−126.6	× 225 / 733	−38.9
8	49,768	2461.2	− 2586	−124.8	× 290 / 733	−49.4
Sum, rounded to a whole point						−129

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,675	2378.4	− 2436	−57.6	× 49 / 621	−4.5
4	49,676	2410.2	− 2485	−74.8	× 48 / 621	−5.8
5	49,677	2429.6	− 2528	−98.4	× 33 / 621	−5.2
6	49,678	2408.0	− 2552	−144	× 167 / 621	−38.7
7	49,679	2419.5	− 2567	−147.5	× 140 / 621	−33.3
8	49,680	2415.3	− 2586	−170.7	× 184 / 621	−50.6
Sum, rounded to a whole point						−138

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,637	2345.7	− 2436	−90.3	× 36 / 573	−5.7
4	49,638	2414.5	− 2485	−70.5	× 54 / 573	−6.6
5	49,639	2441.0	− 2528	−87	× 48 / 573	−7.3
6	49,640	2417.3	− 2552	−134.7	× 134 / 573	−31.5
7	49,641	2431.7	− 2567	−135.3	× 165 / 573	−39
8	49,642	2403.7	− 2586	−182.3	× 136 / 573	−43.3
Sum, rounded to a whole point						−133

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,488	2356.4	− 2436	−79.6	× 43 / 604	−5.7
4	49,489	2385.9	− 2485	−99.1	× 37 / 604	−6.1
5	49,490	2415.5	− 2528	−112.5	× 55 / 604	−10.2
6	49,491	2419.3	− 2552	−132.7	× 146 / 604	−32.1
7	49,492	2426.8	− 2567	−140.2	× 149 / 604	−34.6
8	49,493	2413.2	− 2586	−172.8	× 174 / 604	−49.8
Sum, rounded to a whole point						−138

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,246	2395.4	− 2436	−40.6	× 38 / 542	−2.8
4	49,247	2397.5	− 2485	−87.5	× 42 / 542	−6.8
5	49,248	2427.0	− 2528	−101	× 37 / 542	−6.9
6	49,249	2419.1	− 2552	−132.9	× 118 / 542	−28.9
7	49,250	2427.0	− 2567	−140	× 157 / 542	−40.6
8	49,251	2429.7	− 2586	−156.3	× 150 / 542	−43.3
Sum, rounded to a whole point						−129

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −108, −114, −117, −135, −129, −138, −133, −138, −129 → −126.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 3 · 2017→2018: 18 · 2018→2019: 6 · 2019→2022: 9 · 2022→2023: 5 · 2023→2024: 5 · 2024→2025: 9 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit −106.6, lower limit −147.

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.