Davis 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 3 bar

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 58 points under the grade 3 bar. 2378 vs. 2436.
4th The average 4th grader scores 30 points under the grade 3 bar. 2407 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores just under the grade 3 bar. 2427 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 22 points under the grade 3 bar. 2414 vs. 2436. 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 4th 32 students 37 points under the grade 3 bar. 5th 50 students Just under the grade 3 bar. 6th 46 students Just under the grade 3 bar.

English learners

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

Grade bars 4th 19 students 17 points under the grade 3 bar. 5th 13 students 45 points under the grade 3 bar. 6th 13 students 89 points under the grade 3 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	79,348	2407.0	− 2436	−29	× 50 / 199	−7.3
4	79,351	2447.9	− 2485	−37.1	× 47 / 199	−8.8
5	79,352	2449.9	− 2528	−78.1	× 51 / 199	−20
6	79,355	2463.2	− 2552	−88.8	× 51 / 199	−22.8
Sum, rounded to a whole point						−59

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,530	2418.5	− 2436	−17.5	× 51 / 204	−4.4
4	73,532	2424.9	− 2485	−60.1	× 47 / 204	−13.8
5	73,534	2455.2	− 2528	−72.8	× 51 / 204	−18.2
6	73,536	2433.1	− 2552	−118.9	× 55 / 204	−32.1
Sum, rounded to a whole point						−68

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,507	2417.7	− 2436	−18.3	× 49 / 189	−4.7
4	75,509	2419.1	− 2485	−65.9	× 49 / 189	−17.1
5	75,511	2437.1	− 2528	−90.9	× 41 / 189	−19.7
6	75,514	2465.7	− 2552	−86.3	× 50 / 189	−22.8
Sum, rounded to a whole point						−64

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,694	2388.5	− 2436	−47.5	× 62 / 206	−14.3
4	75,697	2427.3	− 2485	−57.7	× 49 / 206	−13.7
5	75,699	2460.2	− 2528	−67.8	× 47 / 206	−15.5
6	75,701	2446.3	− 2552	−105.7	× 48 / 206	−24.6
Sum, rounded to a whole point						−68

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,217	2420.3	− 2436	−15.7	× 62 / 232	−4.2
4	76,218	2409.4	− 2485	−75.6	× 67 / 232	−21.8
5	76,219	2445.3	− 2528	−82.7	× 53 / 232	−18.9
6	76,220	2463.7	− 2552	−88.3	× 50 / 232	−19
Sum, rounded to a whole point						−64

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,794	2346.3	− 2436	−89.7	× 45 / 192	−21
4	74,795	2425.4	− 2485	−59.6	× 45 / 192	−14
5	74,796	2424.1	− 2528	−103.9	× 52 / 192	−28.1
6	74,797	2393.6	− 2552	−158.4	× 50 / 192	−41.3
Sum, rounded to a whole point						−104

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,385	2372.1	− 2436	−63.9	× 48 / 208	−14.7
4	76,386	2420.3	− 2485	−64.7	× 49 / 208	−15.2
5	76,387	2415.1	− 2528	−112.9	× 51 / 208	−27.7
6	76,388	2439.2	− 2552	−112.8	× 60 / 208	−32.5
Sum, rounded to a whole point						−90

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,369	2341.2	− 2436	−94.8	× 52 / 193	−25.5
4	76,370	2396.5	− 2485	−88.5	× 47 / 193	−21.6
5	76,371	2427.0	− 2528	−101	× 48 / 193	−25.1
6	76,372	2413.1	− 2552	−138.9	× 46 / 193	−33.1
Sum, rounded to a whole point						−105

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,358	2361.5	− 2436	−74.5	× 53 / 203	−19.5
4	76,359	2377.4	− 2485	−107.6	× 62 / 203	−32.9
5	76,360	2421.8	− 2528	−106.2	× 39 / 203	−20.4
6	76,361	2431.6	− 2552	−120.4	× 49 / 203	−29.1
Sum, rounded to a whole point						−102

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,031	2351.8	− 2436	−84.2	× 47 / 208	−19
4	76,032	2420.6	− 2485	−64.4	× 64 / 208	−19.8
5	76,033	2405.1	− 2528	−122.9	× 63 / 208	−37.2
6	76,034	2432.0	− 2552	−120	× 34 / 208	−19.6
Sum, rounded to a whole point						−96

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,941	2377.8	− 2436	−58.2	× 44 / 217	−11.8
4	75,942	2406.5	− 2485	−78.5	× 51 / 217	−18.4
5	75,943	2426.7	− 2528	−101.3	× 63 / 217	−29.4
6	75,944	2413.7	− 2552	−138.3	× 59 / 217	−37.6
Sum, rounded to a whole point						−97

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −59, −68, −64, −68, −64, −104, −90, −105, −102, −96, −97 → −83.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 4 · 2017→2018: 4 · 2018→2019: 4 · 2019→2021: 40 · 2021→2022: 14 · 2022→2023: 15 · 2023→2024: 3 · 2024→2025: 6 · 2025→2026: 1 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −56.8, lower limit −110.

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.