Pulliam 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 8.

All students

3rd The average 3rd grader scores 58 points under the grade 3 bar. 2378 vs. 2436.
4th The average 4th grader scores 31 points under the grade 3 bar. 2405 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores just under the grade 3 bar. 2433 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 30 points under the grade 4 bar. 2455 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 41 points under the grade 4 bar. 2444 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 38 points under the grade 4 bar. 2448 vs. 2485. The 8th-grade bar is 2586.

Students fluent in English

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

Grade bars 3rd 52 students 52 points under the grade 3 bar. 4th 46 students 29 points under the grade 3 bar. 5th 35 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 3rd 12 students 83 points under the grade 3 bar. 4th 14 students 39 points under the grade 3 bar. 5th 18 students 47 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	80,924	2361.5	− 2436	−74.5	× 95 / 404	−17.5
4	80,926	2425.3	− 2485	−59.7	× 64 / 404	−9.5
5	80,928	2437.5	− 2528	−90.5	× 67 / 404	−15
6	80,930	2465.2	− 2552	−86.8	× 56 / 404	−12
7	80,932	2503.4	− 2567	−63.6	× 61 / 404	−9.6
8	80,934	2468.3	− 2586	−117.7	× 61 / 404	−17.8
Sum, rounded to a whole point						−81

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,025	2394.5	− 2436	−41.5	× 82 / 422	−8.1
4	75,026	2407.5	− 2485	−77.5	× 93 / 422	−17.1
5	75,028	2437.8	− 2528	−90.2	× 64 / 422	−13.7
6	75,030	2461.5	− 2552	−90.5	× 66 / 422	−14.2
7	75,032	2486.8	− 2567	−80.2	× 60 / 422	−11.4
8	75,035	2484.1	− 2586	−101.9	× 57 / 422	−13.8
Sum, rounded to a whole point						−78

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,034	2375.7	− 2436	−60.3	× 87 / 439	−12
4	77,035	2417.7	− 2485	−67.3	× 73 / 439	−11.2
5	77,038	2412.6	− 2528	−115.4	× 88 / 439	−23.1
6	77,040	2454.7	− 2552	−97.3	× 65 / 439	−14.4
7	77,042	2451.9	− 2567	−115.1	× 65 / 439	−17
8	77,043	2484.1	− 2586	−101.9	× 61 / 439	−14.2
Sum, rounded to a whole point						−92

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,222	2365.0	− 2436	−71	× 82 / 445	−13.1
4	77,225	2413.3	− 2485	−71.7	× 92 / 445	−14.8
5	77,227	2432.0	− 2528	−96	× 64 / 445	−13.8
6	77,228	2436.3	− 2552	−115.7	× 84 / 445	−21.8
7	77,231	2468.8	− 2567	−98.2	× 62 / 445	−13.7
8	77,232	2452.5	− 2586	−133.5	× 61 / 445	−18.3
Sum, rounded to a whole point						−96

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,745	2350.8	− 2436	−85.2	× 93 / 440	−18
4	77,746	2403.7	− 2485	−81.3	× 70 / 440	−12.9
5	77,747	2415.0	− 2528	−113	× 82 / 440	−21.1
6	77,748	2446.2	− 2552	−105.8	× 59 / 440	−14.2
7	77,749	2430.6	− 2567	−136.4	× 75 / 440	−23.3
8	77,750	2485.8	− 2586	−100.2	× 61 / 440	−13.9
Sum, rounded to a whole point						−103

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,895	2353.1	− 2436	−82.9	× 88 / 381	−19.1
4	77,896	2377.9	− 2485	−107.1	× 64 / 381	−18
5	77,897	2400.3	− 2528	−127.7	× 60 / 381	−20.1
6	77,898	2421.9	− 2552	−130.1	× 55 / 381	−18.8
7	77,899	2441.1	− 2567	−125.9	× 50 / 381	−16.5
8	77,900	2444.4	− 2586	−141.6	× 64 / 381	−23.8
Sum, rounded to a whole point						−116

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,887	2365.5	− 2436	−70.5	× 71 / 373	−13.4
4	77,888	2408.5	− 2485	−76.5	× 78 / 373	−16
5	77,889	2402.3	− 2528	−125.7	× 58 / 373	−19.5
6	77,890	2394.0	− 2552	−158	× 58 / 373	−24.6
7	77,891	2440.0	− 2567	−127	× 55 / 373	−18.7
8	77,892	2450.5	− 2586	−135.5	× 53 / 373	−19.3
Sum, rounded to a whole point						−112

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,905	2367.7	− 2436	−68.3	× 55 / 346	−10.9
4	77,906	2404.2	− 2485	−80.8	× 58 / 346	−13.5
5	77,907	2397.6	− 2528	−130.4	× 67 / 346	−25.3
6	77,908	2417.7	− 2552	−134.3	× 59 / 346	−22.9
7	77,909	2441.4	− 2567	−125.6	× 53 / 346	−19.2
8	77,910	2449.6	− 2586	−136.4	× 54 / 346	−21.3
Sum, rounded to a whole point						−113

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,567	2375.8	− 2436	−60.2	× 64 / 343	−11.2
4	77,568	2398.9	− 2485	−86.1	× 51 / 343	−12.8
5	77,569	2432.7	− 2528	−95.3	× 51 / 343	−14.2
6	77,570	2421.3	− 2552	−130.7	× 66 / 343	−25.1
7	77,571	2447.5	− 2567	−119.5	× 55 / 343	−19.2
8	77,572	2437.9	− 2586	−148.1	× 56 / 343	−24.2
Sum, rounded to a whole point						−107

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,475	2378.4	− 2436	−57.6	× 64 / 342	−10.8
4	77,476	2404.6	− 2485	−80.4	× 60 / 342	−14.1
5	77,477	2433.0	− 2528	−95	× 53 / 342	−14.7
6	77,478	2455.1	− 2552	−96.9	× 54 / 342	−15.3
7	77,479	2443.6	− 2567	−123.4	× 60 / 342	−21.6
8	77,480	2447.5	− 2586	−138.5	× 51 / 342	−20.7
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. −81, −78, −92, −96, −103, −116, −112, −113, −107, −97 → −99.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 14 · 2017→2018: 4 · 2018→2019: 7 · 2019→2022: 13 · 2022→2023: 4 · 2023→2024: 1 · 2024→2025: 6 · 2025→2026: 10 → average 6.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.9 × 2.66 = 18.4. Upper limit −81.1, lower limit −117.9.

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.