Rollingwood 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	83,755	2437.0	− 2432	5	× 45 / 118	1.9
4	83,756	2464.9	− 2473	−8.1	× 42 / 118	−2.9
5	83,759	2487.3	− 2502	−14.7	× 31 / 118	−3.9
Sum, rounded to a whole point						−5

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,644	2459.2	− 2432	27.2	× 35 / 117	8.1
4	77,647	2495.3	− 2473	22.3	× 45 / 117	8.6
5	77,649	2488.5	− 2502	−13.5	× 37 / 117	−4.3
Sum, rounded to a whole point						12

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,788	2423.3	− 2432	−8.7	× 25 / 103	−2.1
4	79,789	2497.9	− 2473	24.9	× 32 / 103	7.7
5	79,792	2521.3	− 2502	19.3	× 46 / 103	8.6
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,926	2399.3	− 2432	−32.7	× 34 / 95	−11.7
4	79,929	2471.2	− 2473	−1.8	× 26 / 95	−0.5
5	79,930	2537.5	− 2502	35.5	× 35 / 95	13.1
Sum, rounded to a whole point						1

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,416	2412.8	− 2432	−19.2	× 45 / 111	−7.8
4	80,417	2451.8	− 2473	−21.2	× 36 / 111	−6.9
5	80,418	2486.0	− 2502	−16	× 30 / 111	−4.3
Sum, rounded to a whole point						−19

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,811	2383.7	− 2432	−48.3	× 30 / 99	−14.6
4	78,812	2423.7	− 2473	−49.3	× 31 / 99	−15.4
5	78,813	2497.1	− 2502	−4.9	× 38 / 99	−1.9
Sum, rounded to a whole point						−32

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,630	2393.0	− 2432	−39	× 27 / 89	−11.8
4	80,631	2432.4	− 2473	−40.6	× 29 / 89	−13.2
5	80,632	2490.2	− 2502	−11.8	× 33 / 89	−4.4
Sum, rounded to a whole point						−29

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,592	2398.4	− 2432	−33.6	× 26 / 80	−10.9
4	80,593	2435.7	− 2473	−37.3	× 26 / 80	−12.1
5	80,594	2432.5	− 2502	−69.5	× 28 / 80	−24.3
Sum, rounded to a whole point						−47

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −5, 12, 14, 1, −19, −32, −29, −47 → −13.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 17 · 2016→2017: 2 · 2017→2018: 13 · 2018→2019: 20 · 2019→2021: 13 · 2021→2022: 3 · 2022→2023: 18 → average 12.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.3 × 2.66 = 32.7. Upper limit 19.6, lower limit −45.8.

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.