California City 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
7	17,623	2450.0	− 2567	−117	× 151 / 265	−66.7
8	17,625	2492.3	− 2586	−93.7	× 114 / 265	−40.3
Sum, rounded to a whole point						−107

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	16,629	2413.1	− 2552	−138.9	× 122 / 402	−42.2
7	16,632	2450.4	− 2567	−116.6	× 127 / 402	−36.8
8	16,633	2463.1	− 2586	−122.9	× 153 / 402	−46.8
Sum, rounded to a whole point						−126

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	16,952	2424.0	− 2552	−128	× 143 / 398	−46
7	16,954	2420.1	− 2567	−146.9	× 127 / 398	−46.9
8	16,955	2470.5	− 2586	−115.5	× 128 / 398	−37.1
Sum, rounded to a whole point						−130

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	16,971	2416.7	− 2552	−135.3	× 174 / 436	−54
7	16,973	2443.0	− 2567	−124	× 144 / 436	−41
8	16,975	2459.7	− 2586	−126.3	× 118 / 436	−34.2
Sum, rounded to a whole point						−129

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	17,120	2434.4	− 2552	−117.6	× 157 / 467	−39.5
7	17,121	2459.3	− 2567	−107.7	× 163 / 467	−37.6
8	17,122	2442.7	− 2586	−143.3	× 147 / 467	−45.1
Sum, rounded to a whole point						−122

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	17,164	2396.0	− 2552	−156	× 187 / 504	−57.9
7	17,165	2420.9	− 2567	−146.1	× 163 / 504	−47.3
8	17,166	2402.6	− 2586	−183.4	× 154 / 504	−56
Sum, rounded to a whole point						−161

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	17,102	2369.3	− 2552	−182.7	× 148 / 453	−59.7
7	17,103	2382.9	− 2567	−184.1	× 154 / 453	−62.6
8	17,104	2385.7	− 2586	−200.3	× 151 / 453	−66.8
Sum, rounded to a whole point						−189

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	17,059	2366.9	− 2552	−185.1	× 165 / 454	−67.3
7	17,060	2379.1	− 2567	−187.9	× 145 / 454	−60
8	17,061	2397.1	− 2586	−188.9	× 144 / 454	−59.9
Sum, rounded to a whole point						−187

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	17,046	2394.9	− 2552	−157.1	× 151 / 459	−51.7
7	17,047	2406.5	− 2567	−160.5	× 163 / 459	−57
8	17,048	2405.4	− 2586	−180.6	× 145 / 459	−57.1
Sum, rounded to a whole point						−166

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −107, −126, −130, −129, −122, −161, −189, −187, −166 → −146.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 4 · 2017→2018: 1 · 2018→2019: 7 · 2019→2022: 39 · 2022→2023: 28 · 2023→2024: 2 · 2024→2025: 21 → average 15.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.1 × 2.66 = 40.2. Upper limit −106.1, lower limit −186.5.

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