Montebello Gardens 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	34,836	2384.7	− 2436	−51.3	× 53 / 166	−16.4
4	34,838	2449.6	− 2485	−35.4	× 62 / 166	−13.2
5	34,840	2480.4	− 2528	−47.6	× 51 / 166	−14.6
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,549	2372.3	− 2436	−63.7	× 62 / 176	−22.4
4	32,551	2433.6	− 2485	−51.4	× 54 / 176	−15.8
5	32,553	2491.0	− 2528	−37	× 60 / 176	−12.6
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,122	2429.2	− 2436	−6.8	× 64 / 172	−2.5
4	33,123	2433.2	− 2485	−51.8	× 60 / 172	−18.1
5	33,125	2461.7	− 2528	−66.3	× 48 / 172	−18.5
Sum, rounded to a whole point						−39

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,140	2423.5	− 2436	−12.5	× 47 / 159	−3.7
4	33,142	2489.2	− 2485	4.2	× 58 / 159	1.5
5	33,144	2488.6	− 2528	−39.4	× 54 / 159	−13.4
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,315	2453.6	− 2436	17.6	× 55 / 150	6.5
4	33,316	2490.1	− 2485	5.1	× 47 / 150	1.6
5	33,317	2554.7	− 2528	26.7	× 48 / 150	8.5
Sum, rounded to a whole point						17

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,520	2418.4	− 2436	−17.6	× 31 / 119	−4.6
4	32,521	2435.5	− 2485	−49.5	× 31 / 119	−12.9
5	32,522	2450.4	− 2528	−77.6	× 57 / 119	−37.2
Sum, rounded to a whole point						−55

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,266	2438.5	− 2436	2.5	× 39 / 113	0.9
4	33,267	2472.1	− 2485	−12.9	× 42 / 113	−4.8
5	33,268	2494.6	− 2528	−33.4	× 32 / 113	−9.5
Sum, rounded to a whole point						−13

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,319	2470.8	− 2436	34.8	× 33 / 103	11.1
4	33,320	2489.7	− 2485	4.7	× 32 / 103	1.5
5	33,321	2529.4	− 2528	1.4	× 38 / 103	0.5
Sum, rounded to a whole point						13

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,181	2451.2	− 2436	15.2	× 31 / 103	4.6
4	33,182	2491.1	− 2485	6.1	× 32 / 103	1.9
5	33,183	2533.4	− 2528	5.4	× 40 / 103	2.1
Sum, rounded to a whole point						9

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,040	2447.8	− 2436	11.8	× 40 / 105	4.5
4	33,041	2497.0	− 2485	12	× 31 / 105	3.5
5	33,042	2524.8	− 2528	−3.2	× 34 / 105	−1
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. −44, −51, −39, −16, 17, −55, −13, 13, 9, 7 → −17.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 12 · 2017→2018: 23 · 2018→2019: 33 · 2019→2021: 72 · 2021→2022: 42 · 2022→2023: 26 · 2023→2024: 4 · 2024→2025: 2 → average 24.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 24.6 × 2.66 = 65.4. Upper limit 48.2, lower limit −82.6.

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.