Centerville Elementary: english

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	11,894	2379.9	− 2432	−52.1	× 38 / 148	−13.4
4	11,897	2423.1	− 2473	−49.9	× 47 / 148	−15.8
5	11,898	2489.6	− 2502	−12.4	× 32 / 148	−2.7
6	11,901	2513.5	− 2531	−17.5	× 31 / 148	−3.7
Sum, rounded to a whole point						−36

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,904	2377.7	− 2432	−54.3	× 43 / 149	−15.7
4	10,907	2436.1	− 2473	−36.9	× 33 / 149	−8.2
5	10,908	2468.3	− 2502	−33.7	× 43 / 149	−9.7
6	10,910	2520.7	− 2531	−10.3	× 30 / 149	−2.1
Sum, rounded to a whole point						−36

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,235	2407.0	− 2432	−25	× 42 / 146	−7.2
4	11,236	2455.8	− 2473	−17.2	× 35 / 146	−4.1
5	11,239	2476.3	− 2502	−25.7	× 35 / 146	−6.2
6	11,240	2477.6	− 2531	−53.4	× 34 / 146	−12.4
Sum, rounded to a whole point						−30

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,269	2431.2	− 2432	−0.8	× 25 / 124	−0.2
4	11,271	2445.9	− 2473	−27.1	× 38 / 124	−8.3
5	11,273	2474.9	− 2502	−27.1	× 31 / 124	−6.8
6	11,275	2546.4	− 2531	15.4	× 30 / 124	3.7
Sum, rounded to a whole point						−12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,354	2399.4	− 2432	−32.6	× 48 / 134	−11.7
4	11,355	2486.7	− 2473	13.7	× 28 / 134	2.9
5	11,356	2512.1	− 2502	10.1	× 31 / 134	2.3
6	11,357	2548.1	− 2531	17.1	× 27 / 134	3.4
Sum, rounded to a whole point						−3

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,325	2372.5	− 2432	−59.5	× 40 / 164	−14.5
4	11,326	2447.8	− 2473	−25.2	× 48 / 164	−7.4
5	11,327	2505.2	− 2502	3.2	× 38 / 164	0.7
6	11,328	2523.6	− 2531	−7.4	× 38 / 164	−1.7
Sum, rounded to a whole point						−23

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,310	2400.4	− 2432	−31.6	× 56 / 192	−9.2
4	11,311	2389.1	− 2473	−83.9	× 42 / 192	−18.4
5	11,312	2487.4	− 2502	−14.6	× 48 / 192	−3.7
6	11,313	2493.4	− 2531	−37.6	× 34 / 192	−6.7
7	11,314	2571.0	− 2552	19	× 12 / 192	1.2
Sum, rounded to a whole point						−37

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,263	2383.3	− 2432	−48.7	× 56 / 222	−12.3
4	11,264	2436.7	− 2473	−36.3	× 52 / 222	−8.5
5	11,265	2469.3	− 2502	−32.7	× 39 / 222	−5.7
6	11,266	2507.5	− 2531	−23.5	× 43 / 222	−4.6
7	11,267	2539.8	− 2552	−12.2	× 20 / 222	−1.1
8	11,268	2544.4	− 2567	−22.6	× 12 / 222	−1.2
Sum, rounded to a whole point						−33

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,196	2398.7	− 2432	−33.3	× 49 / 224	−7.3
4	11,197	2433.6	− 2473	−39.4	× 50 / 224	−8.8
5	11,198	2467.9	− 2502	−34.1	× 48 / 224	−7.3
6	11,199	2465.4	− 2531	−65.6	× 33 / 224	−9.7
7	11,200	2548.7	− 2552	−3.3	× 26 / 224	−0.4
8	11,201	2571.1	− 2567	4.1	× 18 / 224	0.3
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −36, −36, −30, −12, −3, −23, −37, −33, −33 → −27
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: 6 · 2017→2018: 18 · 2018→2019: 9 · 2019→2022: 20 · 2022→2023: 14 · 2023→2024: 4 · 2024→2025: 0 → average 8.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.9 × 2.66 = 23.7. Upper limit −3.3, lower limit −50.7.

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.