Hollingworth 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	39,768	2399.2	− 2436	−36.8	× 67 / 238	−10.4
4	39,769	2429.8	− 2485	−55.2	× 61 / 238	−14.1
5	39,772	2450.7	− 2528	−77.3	× 55 / 238	−17.9
6	39,773	2488.2	− 2552	−63.8	× 55 / 238	−14.7
Sum, rounded to a whole point						−57

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,842	2406.7	− 2436	−29.3	× 33 / 196	−4.9
4	36,844	2455.9	− 2485	−29.1	× 51 / 196	−7.6
5	36,846	2449.4	− 2528	−78.6	× 60 / 196	−24.1
6	36,848	2475.2	− 2552	−76.8	× 52 / 196	−20.4
Sum, rounded to a whole point						−57

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,620	2398.0	− 2436	−38	× 52 / 191	−10.3
4	37,622	2467.4	− 2485	−17.6	× 29 / 191	−2.7
5	37,624	2472.2	− 2528	−55.8	× 55 / 191	−16.1
6	37,626	2497.0	− 2552	−55	× 55 / 191	−15.8
Sum, rounded to a whole point						−45

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,566	2417.0	− 2436	−19	× 29 / 192	−2.9
4	37,568	2437.3	− 2485	−47.7	× 64 / 192	−15.9
5	37,570	2493.3	− 2528	−34.7	× 34 / 192	−6.1
6	37,572	2537.8	− 2552	−14.2	× 65 / 192	−4.8
Sum, rounded to a whole point						−30

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,776	2408.3	− 2436	−27.7	× 46 / 176	−7.2
4	37,777	2450.7	− 2485	−34.3	× 34 / 176	−6.6
5	37,778	2482.2	− 2528	−45.8	× 64 / 176	−16.7
6	37,779	2578.5	− 2552	26.5	× 32 / 176	4.8
Sum, rounded to a whole point						−26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,665	2358.3	− 2436	−77.7	× 55 / 173	−24.7
4	37,666	2417.5	− 2485	−67.5	× 32 / 173	−12.5
5	37,667	2431.2	− 2528	−96.8	× 41 / 173	−22.9
6	37,668	2536.9	− 2552	−15.1	× 45 / 173	−3.9
Sum, rounded to a whole point						−64

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,710	2379.3	− 2436	−56.7	× 47 / 174	−15.3
4	37,711	2403.5	− 2485	−81.5	× 56 / 174	−26.2
5	37,712	2496.8	− 2528	−31.2	× 28 / 174	−5
6	37,713	2496.7	− 2552	−55.3	× 43 / 174	−13.7
Sum, rounded to a whole point						−60

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,560	2382.6	− 2436	−53.4	× 43 / 172	−13.4
4	37,561	2433.3	− 2485	−51.7	× 44 / 172	−13.2
5	37,562	2441.7	− 2528	−86.3	× 55 / 172	−27.6
6	37,563	2573.5	− 2552	21.5	× 30 / 172	3.8
Sum, rounded to a whole point						−50

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,337	2391.5	− 2436	−44.5	× 43 / 185	−10.3
4	37,338	2430.0	− 2485	−55	× 42 / 185	−12.5
5	37,339	2458.5	− 2528	−69.5	× 45 / 185	−16.9
6	37,340	2522.4	− 2552	−29.6	× 55 / 185	−8.8
Sum, rounded to a whole point						−49

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −57, −57, −45, −30, −26, −64, −60, −50, −49 → −48.7
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: 15 · 2018→2019: 4 · 2019→2022: 38 · 2022→2023: 4 · 2023→2024: 10 · 2024→2025: 1 → average 10.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.5 × 2.66 = 27.9. Upper limit −20.8, lower limit −76.6.

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.