Foothill Ranch Middle: 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
5	63,524	2435.6	− 2528	−92.4	× 100 / 590	−15.7
6	63,526	2455.8	− 2552	−96.2	× 88 / 590	−14.3
7	63,528	2468.0	− 2567	−99	× 191 / 590	−32
8	63,530	2438.2	− 2586	−147.8	× 211 / 590	−52.9
Sum, rounded to a whole point						−115

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	58,942	2457.2	− 2528	−70.8	× 88 / 562	−11.1
6	58,943	2500.2	− 2552	−51.8	× 96 / 562	−8.8
7	58,945	2501.9	− 2567	−65.1	× 174 / 562	−20.2
8	58,948	2480.0	− 2586	−106	× 204 / 562	−38.5
Sum, rounded to a whole point						−79

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	60,654	2465.9	− 2528	−62.1	× 95 / 606	−9.7
6	60,656	2478.4	− 2552	−73.6	× 108 / 606	−13.1
7	60,659	2513.5	− 2567	−53.5	× 211 / 606	−18.6
8	60,661	2518.0	− 2586	−68	× 192 / 606	−21.5
Sum, rounded to a whole point						−63

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	60,780	2468.4	− 2528	−59.6	× 89 / 590	−9
6	60,782	2512.6	− 2552	−39.4	× 95 / 590	−6.3
7	60,784	2514.4	− 2567	−52.6	× 193 / 590	−17.2
8	60,786	2517.5	− 2586	−68.5	× 213 / 590	−24.7
Sum, rounded to a whole point						−57

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	61,031	2473.2	− 2528	−54.8	× 98 / 602	−8.9
6	61,032	2482.5	− 2552	−69.5	× 86 / 602	−9.9
7	61,033	2496.0	− 2567	−71	× 212 / 602	−25
8	61,034	2519.1	− 2586	−66.9	× 206 / 602	−22.9
Sum, rounded to a whole point						−67

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	61,129	2437.7	− 2567	−129.3	× 201 / 402	−64.7
8	61,130	2461.7	− 2586	−124.3	× 201 / 402	−62.2
Sum, rounded to a whole point						−127

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	61,076	2453.1	− 2567	−113.9	× 220 / 428	−58.5
8	61,077	2464.6	− 2586	−121.4	× 208 / 428	−59
Sum, rounded to a whole point						−118

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	61,021	2425.7	− 2567	−141.3	× 228 / 477	−67.5
8	61,022	2479.2	− 2586	−106.8	× 249 / 477	−55.8
Sum, rounded to a whole point						−123

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	60,790	2438.9	− 2567	−128.1	× 252 / 493	−65.5
8	60,791	2472.9	− 2586	−113.1	× 241 / 493	−55.3
Sum, rounded to a whole point						−121

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −115, −79, −63, −57, −67, −127, −118, −123, −121 → −96.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 36 · 2016→2017: 16 · 2017→2018: 6 · 2018→2019: 10 · 2019→2022: 60 · 2022→2023: 9 · 2023→2024: 5 · 2024→2025: 2 → average 18
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18 × 2.66 = 47.9. Upper limit −48.8, lower limit −144.6.

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.