Redlands Unified District Level Program: 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
11	67,051	2539.8	− 2628	−88.2	× 32 / 32	−88.2
Sum, rounded to a whole point						−88

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	62,194	2548.0	− 2628	−80	× 41 / 41	−80
Sum, rounded to a whole point						−80

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	63,977	2502.7	− 2586	−83.3	× 11 / 46	−19.9
11	63,980	2515.4	− 2628	−112.6	× 35 / 46	−85.7
Sum, rounded to a whole point						−106

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	64,084	2527.9	− 2628	−100.1	× 35 / 35	−100.1
Sum, rounded to a whole point						−100

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	64,449	2490.8	− 2586	−95.2	× 15 / 63	−22.7
11	64,450	2500.5	− 2628	−127.5	× 48 / 63	−97.1
Sum, rounded to a whole point						−120

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,517	2450.1	− 2436	14.1	× 14 / 163	1.2
5	64,519	2491.1	− 2528	−36.9	× 20 / 163	−4.5
6	64,520	2473.1	− 2552	−78.9	× 18 / 163	−8.7
7	64,521	2495.9	− 2567	−71.1	× 27 / 163	−11.8
8	64,522	2490.5	− 2586	−95.5	× 33 / 163	−19.3
11	64,523	2541.4	− 2628	−86.6	× 51 / 163	−27.1
Sum, rounded to a whole point						−70

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	64,503	2410.9	− 2485	−74.1	× 12 / 120	−7.4
6	64,505	2486.6	− 2552	−65.4	× 20 / 120	−10.9
7	64,506	2495.7	− 2567	−71.3	× 19 / 120	−11.3
8	64,507	2470.6	− 2586	−115.4	× 34 / 120	−32.7
11	64,508	2549.0	− 2628	−79	× 35 / 120	−23
Sum, rounded to a whole point						−85

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	64,477	2508.9	− 2552	−43.1	× 15 / 92	−7
7	64,478	2501.8	− 2567	−65.2	× 16 / 92	−11.3
8	64,479	2501.0	− 2586	−85	× 23 / 92	−21.3
11	64,480	2578.8	− 2628	−49.2	× 38 / 92	−20.3
Sum, rounded to a whole point						−60

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	64,241	2496.7	− 2552	−55.3	× 11 / 98	−6.2
7	64,242	2531.1	− 2567	−35.9	× 21 / 98	−7.7
8	64,243	2540.9	− 2586	−45.1	× 23 / 98	−10.6
11	64,244	2632.1	− 2628	4.1	× 43 / 98	1.8
Sum, rounded to a whole point						−23

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −88, −80, −106, −100, −120, −70, −85, −60, −23 → −81.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 26 · 2017→2018: 6 · 2018→2019: 20 · 2019→2022: 50 · 2022→2023: 15 · 2023→2024: 25 · 2024→2025: 37 → average 23.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 23.4 × 2.66 = 62.2. Upper limit −19.1, lower limit −143.5.

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.