Herndon-Barstow 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	12,404	2440.5	− 2436	4.5	× 76 / 290	1.2
4	12,405	2470.6	− 2485	−14.4	× 83 / 290	−4.1
5	12,408	2465.5	− 2528	−62.5	× 79 / 290	−17
6	12,409	2473.2	− 2552	−78.8	× 52 / 290	−14.1
Sum, rounded to a whole point						−34

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,431	2426.2	− 2436	−9.8	× 96 / 334	−2.8
4	11,433	2484.7	− 2485	−0.3	× 76 / 334	−0.1
5	11,434	2495.7	− 2528	−32.3	× 81 / 334	−7.8
6	11,437	2519.3	− 2552	−32.7	× 81 / 334	−7.9
Sum, rounded to a whole point						−19

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,763	2447.6	− 2436	11.6	× 84 / 348	2.8
4	11,764	2481.6	− 2485	−3.4	× 101 / 348	−1
5	11,767	2501.2	− 2528	−26.8	× 80 / 348	−6.2
6	11,769	2529.6	− 2552	−22.4	× 83 / 348	−5.3
Sum, rounded to a whole point						−10

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,799	2456.5	− 2436	20.5	× 81 / 367	4.5
4	11,801	2495.0	− 2485	10	× 95 / 367	2.6
5	11,803	2508.4	− 2528	−19.6	× 98 / 367	−5.2
6	11,805	2534.6	− 2552	−17.4	× 93 / 367	−4.4
Sum, rounded to a whole point						−3

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,891	2460.9	− 2436	24.9	× 80 / 342	5.8
4	11,892	2500.6	− 2485	15.6	× 78 / 342	3.6
5	11,893	2508.9	− 2528	−19.1	× 90 / 342	−5
6	11,894	2535.6	− 2552	−16.4	× 94 / 342	−4.5
Sum, rounded to a whole point						0

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,882	2431.0	− 2436	−5	× 84 / 356	−1.2
4	11,883	2457.3	− 2485	−27.7	× 89 / 356	−6.9
5	11,884	2486.0	− 2528	−42	× 91 / 356	−10.7
6	11,885	2530.8	− 2552	−21.2	× 92 / 356	−5.5
Sum, rounded to a whole point						−24

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,865	2450.4	− 2436	14.4	× 80 / 358	3.2
4	11,866	2463.4	− 2485	−21.6	× 100 / 358	−6
5	11,867	2463.8	− 2528	−64.2	× 88 / 358	−15.8
6	11,868	2523.4	− 2552	−28.6	× 90 / 358	−7.2
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,828	2420.5	− 2436	−15.5	× 93 / 384	−3.8
4	11,829	2500.1	− 2485	15.1	× 90 / 384	3.5
5	11,830	2495.7	− 2528	−32.3	× 104 / 384	−8.7
6	11,831	2517.9	− 2552	−34.1	× 97 / 384	−8.6
Sum, rounded to a whole point						−18

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,771	2434.2	− 2436	−1.8	× 106 / 395	−0.5
4	11,772	2464.9	− 2485	−20.1	× 94 / 395	−4.8
5	11,773	2537.3	− 2528	9.3	× 96 / 395	2.3
6	11,774	2542.7	− 2552	−9.3	× 99 / 395	−2.3
Sum, rounded to a whole point						−5

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −34, −19, −10, −3, 0, −24, −26, −18, −5 → −15.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 9 · 2017→2018: 7 · 2018→2019: 3 · 2019→2022: 24 · 2022→2023: 2 · 2023→2024: 8 · 2024→2025: 13 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit 11.5, lower limit −42.3.

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.