Cajon Valley 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
6	70,193	2445.5	− 2552	−106.5	× 291 / 897	−34.6
7	70,194	2458.6	− 2567	−108.4	× 291 / 897	−35.2
8	70,197	2484.3	− 2586	−101.7	× 315 / 897	−35.7
Sum, rounded to a whole point						−105

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	65,070	2457.8	− 2552	−94.2	× 295 / 901	−30.8
7	65,071	2469.6	− 2567	−97.4	× 306 / 901	−33.1
8	65,074	2505.2	− 2586	−80.8	× 300 / 901	−26.9
Sum, rounded to a whole point						−91

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	66,885	2455.1	− 2552	−96.9	× 282 / 888	−30.8
7	66,887	2475.7	− 2567	−91.3	× 296 / 888	−30.4
8	66,890	2499.4	− 2586	−86.6	× 310 / 888	−30.2
Sum, rounded to a whole point						−91

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	66,990	2446.7	− 2552	−105.3	× 290 / 911	−33.5
7	66,991	2469.0	− 2567	−98	× 303 / 911	−32.6
8	66,994	2477.3	− 2586	−108.7	× 318 / 911	−37.9
Sum, rounded to a whole point						−104

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	67,486	2438.7	− 2552	−113.3	× 303 / 916	−37.5
7	67,487	2481.3	− 2567	−85.7	× 298 / 916	−27.9
8	67,488	2479.1	− 2586	−106.9	× 315 / 916	−36.8
Sum, rounded to a whole point						−102

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	67,622	2426.2	− 2552	−125.8	× 270 / 811	−41.9
7	67,623	2441.5	− 2567	−125.5	× 272 / 811	−42.1
8	67,624	2446.7	− 2586	−139.3	× 269 / 811	−46.2
Sum, rounded to a whole point						−130

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	67,636	2424.8	− 2552	−127.2	× 180 / 900	−25.4
7	67,637	2446.3	− 2567	−120.7	× 357 / 900	−47.9
8	67,638	2463.2	− 2586	−122.8	× 363 / 900	−49.5
Sum, rounded to a whole point						−123

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	67,630	2419.5	− 2552	−132.5	× 185 / 941	−26
7	67,631	2436.2	− 2567	−130.8	× 374 / 941	−52
8	67,632	2466.4	− 2586	−119.6	× 382 / 941	−48.6
Sum, rounded to a whole point						−127

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	67,388	2414.9	− 2552	−137.1	× 183 / 936	−26.8
7	67,389	2420.6	− 2567	−146.4	× 363 / 936	−56.8
8	67,390	2458.0	− 2586	−128	× 390 / 936	−53.3
Sum, rounded to a whole point						−137

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −105, −91, −91, −104, −102, −130, −123, −127, −137 → −112.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 0 · 2017→2018: 13 · 2018→2019: 2 · 2019→2022: 28 · 2022→2023: 7 · 2023→2024: 4 · 2024→2025: 10 → average 9.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.8 × 2.66 = 26.1. Upper limit −86.1, lower limit −138.3.

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.