Carver 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.

3rd The average 3rd grader meets the grade 3 bar. 2459 vs. 2436.
4th The average 4th grader scores 28 points under the grade 4 bar. 2457 vs. 2485.
5th The average 5th grader scores 43 points under the grade 5 bar. 2485 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2548 vs. 2552.
7th The average 7th grader scores 24 points under the grade 6 bar. 2528 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 8 bar. 2579 vs. 2586.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	39,128	2405.9	− 2436	−30.1	× 54 / 224	−7.3
4	39,130	2398.1	− 2485	−86.9	× 62 / 224	−24.1
5	39,132	2427.6	− 2528	−100.4	× 56 / 224	−25.1
6	39,134	2500.4	− 2552	−51.6	× 27 / 224	−6.2
7	39,136	2540.0	− 2567	−27	× 25 / 224	−3
Sum, rounded to a whole point						−66

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,315	2423.4	− 2436	−12.6	× 47 / 286	−2.1
4	36,317	2425.7	− 2485	−59.3	× 68 / 286	−14.1
5	36,318	2447.1	− 2528	−80.9	× 64 / 286	−18.1
6	36,321	2431.7	− 2552	−120.3	× 45 / 286	−18.9
7	36,322	2519.8	− 2567	−47.2	× 29 / 286	−4.8
8	36,324	2517.7	− 2586	−68.3	× 33 / 286	−7.9
Sum, rounded to a whole point						−66

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,076	2421.1	− 2436	−14.9	× 62 / 287	−3.2
4	37,078	2419.7	− 2485	−65.3	× 50 / 287	−11.4
5	37,081	2449.1	− 2528	−78.9	× 69 / 287	−19
6	37,083	2443.5	− 2552	−108.5	× 47 / 287	−17.8
7	37,084	2476.1	− 2567	−90.9	× 32 / 287	−10.1
8	37,087	2566.6	− 2586	−19.4	× 27 / 287	−1.8
Sum, rounded to a whole point						−63

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,048	2390.6	− 2436	−45.4	× 54 / 328	−7.5
4	37,050	2400.4	− 2485	−84.6	× 67 / 328	−17.3
5	37,052	2453.2	− 2528	−74.8	× 53 / 328	−12.1
6	37,054	2441.5	− 2552	−110.5	× 60 / 328	−20.2
7	37,056	2435.6	− 2567	−131.4	× 52 / 328	−20.8
8	37,058	2491.1	− 2586	−94.9	× 42 / 328	−12.2
Sum, rounded to a whole point						−90

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,254	2433.8	− 2436	−2.2	× 51 / 272	−0.4
4	37,255	2437.0	− 2485	−48	× 48 / 272	−8.5
5	37,256	2456.7	− 2528	−71.3	× 56 / 272	−14.7
6	37,257	2409.4	− 2552	−142.6	× 32 / 272	−16.8
7	37,258	2467.2	− 2567	−99.8	× 42 / 272	−15.4
8	37,259	2502.0	− 2586	−84	× 43 / 272	−13.3
Sum, rounded to a whole point						−69

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,173	2399.8	− 2436	−36.2	× 41 / 227	−6.5
4	37,174	2475.5	− 2485	−9.5	× 55 / 227	−2.3
5	37,175	2443.9	− 2528	−84.1	× 44 / 227	−16.3
6	37,176	2464.5	− 2552	−87.5	× 36 / 227	−13.9
7	37,177	2487.3	− 2567	−79.7	× 26 / 227	−9.1
8	37,178	2542.8	− 2586	−43.2	× 25 / 227	−4.8
Sum, rounded to a whole point						−53

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,206	2416.2	− 2436	−19.8	× 36 / 202	−3.5
4	37,207	2485.6	− 2485	0.6	× 37 / 202	0.1
5	37,208	2496.1	− 2528	−31.9	× 50 / 202	−7.9
6	37,209	2460.0	− 2552	−92	× 27 / 202	−12.3
7	37,210	2484.3	− 2567	−82.7	× 29 / 202	−11.9
8	37,211	2536.7	− 2586	−49.3	× 23 / 202	−5.6
Sum, rounded to a whole point						−41

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,056	2439.0	− 2436	3	× 38 / 203	0.6
4	37,057	2433.9	− 2485	−51.1	× 40 / 203	−10.1
5	37,058	2499.5	− 2528	−28.5	× 40 / 203	−5.6
6	37,059	2514.7	− 2552	−37.3	× 41 / 203	−7.5
7	37,060	2494.3	− 2567	−72.7	× 23 / 203	−8.2
8	37,061	2579.3	− 2586	−6.7	× 21 / 203	−0.7
Sum, rounded to a whole point						−32

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,893	2465.7	− 2436	29.7	× 26 / 183	4.2
4	36,894	2446.0	− 2485	−39	× 35 / 183	−7.5
5	36,895	2444.4	− 2528	−83.6	× 35 / 183	−16
6	36,896	2532.7	− 2552	−19.3	× 24 / 183	−2.5
7	36,897	2546.3	− 2567	−20.7	× 39 / 183	−4.4
8	36,898	2470.6	− 2586	−115.4	× 24 / 183	−15.1
Sum, rounded to a whole point						−41

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,885	2458.5	− 2436	22.5	× 35 / 166	4.7
4	36,886	2456.9	− 2485	−28.1	× 33 / 166	−5.6
5	36,887	2485.2	− 2528	−42.8	× 30 / 166	−7.7
6	36,888	2547.5	− 2552	−4.5	× 22 / 166	−0.6
7	36,889	2528.2	− 2567	−38.8	× 19 / 166	−4.4
8	36,890	2578.9	− 2586	−7.1	× 27 / 166	−1.2
Sum, rounded to a whole point						−15

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −66, −66, −63, −90, −69, −53, −41, −32, −41, −15 → −53.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 3 · 2017→2018: 27 · 2018→2019: 21 · 2019→2022: 16 · 2022→2023: 12 · 2023→2024: 9 · 2024→2025: 9 · 2025→2026: 26 → average 13.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.7 × 2.66 = 36.4. Upper limit −17.2, lower limit −90.

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.