Montevideo 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	52,550	2423.8	− 2436	−12.2	× 72 / 258	−3.4
4	52,552	2506.9	− 2485	21.9	× 49 / 258	4.2
5	52,553	2488.3	− 2528	−39.7	× 65 / 258	−10
6	52,555	2543.5	− 2552	−8.5	× 72 / 258	−2.4
Sum, rounded to a whole point						−12

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,825	2435.6	− 2436	−0.4	× 56 / 242	−0.1
4	48,827	2487.8	− 2485	2.8	× 70 / 242	0.8
5	48,830	2506.7	− 2528	−21.3	× 51 / 242	−4.5
6	48,832	2558.2	− 2552	6.2	× 65 / 242	1.7
Sum, rounded to a whole point						−2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,161	2449.6	− 2436	13.6	× 52 / 222	3.2
4	50,164	2479.3	− 2485	−5.7	× 54 / 222	−1.4
5	50,166	2512.8	− 2528	−15.2	× 66 / 222	−4.5
6	50,168	2558.8	− 2552	6.8	× 50 / 222	1.5
Sum, rounded to a whole point						−1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,190	2452.6	− 2436	16.6	× 45 / 197	3.8
4	50,192	2493.8	− 2485	8.8	× 43 / 197	1.9
5	50,194	2518.1	− 2528	−9.9	× 49 / 197	−2.5
6	50,196	2554.9	− 2552	2.9	× 60 / 197	0.9
Sum, rounded to a whole point						4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,383	2448.6	− 2436	12.6	× 40 / 162	3.1
4	50,384	2491.0	− 2485	6	× 42 / 162	1.6
5	50,385	2527.6	− 2528	−0.4	× 36 / 162	−0.1
6	50,386	2575.5	− 2552	23.5	× 44 / 162	6.4
Sum, rounded to a whole point						11

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,285	2443.4	− 2436	7.4	× 57 / 299	1.4
4	50,286	2496.2	− 2485	11.2	× 67 / 299	2.5
5	50,287	2515.2	− 2528	−12.8	× 82 / 299	−3.5
6	50,288	2542.2	− 2552	−9.8	× 93 / 299	−3
Sum, rounded to a whole point						−3

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,245	2447.7	− 2436	11.7	× 63 / 278	2.7
4	50,246	2504.7	− 2485	19.7	× 60 / 278	4.3
5	50,247	2492.2	− 2528	−35.8	× 69 / 278	−8.9
6	50,248	2551.3	− 2552	−0.7	× 86 / 278	−0.2
Sum, rounded to a whole point						−2

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,100	2441.1	− 2436	5.1	× 61 / 247	1.3
4	50,101	2503.9	− 2485	18.9	× 57 / 247	4.4
5	50,102	2531.3	− 2528	3.3	× 62 / 247	0.8
6	50,103	2523.8	− 2552	−28.2	× 67 / 247	−7.6
Sum, rounded to a whole point						−1

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,856	2443.5	− 2436	7.5	× 53 / 234	1.7
4	49,857	2519.4	− 2485	34.4	× 63 / 234	9.3
5	49,858	2533.2	− 2528	5.2	× 54 / 234	1.2
6	49,859	2556.9	− 2552	4.9	× 64 / 234	1.3
Sum, rounded to a whole point						14

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −12, −2, −1, 4, 11, −3, −2, −1, 14 → 0.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 1 · 2017→2018: 5 · 2018→2019: 7 · 2019→2022: 14 · 2022→2023: 1 · 2023→2024: 1 · 2024→2025: 15 → average 6.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.8 × 2.66 = 18.1. Upper limit 19, lower limit −17.2.

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.