Caruthers 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	12,836	2381.1	− 2436	−54.9	× 88 / 665	−7.3
4	12,838	2428.8	− 2485	−56.2	× 92 / 665	−7.8
5	12,840	2475.9	− 2528	−52.1	× 85 / 665	−6.7
6	12,842	2504.7	− 2552	−47.3	× 82 / 665	−5.8
7	12,844	2473.6	− 2567	−93.4	× 90 / 665	−12.6
8	12,846	2512.1	− 2586	−73.9	× 96 / 665	−10.7
11	12,848	2545.8	− 2628	−82.2	× 132 / 665	−16.3
Sum, rounded to a whole point						−67

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,856	2398.8	− 2436	−37.2	× 79 / 680	−4.3
4	11,858	2468.0	− 2485	−17	× 92 / 680	−2.3
5	11,861	2483.7	− 2528	−44.3	× 105 / 680	−6.8
6	11,863	2516.8	− 2552	−35.2	× 83 / 680	−4.3
7	11,865	2485.5	− 2567	−81.5	× 90 / 680	−10.8
8	11,867	2512.3	− 2586	−73.7	× 92 / 680	−10
11	11,869	2543.9	− 2628	−84.1	× 139 / 680	−17.2
Sum, rounded to a whole point						−56

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,184	2410.2	− 2436	−25.8	× 92 / 690	−3.4
4	12,185	2473.5	− 2485	−11.5	× 83 / 690	−1.4
5	12,188	2488.9	− 2528	−39.1	× 95 / 690	−5.4
6	12,189	2511.8	− 2552	−40.2	× 108 / 690	−6.3
7	12,192	2494.8	− 2567	−72.2	× 88 / 690	−9.2
8	12,193	2511.9	− 2586	−74.1	× 90 / 690	−9.7
11	12,196	2538.8	− 2628	−89.2	× 134 / 690	−17.3
Sum, rounded to a whole point						−53

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,214	2441.9	− 2436	5.9	× 87 / 709	0.7
4	12,217	2457.0	− 2485	−28	× 94 / 709	−3.7
5	12,218	2464.7	− 2528	−63.3	× 85 / 709	−7.6
6	12,221	2517.5	− 2552	−34.5	× 95 / 709	−4.6
7	12,222	2527.0	− 2567	−40	× 113 / 709	−6.4
8	12,225	2506.7	− 2586	−79.3	× 92 / 709	−10.3
11	12,226	2566.3	− 2628	−61.7	× 143 / 709	−12.4
Sum, rounded to a whole point						−44

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,316	2430.2	− 2436	−5.8	× 90 / 756	−0.7
4	12,317	2488.6	− 2485	3.6	× 97 / 756	0.5
5	12,318	2472.5	− 2528	−55.5	× 99 / 756	−7.3
6	12,319	2527.4	− 2552	−24.6	× 92 / 756	−3
7	12,320	2485.6	− 2567	−81.4	× 103 / 756	−11.1
8	12,321	2506.0	− 2586	−80	× 120 / 756	−12.7
11	12,322	2536.2	− 2628	−91.8	× 155 / 756	−18.8
Sum, rounded to a whole point						−53

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,136	2352.7	− 2436	−83.3	× 103 / 683	−12.6
4	12,137	2391.2	− 2485	−93.8	× 88 / 683	−12.1
5	12,138	2420.7	− 2528	−107.3	× 106 / 683	−16.7
6	12,139	2506.4	− 2552	−45.6	× 106 / 683	−7.1
7	12,140	2490.9	− 2567	−76.1	× 108 / 683	−12
8	12,141	2478.5	− 2586	−107.5	× 100 / 683	−15.7
11	12,142	2487.9	− 2628	−140.1	× 72 / 683	−14.8
Sum, rounded to a whole point						−91

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,323	2384.7	− 2436	−51.3	× 88 / 777	−5.8
4	12,324	2452.8	− 2485	−32.2	× 112 / 777	−4.6
5	12,325	2454.7	− 2528	−73.3	× 82 / 777	−7.7
6	12,326	2490.6	− 2552	−61.4	× 107 / 777	−8.5
7	12,327	2559.7	− 2567	−7.3	× 106 / 777	−1
8	12,328	2484.7	− 2586	−101.3	× 112 / 777	−14.6
11	12,329	2486.9	− 2628	−141.1	× 170 / 777	−30.9
Sum, rounded to a whole point						−73

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,302	2420.7	− 2436	−15.3	× 96 / 763	−1.9
4	12,303	2458.6	− 2485	−26.4	× 91 / 763	−3.1
5	12,304	2466.3	− 2528	−61.7	× 110 / 763	−8.9
6	12,305	2486.8	− 2552	−65.2	× 86 / 763	−7.3
7	12,306	2496.6	− 2567	−70.4	× 110 / 763	−10.1
8	12,307	2534.7	− 2586	−51.3	× 107 / 763	−7.2
11	12,308	2500.7	− 2628	−127.3	× 163 / 763	−27.2
Sum, rounded to a whole point						−66

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,275	2407.5	− 2436	−28.5	× 81 / 752	−3.1
4	12,276	2476.6	− 2485	−8.4	× 98 / 752	−1.1
5	12,277	2468.2	− 2528	−59.8	× 94 / 752	−7.5
6	12,278	2492.9	− 2552	−59.1	× 119 / 752	−9.4
7	12,279	2506.1	− 2567	−60.9	× 85 / 752	−6.9
8	12,280	2519.6	− 2586	−66.4	× 109 / 752	−9.6
11	12,281	2513.1	− 2628	−114.9	× 166 / 752	−25.4
Sum, rounded to a whole point						−63

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,232	2432.2	− 2436	−3.8	× 97 / 825	−0.4
4	12,233	2470.7	− 2485	−14.3	× 99 / 825	−1.7
5	12,234	2483.5	− 2528	−44.5	× 114 / 825	−6.1
6	12,235	2508.1	− 2552	−43.9	× 109 / 825	−5.8
7	12,236	2507.0	− 2567	−60	× 138 / 825	−10
8	12,237	2518.0	− 2586	−68	× 99 / 825	−8.2
11	12,238	2487.4	− 2628	−140.6	× 169 / 825	−28.8
Sum, rounded to a whole point						−61

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −67, −56, −53, −44, −53, −91, −73, −66, −63, −61 → −62.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 3 · 2017→2018: 9 · 2018→2019: 9 · 2019→2021: 38 · 2021→2022: 18 · 2022→2023: 7 · 2023→2024: 3 · 2024→2025: 2 → average 11.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.1 × 2.66 = 29.5. Upper limit −33.2, lower limit −92.2.

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.