Gustine 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	44,719	2355.5	− 2436	−80.5	× 141 / 986	−11.5
4	44,722	2392.1	− 2485	−92.9	× 141 / 986	−13.3
5	44,723	2441.4	− 2528	−86.6	× 122 / 986	−10.7
6	44,726	2436.1	− 2552	−115.9	× 142 / 986	−16.7
7	44,727	2481.4	− 2567	−85.6	× 146 / 986	−12.7
8	44,730	2482.7	− 2586	−103.3	× 159 / 986	−16.7
11	44,731	2533.2	− 2628	−94.8	× 135 / 986	−13
Sum, rounded to a whole point						−95

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,446	2361.2	− 2436	−74.8	× 133 / 979	−10.2
4	41,448	2396.5	− 2485	−88.5	× 144 / 979	−13
5	41,449	2431.3	− 2528	−96.7	× 150 / 979	−14.8
6	41,452	2452.5	− 2552	−99.5	× 116 / 979	−11.8
7	41,453	2456.1	− 2567	−110.9	× 140 / 979	−15.9
8	41,455	2501.0	− 2586	−85	× 152 / 979	−13.2
11	41,457	2533.9	− 2628	−94.1	× 144 / 979	−13.8
Sum, rounded to a whole point						−93

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,462	2387.3	− 2436	−48.7	× 122 / 968	−6.1
4	42,464	2418.2	− 2485	−66.8	× 136 / 968	−9.4
5	42,467	2424.9	− 2528	−103.1	× 148 / 968	−15.8
6	42,468	2424.6	− 2552	−127.4	× 154 / 968	−20.3
7	42,470	2480.9	− 2567	−86.1	× 120 / 968	−10.7
8	42,472	2468.1	− 2586	−117.9	× 145 / 968	−17.7
11	42,474	2547.4	− 2628	−80.6	× 143 / 968	−11.9
Sum, rounded to a whole point						−92

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,476	2389.5	− 2436	−46.5	× 133 / 975	−6.3
4	42,477	2433.6	− 2485	−51.4	× 118 / 975	−6.2
5	42,480	2441.4	− 2528	−86.6	× 143 / 975	−12.7
6	42,481	2432.5	− 2552	−119.5	× 147 / 975	−18
7	42,484	2465.8	− 2567	−101.2	× 150 / 975	−15.6
8	42,485	2495.0	− 2586	−91	× 126 / 975	−11.8
11	42,488	2506.7	− 2628	−121.3	× 158 / 975	−19.7
Sum, rounded to a whole point						−90

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,619	2385.2	− 2436	−50.8	× 129 / 983	−6.7
4	42,620	2420.6	− 2485	−64.4	× 139 / 983	−9.1
5	42,621	2477.9	− 2528	−50.1	× 128 / 983	−6.5
6	42,622	2440.7	− 2552	−111.3	× 131 / 983	−14.8
7	42,623	2473.0	− 2567	−94	× 152 / 983	−14.5
8	42,624	2450.3	− 2586	−135.7	× 157 / 983	−21.7
11	42,625	2527.1	− 2628	−100.9	× 147 / 983	−15.1
Sum, rounded to a whole point						−88

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,378	2359.7	− 2436	−76.3	× 133 / 959	−10.6
4	42,379	2418.3	− 2485	−66.7	× 125 / 959	−8.7
5	42,380	2426.2	− 2528	−101.8	× 143 / 959	−15.2
6	42,381	2416.7	− 2552	−135.3	× 124 / 959	−17.5
7	42,382	2465.6	− 2567	−101.4	× 141 / 959	−14.9
8	42,383	2450.0	− 2586	−136	× 124 / 959	−17.6
11	42,384	2459.9	− 2628	−168.1	× 169 / 959	−29.6
Sum, rounded to a whole point						−114

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,405	2374.7	− 2436	−61.3	× 113 / 914	−7.6
4	42,406	2388.2	− 2485	−96.8	× 127 / 914	−13.5
5	42,407	2438.7	− 2528	−89.3	× 119 / 914	−11.6
6	42,408	2435.5	− 2552	−116.5	× 137 / 914	−17.5
7	42,409	2445.5	− 2567	−121.5	× 121 / 914	−16.1
8	42,410	2459.5	− 2586	−126.5	× 142 / 914	−19.7
11	42,411	2469.3	− 2628	−158.7	× 155 / 914	−26.9
Sum, rounded to a whole point						−113

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,240	2380.7	− 2436	−55.3	× 123 / 865	−7.9
4	42,241	2416.2	− 2485	−68.8	× 111 / 865	−8.8
5	42,242	2425.3	− 2528	−102.7	× 120 / 865	−14.2
6	42,243	2425.5	− 2552	−126.5	× 119 / 865	−17.4
7	42,244	2445.6	− 2567	−121.4	× 132 / 865	−18.5
8	42,245	2464.0	− 2586	−122	× 122 / 865	−17.2
11	42,246	2463.7	− 2628	−164.3	× 138 / 865	−26.2
Sum, rounded to a whole point						−110

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,999	2399.0	− 2436	−37	× 105 / 826	−4.7
4	42,000	2408.9	− 2485	−76.1	× 126 / 826	−11.6
5	42,001	2438.9	− 2528	−89.1	× 108 / 826	−11.6
6	42,002	2423.8	− 2552	−128.2	× 120 / 826	−18.6
7	42,003	2463.5	− 2567	−103.5	× 115 / 826	−14.4
8	42,004	2453.1	− 2586	−132.9	× 132 / 826	−21.2
11	42,005	2494.9	− 2628	−133.1	× 120 / 826	−19.3
Sum, rounded to a whole point						−102

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,901	2393.4	− 2436	−42.6	× 96 / 809	−5.1
4	41,902	2419.4	− 2485	−65.6	× 103 / 809	−8.4
5	41,903	2438.4	− 2528	−89.6	× 123 / 809	−13.6
6	41,904	2439.9	− 2552	−112.1	× 106 / 809	−14.7
7	41,905	2464.6	− 2567	−102.4	× 119 / 809	−15.1
8	41,906	2501.4	− 2586	−84.6	× 113 / 809	−11.8
11	41,907	2495.0	− 2628	−133	× 149 / 809	−24.5
Sum, rounded to a whole point						−93

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −95, −93, −92, −90, −88, −114, −113, −110, −102, −93 → −99
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 1 · 2017→2018: 2 · 2018→2019: 2 · 2019→2022: 26 · 2022→2023: 1 · 2023→2024: 3 · 2024→2025: 8 · 2025→2026: 9 → average 6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6 × 2.66 = 16. Upper limit −83, lower limit −115.

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.

Gustine Unified