Dickison Elementary: 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
3	38,968	2379.7	− 2436	−56.3	× 147 / 406	−20.4
4	38,970	2423.7	− 2485	−61.3	× 140 / 406	−21.1
5	38,972	2455.8	− 2528	−72.2	× 119 / 406	−21.2
Sum, rounded to a whole point						−63

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,134	2381.5	− 2436	−54.5	× 135 / 485	−15.2
4	36,136	2417.6	− 2485	−67.4	× 144 / 485	−20
5	36,138	2452.8	− 2528	−75.2	× 140 / 485	−21.7
6	36,140	2507.2	− 2552	−44.8	× 66 / 485	−6.1
Sum, rounded to a whole point						−63

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,879	2403.3	− 2436	−32.7	× 123 / 527	−7.6
4	36,880	2412.2	− 2485	−72.8	× 131 / 527	−18.1
5	36,883	2423.6	− 2528	−104.4	× 144 / 527	−28.5
6	36,884	2504.0	− 2552	−48	× 73 / 527	−6.6
7	36,887	2519.2	− 2567	−47.8	× 56 / 527	−5.1
Sum, rounded to a whole point						−66

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,846	2437.1	− 2436	1.1	× 103 / 481	0.2
4	36,849	2431.2	− 2485	−53.8	× 116 / 481	−13
5	36,850	2424.9	− 2528	−103.1	× 133 / 481	−28.5
6	36,853	2474.0	− 2552	−78	× 59 / 481	−9.6
7	36,854	2500.5	− 2567	−66.5	× 43 / 481	−5.9
8	36,857	2540.3	− 2586	−45.7	× 27 / 481	−2.6
Sum, rounded to a whole point						−59

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,038	2436.6	− 2436	0.6	× 100 / 441	0.1
4	37,039	2449.3	− 2485	−35.7	× 98 / 441	−7.9
5	37,040	2460.7	− 2528	−67.3	× 104 / 441	−15.9
6	37,041	2445.1	− 2552	−106.9	× 70 / 441	−17
7	37,042	2508.0	− 2567	−59	× 36 / 441	−4.8
8	37,043	2536.2	− 2586	−49.8	× 33 / 441	−3.7
Sum, rounded to a whole point						−49

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,955	2435.7	− 2436	−0.3	× 96 / 394	−0.1
4	36,956	2446.2	− 2485	−38.8	× 98 / 394	−9.7
5	36,957	2440.1	− 2528	−87.9	× 101 / 394	−22.5
6	36,958	2476.5	− 2552	−75.5	× 33 / 394	−6.3
7	36,959	2494.1	− 2567	−72.9	× 33 / 394	−6.1
8	36,960	2522.5	− 2586	−63.5	× 33 / 394	−5.3
Sum, rounded to a whole point						−50

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,988	2455.7	− 2436	19.7	× 79 / 363	4.3
4	36,989	2447.6	− 2485	−37.4	× 99 / 363	−10.2
5	36,990	2466.9	− 2528	−61.1	× 95 / 363	−16
6	36,991	2458.5	− 2552	−93.5	× 32 / 363	−8.2
7	36,992	2549.7	− 2567	−17.3	× 30 / 363	−1.4
8	36,993	2476.1	− 2586	−109.9	× 28 / 363	−8.5
Sum, rounded to a whole point						−40

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,838	2423.9	− 2436	−12.1	× 99 / 372	−3.2
4	36,839	2443.4	− 2485	−41.6	× 76 / 372	−8.5
5	36,840	2466.3	− 2528	−61.7	× 108 / 372	−17.9
6	36,841	2459.1	− 2552	−92.9	× 33 / 372	−8.2
7	36,842	2482.5	− 2567	−84.5	× 30 / 372	−6.8
8	36,843	2524.0	− 2586	−62	× 26 / 372	−4.3
Sum, rounded to a whole point						−49

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,673	2430.6	− 2436	−5.4	× 95 / 367	−1.4
4	36,674	2462.0	− 2485	−23	× 97 / 367	−6.1
5	36,675	2483.6	− 2528	−44.4	× 72 / 367	−8.7
6	36,676	2508.2	− 2552	−43.8	× 48 / 367	−5.7
7	36,677	2537.1	− 2567	−29.9	× 33 / 367	−2.7
8	36,678	2536.2	− 2586	−49.8	× 22 / 367	−3
Sum, rounded to a whole point						−28

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −63, −63, −66, −59, −49, −50, −40, −49, −28 → −51.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 3 · 2017→2018: 7 · 2018→2019: 10 · 2019→2022: 1 · 2022→2023: 10 · 2023→2024: 9 · 2024→2025: 21 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit −31.7, lower limit −72.1.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.