Tranquillity 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	12,719	2335.9	− 2432	−96.1	× 28 / 171	−15.7
4	12,721	2382.8	− 2473	−90.2	× 36 / 171	−19
5	12,723	2371.3	− 2502	−130.7	× 32 / 171	−24.5
6	12,725	2438.3	− 2531	−92.7	× 32 / 171	−17.3
7	12,727	2499.5	− 2552	−52.5	× 20 / 171	−6.1
8	12,729	2453.6	− 2567	−113.4	× 23 / 171	−15.3
Sum, rounded to a whole point						−98

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,743	2343.3	− 2432	−88.7	× 22 / 170	−11.5
4	11,744	2365.1	− 2473	−107.9	× 28 / 170	−17.8
5	11,747	2395.6	− 2502	−106.4	× 37 / 170	−23.2
6	11,748	2419.9	− 2531	−111.1	× 31 / 170	−20.3
7	11,751	2461.8	− 2552	−90.2	× 35 / 170	−18.6
8	11,753	2496.5	− 2567	−70.5	× 17 / 170	−7.1
Sum, rounded to a whole point						−98

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,072	2381.0	− 2432	−51	× 25 / 174	−7.3
4	12,075	2355.6	− 2473	−117.4	× 18 / 174	−12.1
5	12,076	2386.4	− 2502	−115.6	× 32 / 174	−21.3
6	12,079	2391.9	− 2531	−139.1	× 36 / 174	−28.8
7	12,080	2436.4	− 2552	−115.6	× 30 / 174	−19.9
8	12,082	2457.6	− 2567	−109.4	× 33 / 174	−20.7
Sum, rounded to a whole point						−110

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,108	2347.2	− 2432	−84.8	× 20 / 147	−11.5
4	12,111	2393.7	− 2473	−79.3	× 21 / 147	−11.3
5	12,112	2419.2	− 2502	−82.8	× 18 / 147	−10.1
6	12,115	2385.3	− 2531	−145.7	× 30 / 147	−29.7
7	12,116	2428.4	− 2552	−123.6	× 30 / 147	−25.2
8	12,119	2445.3	− 2567	−121.7	× 28 / 147	−23.2
Sum, rounded to a whole point						−111

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,196	2341.5	− 2432	−90.5	× 15 / 169	−8
4	12,197	2365.1	− 2473	−107.9	× 19 / 169	−12.1
5	12,198	2436.9	− 2502	−65.1	× 29 / 169	−11.2
6	12,199	2413.6	− 2531	−117.4	× 27 / 169	−18.8
7	12,200	2416.4	− 2552	−135.6	× 48 / 169	−38.5
8	12,201	2446.2	− 2567	−120.8	× 31 / 169	−22.2
Sum, rounded to a whole point						−111

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,018	2357.6	− 2432	−74.4	× 19 / 108	−13.1
4	12,019	2314.4	− 2473	−158.6	× 17 / 108	−25
5	12,020	2412.8	− 2502	−89.2	× 15 / 108	−12.4
6	12,021	2415.6	− 2531	−115.4	× 16 / 108	−17.1
7	12,022	2468.0	− 2552	−84	× 21 / 108	−16.3
8	12,023	2434.7	− 2567	−132.3	× 20 / 108	−24.5
Sum, rounded to a whole point						−108

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,205	2317.2	− 2432	−114.8	× 19 / 117	−18.6
4	12,206	2339.8	− 2473	−133.2	× 25 / 117	−28.5
5	12,207	2388.4	− 2502	−113.6	× 18 / 117	−17.5
6	12,208	2423.7	− 2531	−107.3	× 19 / 117	−17.4
7	12,209	2419.7	− 2552	−132.3	× 17 / 117	−19.2
8	12,210	2478.0	− 2567	−89	× 19 / 117	−14.5
Sum, rounded to a whole point						−116

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,184	2374.7	− 2432	−57.3	× 20 / 117	−9.8
4	12,185	2311.9	− 2473	−161.1	× 19 / 117	−26.2
5	12,186	2405.6	− 2502	−96.4	× 24 / 117	−19.8
6	12,187	2444.2	− 2531	−86.8	× 18 / 117	−13.4
7	12,188	2486.9	− 2552	−65.1	× 21 / 117	−11.7
8	12,189	2473.2	− 2567	−93.8	× 15 / 117	−12
Sum, rounded to a whole point						−93

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,147	2360.0	− 2432	−72	× 20 / 124	−11.6
4	12,148	2384.1	− 2473	−88.9	× 21 / 124	−15.1
5	12,149	2398.4	− 2502	−103.6	× 21 / 124	−17.5
6	12,150	2442.1	− 2531	−88.9	× 23 / 124	−16.5
7	12,151	2508.8	− 2552	−43.2	× 19 / 124	−6.6
8	12,152	2442.7	− 2567	−124.3	× 20 / 124	−20
Sum, rounded to a whole point						−87

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,100	2366.7	− 2432	−65.3	× 26 / 137	−12.4
4	12,101	2391.8	− 2473	−81.2	× 22 / 137	−13
5	12,102	2447.4	− 2502	−54.6	× 25 / 137	−10
6	12,103	2431.1	− 2531	−99.9	× 23 / 137	−16.8
7	12,104	2507.7	− 2552	−44.3	× 22 / 137	−7.1
8	12,105	2521.4	− 2567	−45.6	× 19 / 137	−6.3
Sum, rounded to a whole point						−66

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −98, −98, −110, −111, −111, −108, −116, −93, −87, −66 → −99.8
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: 12 · 2017→2018: 1 · 2018→2019: 0 · 2019→2021: 3 · 2021→2022: 8 · 2022→2023: 23 · 2023→2024: 6 · 2024→2025: 21 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit −78, lower limit −121.6.

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.