Lucerne Valley Unified: math

The shaded band is this district'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
3	69,461	2371.8	− 2436	−64.2	× 50 / 394	−8.1
4	69,463	2397.6	− 2485	−87.4	× 61 / 394	−13.5
5	69,465	2428.3	− 2528	−99.7	× 46 / 394	−11.6
6	69,467	2438.7	− 2552	−113.3	× 63 / 394	−18.1
7	69,469	2466.9	− 2567	−100.1	× 58 / 394	−14.7
8	69,471	2505.0	− 2586	−81	× 55 / 394	−11.3
11	69,473	2524.4	− 2628	−103.6	× 61 / 394	−16
Sum, rounded to a whole point						−94

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,382	2394.6	− 2436	−41.4	× 50 / 368	−5.6
4	64,384	2427.0	− 2485	−58	× 51 / 368	−8
5	64,386	2425.8	− 2528	−102.2	× 64 / 368	−17.8
6	64,387	2471.9	− 2552	−80.1	× 41 / 368	−8.9
7	64,389	2449.8	− 2567	−117.2	× 55 / 368	−17.5
8	64,391	2495.7	− 2586	−90.3	× 56 / 368	−13.7
11	64,394	2532.6	− 2628	−95.4	× 51 / 368	−13.2
Sum, rounded to a whole point						−85

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,190	2408.7	− 2436	−27.3	× 53 / 371	−3.9
4	66,192	2429.3	− 2485	−55.7	× 57 / 371	−8.6
5	66,193	2413.5	− 2528	−114.5	× 57 / 371	−17.6
6	66,195	2447.5	− 2552	−104.5	× 56 / 371	−15.8
7	66,197	2490.7	− 2567	−76.3	× 45 / 371	−9.3
8	66,199	2466.8	− 2586	−119.2	× 56 / 371	−18
11	66,201	2518.1	− 2628	−109.9	× 47 / 371	−13.9
Sum, rounded to a whole point						−87

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,259	2406.3	− 2436	−29.7	× 51 / 397	−3.8
4	66,262	2415.8	− 2485	−69.2	× 63 / 397	−11
5	66,264	2441.2	− 2528	−86.8	× 70 / 397	−15.3
6	66,266	2442.1	− 2552	−109.9	× 69 / 397	−19.1
7	66,267	2454.9	− 2567	−112.1	× 60 / 397	−16.9
8	66,270	2488.8	− 2586	−97.2	× 47 / 397	−11.5
11	66,271	2548.0	− 2628	−80	× 37 / 397	−7.5
Sum, rounded to a whole point						−85

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,652	2431.3	− 2436	−4.7	× 54 / 405	−0.6
4	66,653	2468.2	− 2485	−16.8	× 53 / 405	−2.2
5	66,654	2427.7	− 2528	−100.3	× 56 / 405	−13.9
6	66,655	2456.8	− 2552	−95.2	× 67 / 405	−15.7
7	66,656	2480.3	− 2567	−86.7	× 58 / 405	−12.4
8	66,657	2452.3	− 2586	−133.7	× 63 / 405	−20.8
11	66,658	2526.9	− 2628	−101.1	× 54 / 405	−13.5
Sum, rounded to a whole point						−79

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,730	2357.9	− 2436	−78.1	× 83 / 503	−12.9
4	66,731	2413.3	− 2485	−71.7	× 85 / 503	−12.1
5	66,732	2415.3	− 2528	−112.7	× 79 / 503	−17.7
6	66,733	2453.9	− 2552	−98.1	× 68 / 503	−13.3
7	66,734	2440.1	− 2567	−126.9	× 71 / 503	−17.9
8	66,735	2452.1	− 2586	−133.9	× 73 / 503	−19.4
11	66,736	2472.8	− 2628	−155.2	× 44 / 503	−13.6
Sum, rounded to a whole point						−107

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,730	2368.0	− 2436	−68	× 76 / 551	−9.4
4	66,731	2399.7	− 2485	−85.3	× 91 / 551	−14.1
5	66,732	2425.9	− 2528	−102.1	× 88 / 551	−16.3
6	66,733	2419.4	− 2552	−132.6	× 83 / 551	−20
7	66,734	2444.4	− 2567	−122.6	× 74 / 551	−16.5
8	66,735	2442.2	− 2586	−143.8	× 73 / 551	−19.1
11	66,736	2487.6	− 2628	−140.4	× 66 / 551	−16.8
Sum, rounded to a whole point						−112

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,716	2348.7	− 2436	−87.3	× 93 / 617	−13.2
4	66,717	2400.7	− 2485	−84.3	× 79 / 617	−10.8
5	66,718	2439.5	− 2528	−88.5	× 91 / 617	−13.1
6	66,719	2421.9	− 2552	−130.1	× 99 / 617	−20.9
7	66,720	2427.4	− 2567	−139.6	× 89 / 617	−20.1
8	66,721	2433.1	− 2586	−152.9	× 87 / 617	−21.6
11	66,722	2495.3	− 2628	−132.7	× 79 / 617	−17
Sum, rounded to a whole point						−117

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,460	2377.8	− 2436	−58.2	× 100 / 638	−9.1
4	66,461	2398.8	− 2485	−86.2	× 94 / 638	−12.7
5	66,462	2424.2	− 2528	−103.8	× 79 / 638	−12.9
6	66,463	2434.5	− 2552	−117.5	× 102 / 638	−18.8
7	66,464	2444.8	− 2567	−122.2	× 96 / 638	−18.4
8	66,465	2436.0	− 2586	−150	× 89 / 638	−20.9
11	66,466	2508.9	− 2628	−119.1	× 78 / 638	−14.6
Sum, rounded to a whole point						−107

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,438	2357.1	− 2436	−78.9	× 93 / 635	−11.6
4	66,439	2423.4	− 2485	−61.6	× 104 / 635	−10.1
5	66,440	2416.1	− 2528	−111.9	× 94 / 635	−16.6
6	66,441	2467.0	− 2552	−85	× 79 / 635	−10.6
7	66,442	2460.7	− 2567	−106.3	× 99 / 635	−16.6
8	66,443	2455.6	− 2586	−130.4	× 93 / 635	−19.1
11	66,444	2495.1	− 2628	−132.9	× 73 / 635	−15.3
Sum, rounded to a whole point						−100

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −94, −85, −87, −85, −79, −107, −112, −117, −107, −100 → −97.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 2 · 2017→2018: 2 · 2018→2019: 6 · 2019→2022: 28 · 2022→2023: 5 · 2023→2024: 5 · 2024→2025: 10 · 2025→2026: 7 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit −75.5, lower limit −119.1.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Lucerne Valley Unified