Denair 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	96,570	2407.7	− 2436	−28.3	× 74 / 658	−3.2
4	96,573	2425.8	− 2485	−59.2	× 89 / 658	−8
5	96,574	2471.2	− 2528	−56.8	× 73 / 658	−6.3
6	96,577	2496.1	− 2552	−55.9	× 93 / 658	−7.9
7	96,578	2488.9	− 2567	−78.1	× 92 / 658	−10.9
8	96,581	2528.6	− 2586	−57.4	× 90 / 658	−7.9
11	96,582	2498.4	− 2628	−129.6	× 147 / 658	−29
Sum, rounded to a whole point						−73

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,565	2395.5	− 2436	−40.5	× 78 / 685	−4.6
4	89,566	2434.0	− 2485	−51	× 77 / 685	−5.7
5	89,569	2449.7	− 2528	−78.3	× 87 / 685	−9.9
6	89,571	2469.1	− 2552	−82.9	× 89 / 685	−10.8
7	89,573	2499.7	− 2567	−67.3	× 95 / 685	−9.3
8	89,575	2502.9	− 2586	−83.1	× 91 / 685	−11
11	89,577	2490.4	− 2628	−137.6	× 168 / 685	−33.7
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	92,176	2371.6	− 2436	−64.4	× 86 / 693	−8
4	92,178	2437.2	− 2485	−47.8	× 85 / 693	−5.9
5	92,180	2447.8	− 2528	−80.2	× 81 / 693	−9.4
6	92,183	2465.4	− 2552	−86.6	× 92 / 693	−11.5
7	92,184	2475.7	− 2567	−91.3	× 94 / 693	−12.4
8	92,186	2476.0	− 2586	−110	× 101 / 693	−16
11	92,189	2500.8	− 2628	−127.2	× 154 / 693	−28.3
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
3	92,371	2402.7	− 2436	−33.3	× 67 / 613	−3.6
4	92,374	2430.8	− 2485	−54.2	× 88 / 613	−7.8
5	92,375	2437.8	− 2528	−90.2	× 78 / 613	−11.5
6	92,378	2463.3	− 2552	−88.7	× 79 / 613	−11.4
7	92,379	2442.1	− 2567	−124.9	× 93 / 613	−18.9
8	92,382	2447.8	− 2586	−138.2	× 93 / 613	−21
11	92,383	2487.4	− 2628	−140.6	× 115 / 613	−26.4
Sum, rounded to a whole point						−101

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,008	2397.1	− 2436	−38.9	× 94 / 634	−5.8
4	93,009	2449.6	− 2485	−35.4	× 66 / 634	−3.7
5	93,010	2436.2	− 2528	−91.8	× 91 / 634	−13.2
6	93,011	2454.0	− 2552	−98	× 84 / 634	−13
7	93,012	2486.1	− 2567	−80.9	× 67 / 634	−8.5
8	93,013	2491.2	− 2586	−94.8	× 99 / 634	−14.8
11	93,014	2491.5	− 2628	−136.5	× 133 / 634	−28.6
Sum, rounded to a whole point						−88

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,035	2338.5	− 2436	−97.5	× 84 / 555	−14.8
4	91,036	2409.8	− 2485	−75.2	× 81 / 555	−11
5	91,037	2432.2	− 2528	−95.8	× 91 / 555	−15.7
6	91,038	2432.2	− 2552	−119.8	× 52 / 555	−11.2
7	91,039	2448.0	− 2567	−119	× 76 / 555	−16.3
8	91,040	2454.7	− 2586	−131.3	× 72 / 555	−17
11	91,041	2474.5	− 2628	−153.5	× 99 / 555	−27.4
Sum, rounded to a whole point						−113

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,245	2376.1	− 2436	−59.9	× 86 / 650	−7.9
4	93,246	2410.8	− 2485	−74.2	× 93 / 650	−10.6
5	93,247	2451.1	− 2528	−76.9	× 94 / 650	−11.1
6	93,248	2451.6	− 2552	−100.4	× 93 / 650	−14.4
7	93,249	2436.0	− 2567	−131	× 71 / 650	−14.3
8	93,250	2445.6	− 2586	−140.4	× 97 / 650	−21
11	93,251	2486.1	− 2628	−141.9	× 116 / 650	−25.3
Sum, rounded to a whole point						−105

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,145	2373.4	− 2436	−62.6	× 96 / 656	−9.2
4	93,146	2417.1	− 2485	−67.9	× 92 / 656	−9.5
5	93,147	2428.3	− 2528	−99.7	× 94 / 656	−14.3
6	93,148	2474.1	− 2552	−77.9	× 97 / 656	−11.5
7	93,149	2467.9	− 2567	−99.1	× 95 / 656	−14.4
8	93,150	2441.7	− 2586	−144.3	× 79 / 656	−17.4
11	93,151	2477.4	− 2628	−150.6	× 103 / 656	−23.6
Sum, rounded to a whole point						−100

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,032	2383.9	− 2436	−52.1	× 97 / 695	−7.3
4	93,033	2413.1	− 2485	−71.9	× 93 / 695	−9.6
5	93,034	2440.1	− 2528	−87.9	× 94 / 695	−11.9
6	93,035	2450.2	− 2552	−101.8	× 89 / 695	−13
7	93,036	2474.3	− 2567	−92.7	× 106 / 695	−14.1
8	93,037	2475.1	− 2586	−110.9	× 103 / 695	−16.4
11	93,038	2495.4	− 2628	−132.6	× 113 / 695	−21.6
Sum, rounded to a whole point						−94

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,764	2387.4	− 2436	−48.6	× 94 / 682	−6.7
4	92,765	2417.2	− 2485	−67.8	× 91 / 682	−9
5	92,766	2451.9	− 2528	−76.1	× 93 / 682	−10.4
6	92,767	2460.4	− 2552	−91.6	× 101 / 682	−13.6
7	92,768	2451.9	− 2567	−115.1	× 98 / 682	−16.5
8	92,769	2490.9	− 2586	−95.1	× 109 / 682	−15.2
11	92,770	2485.9	− 2628	−142.1	× 96 / 682	−20
Sum, rounded to a whole point						−91

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,364	2381.4	− 2436	−54.6	× 98 / 657	−8.1
4	92,365	2412.9	− 2485	−72.1	× 90 / 657	−9.9
5	92,366	2435.7	− 2528	−92.3	× 82 / 657	−11.5
6	92,367	2454.9	− 2552	−97.1	× 92 / 657	−13.6
7	92,368	2463.3	− 2567	−103.7	× 100 / 657	−15.8
8	92,369	2433.0	− 2586	−153	× 100 / 657	−23.3
11	92,370	2461.5	− 2628	−166.5	× 95 / 657	−24.1
Sum, rounded to a whole point						−106

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −73, −85, −91, −101, −88, −113, −105, −100, −94, −91, −106 → −95.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 6 · 2017→2018: 10 · 2018→2019: 13 · 2019→2021: 25 · 2021→2022: 8 · 2022→2023: 5 · 2023→2024: 6 · 2024→2025: 3 · 2025→2026: 15 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit −67.8, lower limit −122.6.

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 — 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.

Denair Unified