Calistoga 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 just under the grade 3 bar. 2431 vs. 2436.
4th The average 4th grader scores 31 points under the grade 4 bar. 2454 vs. 2485.
5th The average 5th grader scores 25 points under the grade 5 bar. 2503 vs. 2528.
6th The average 6th grader scores 18 points under the grade 5 bar. 2510 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 4th 40 students Just under the grade 4 bar. 5th 43 students 10 points under the grade 5 bar.

English learners

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

Grade bars 4th 21 students 23 points under the grade 3 bar. 5th 16 students 23 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	46,763	2424.8	− 2436	−11.2	× 71 / 270	−2.9
4	46,766	2438.4	− 2485	−46.6	× 74 / 270	−12.8
5	46,767	2488.6	− 2528	−39.4	× 63 / 270	−9.2
6	46,770	2556.4	− 2552	4.4	× 62 / 270	1
Sum, rounded to a whole point						−24

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,480	2434.7	− 2436	−1.3	× 63 / 271	−0.3
4	43,482	2443.1	− 2485	−41.9	× 71 / 271	−11
5	43,483	2477.1	− 2528	−50.9	× 78 / 271	−14.7
6	43,485	2538.6	− 2552	−13.4	× 59 / 271	−2.9
Sum, rounded to a whole point						−29

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,548	2412.7	− 2436	−23.3	× 62 / 270	−5.4
4	44,550	2485.4	− 2485	0.4	× 64 / 270	0.1
5	44,553	2466.0	− 2528	−62	× 67 / 270	−15.4
6	44,554	2536.2	− 2552	−15.8	× 77 / 270	−4.5
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,563	2413.7	− 2436	−22.3	× 61 / 263	−5.2
4	44,566	2444.1	− 2485	−40.9	× 62 / 263	−9.6
5	44,567	2529.7	− 2528	1.7	× 66 / 263	0.4
6	44,570	2518.8	− 2552	−33.2	× 74 / 263	−9.3
Sum, rounded to a whole point						−24

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,703	2438.3	− 2436	2.3	× 69 / 257	0.6
4	44,704	2461.9	− 2485	−23.1	× 63 / 257	−5.7
5	44,705	2499.1	− 2528	−28.9	× 61 / 257	−6.9
6	44,706	2557.7	− 2552	5.7	× 64 / 257	1.4
Sum, rounded to a whole point						−10

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,453	2418.4	− 2436	−17.6	× 54 / 242	−3.9
4	44,454	2465.5	− 2485	−19.5	× 61 / 242	−4.9
5	44,455	2486.8	− 2528	−41.2	× 59 / 242	−10
6	44,456	2526.8	− 2552	−25.2	× 68 / 242	−7.1
Sum, rounded to a whole point						−26

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,435	2413.1	− 2436	−22.9	× 56 / 227	−5.6
4	44,436	2464.1	− 2485	−20.9	× 55 / 227	−5.1
5	44,437	2493.9	− 2528	−34.1	× 57 / 227	−8.6
6	44,438	2520.7	− 2552	−31.3	× 59 / 227	−8.1
Sum, rounded to a whole point						−27

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,278	2433.3	− 2436	−2.7	× 54 / 218	−0.7
4	44,279	2445.9	− 2485	−39.1	× 54 / 218	−9.7
5	44,280	2489.9	− 2528	−38.1	× 51 / 218	−8.9
6	44,281	2535.0	− 2552	−17	× 59 / 218	−4.6
Sum, rounded to a whole point						−24

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,008	2412.7	− 2436	−23.3	× 57 / 230	−5.8
4	44,009	2477.2	− 2485	−7.8	× 59 / 230	−2
5	44,010	2488.6	− 2528	−39.4	× 58 / 230	−9.9
6	44,011	2526.8	− 2552	−25.2	× 56 / 230	−6.1
Sum, rounded to a whole point						−24

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,879	2430.9	− 2436	−5.1	× 42 / 218	−1
4	43,880	2454.3	− 2485	−30.7	× 61 / 218	−8.6
5	43,881	2502.8	− 2528	−25.2	× 59 / 218	−6.8
6	43,882	2509.6	− 2552	−42.4	× 56 / 218	−10.9
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. −24, −29, −25, −24, −10, −26, −27, −24, −24, −27 → −24
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 4 · 2017→2018: 1 · 2018→2019: 14 · 2019→2022: 16 · 2022→2023: 1 · 2023→2024: 3 · 2024→2025: 0 · 2025→2026: 3 → average 5.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.2 × 2.66 = 13.8. Upper limit −10.2, lower limit −37.8.

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.