Marengo Ranch 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	61,010	2424.2	− 2432	−7.8	× 80 / 352	−1.8
4	61,012	2442.1	− 2473	−30.9	× 91 / 352	−8
5	61,014	2481.9	− 2502	−20.1	× 98 / 352	−5.6
6	61,016	2508.3	− 2531	−22.7	× 83 / 352	−5.4
Sum, rounded to a whole point						−21

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,602	2432.0	− 2432	0	× 65 / 351	0
4	56,604	2464.5	− 2473	−8.5	× 91 / 351	−2.2
5	56,606	2491.1	− 2502	−10.9	× 94 / 351	−2.9
6	56,608	2502.1	− 2531	−28.9	× 101 / 351	−8.3
Sum, rounded to a whole point						−13

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,244	2414.4	− 2432	−17.6	× 71 / 329	−3.8
4	58,246	2442.9	− 2473	−30.1	× 66 / 329	−6
5	58,248	2485.1	− 2502	−16.9	× 96 / 329	−4.9
6	58,250	2480.7	− 2531	−50.3	× 96 / 329	−14.7
Sum, rounded to a whole point						−29

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,378	2443.3	− 2432	11.3	× 66 / 291	2.6
4	58,379	2472.1	− 2473	−0.9	× 67 / 291	−0.2
5	58,382	2515.6	− 2502	13.6	× 64 / 291	3
6	58,383	2517.8	− 2531	−13.2	× 94 / 291	−4.3
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	58,616	2444.7	− 2432	12.7	× 86 / 295	3.7
4	58,617	2473.2	− 2473	0.2	× 70 / 295	0
5	58,618	2502.1	− 2502	0.1	× 68 / 295	0
6	58,619	2525.8	− 2531	−5.2	× 71 / 295	−1.3
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	58,691	2459.3	− 2432	27.3	× 72 / 311	6.3
4	58,692	2457.8	− 2473	−15.2	× 88 / 311	−4.3
5	58,693	2525.1	− 2502	23.1	× 64 / 311	4.8
6	58,694	2533.3	− 2531	2.3	× 87 / 311	0.6
Sum, rounded to a whole point						7

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,649	2438.7	− 2432	6.7	× 70 / 291	1.6
4	58,650	2470.6	− 2473	−2.4	× 74 / 291	−0.6
5	58,651	2517.8	− 2502	15.8	× 81 / 291	4.4
6	58,652	2526.5	− 2531	−4.5	× 66 / 291	−1
Sum, rounded to a whole point						4

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,560	2467.2	− 2432	35.2	× 57 / 299	6.7
4	58,561	2465.6	− 2473	−7.4	× 72 / 299	−1.8
5	58,562	2500.2	− 2502	−1.8	× 83 / 299	−0.5
6	58,563	2542.9	− 2531	11.9	× 87 / 299	3.5
Sum, rounded to a whole point						8

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,317	2453.3	− 2432	21.3	× 59 / 265	4.7
4	58,318	2462.9	− 2473	−10.1	× 57 / 265	−2.2
5	58,319	2507.3	− 2502	5.3	× 72 / 265	1.4
6	58,320	2540.9	− 2531	9.9	× 77 / 265	2.9
Sum, rounded to a whole point						7

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −21, −13, −29, 1, 3, 7, 4, 8, 7 → −3.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 16 · 2017→2018: 30 · 2018→2019: 2 · 2019→2022: 4 · 2022→2023: 3 · 2023→2024: 4 · 2024→2025: 1 → average 8.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.5 × 2.66 = 22.6. Upper limit 18.9, lower limit −26.3.

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.