William H. Frazier 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

All students

3rd The average 3rd grader scores 20 points under the grade 3 bar. 2416 vs. 2436.
4th The average 4th grader scores 19 points under the grade 4 bar. 2466 vs. 2485.
5th The average 5th grader scores 33 points under the grade 5 bar. 2495 vs. 2528.
6th The average 6th grader scores 10 points under the grade 5 bar. 2518 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 56 students Meets the grade 3 bar. 4th 59 students 13 points under the grade 4 bar. 5th 48 students Meets the grade 5 bar. 6th 68 students 16 points under the grade 6 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 16 students 104 points under the grade 3 bar. 4th 11 students Just under the grade 3 bar. 5th 24 students 33 points under the grade 3 bar. 6th 16 students 46 points under the grade 4 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	71,764	2411.0	− 2436	−25	× 101 / 352	−7.2
4	71,767	2457.3	− 2485	−27.7	× 88 / 352	−6.9
5	71,768	2477.6	− 2528	−50.4	× 74 / 352	−10.6
6	71,771	2505.5	− 2552	−46.5	× 89 / 352	−11.8
Sum, rounded to a whole point						−36

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,571	2429.2	− 2436	−6.8	× 70 / 308	−1.5
4	66,573	2442.8	− 2485	−42.2	× 80 / 308	−11
5	66,574	2443.5	− 2528	−84.5	× 84 / 308	−23
6	66,576	2476.8	− 2552	−75.2	× 74 / 308	−18.1
Sum, rounded to a whole point						−54

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,404	2449.8	− 2436	13.8	× 73 / 302	3.3
4	68,406	2460.3	− 2485	−24.7	× 65 / 302	−5.3
5	68,407	2494.5	− 2528	−33.5	× 85 / 302	−9.4
6	68,410	2519.4	− 2552	−32.6	× 79 / 302	−8.5
Sum, rounded to a whole point						−20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,552	2442.9	− 2436	6.9	× 69 / 287	1.7
4	68,554	2490.9	− 2485	5.9	× 66 / 287	1.4
5	68,556	2502.9	− 2528	−25.1	× 68 / 287	−5.9
6	68,558	2494.0	− 2552	−58	× 84 / 287	−17
Sum, rounded to a whole point						−20

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,067	2425.5	− 2436	−10.5	× 81 / 297	−2.9
4	69,068	2467.8	− 2485	−17.2	× 73 / 297	−4.2
5	69,069	2518.7	− 2528	−9.3	× 71 / 297	−2.2
6	69,070	2521.7	− 2552	−30.3	× 72 / 297	−7.3
Sum, rounded to a whole point						−17

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,125	2384.9	− 2436	−51.1	× 60 / 304	−10.1
4	69,126	2447.2	− 2485	−37.8	× 77 / 304	−9.6
5	69,127	2453.8	− 2528	−74.2	× 86 / 304	−21
6	69,128	2473.7	− 2552	−78.3	× 81 / 304	−20.9
Sum, rounded to a whole point						−62

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,155	2380.2	− 2436	−55.8	× 90 / 332	−15.1
4	69,156	2459.6	− 2485	−25.4	× 66 / 332	−5
5	69,157	2481.0	− 2528	−47	× 81 / 332	−11.5
6	69,158	2472.8	− 2552	−79.2	× 95 / 332	−22.7
Sum, rounded to a whole point						−54

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,147	2412.0	− 2436	−24	× 77 / 328	−5.6
4	69,148	2438.0	− 2485	−47	× 94 / 328	−13.5
5	69,149	2479.9	− 2528	−48.1	× 73 / 328	−10.7
6	69,150	2484.6	− 2552	−67.4	× 84 / 328	−17.3
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,905	2430.0	− 2436	−6	× 72 / 310	−1.4
4	68,906	2447.3	− 2485	−37.7	× 75 / 310	−9.1
5	68,907	2463.6	− 2528	−64.4	× 87 / 310	−18.1
6	68,908	2517.8	− 2552	−34.2	× 76 / 310	−8.4
Sum, rounded to a whole point						−37

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,942	2416.3	− 2436	−19.7	× 72 / 298	−4.8
4	68,943	2466.0	− 2485	−19	× 70 / 298	−4.5
5	68,944	2494.6	− 2528	−33.4	× 72 / 298	−8.1
6	68,945	2517.7	− 2552	−34.3	× 84 / 298	−9.7
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −36, −54, −20, −20, −17, −62, −54, −47, −37, −27 → −37.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 34 · 2017→2018: 0 · 2018→2019: 3 · 2019→2022: 45 · 2022→2023: 8 · 2023→2024: 7 · 2024→2025: 10 · 2025→2026: 10 → average 15
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15 × 2.66 = 39.9. Upper limit 2.5, lower limit −77.3.

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.