Richmond 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.

3rd The average 3rd grader scores 42 points under the grade 3 bar. 2394 vs. 2436.
4th The average 4th grader scores 32 points under the grade 4 bar. 2453 vs. 2485.
5th The average 5th grader scores just under the grade 3 bar. 2428 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 20 points under the grade 5 bar. 2508 vs. 2528. The 6th-grade bar is 2552.

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	18,322	2402.8	− 2436	−33.2	× 68 / 217	−10.4
4	18,324	2459.9	− 2485	−25.1	× 68 / 217	−7.9
5	18,325	2457.8	− 2528	−70.2	× 81 / 217	−26.2
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,337	2420.2	− 2436	−15.8	× 73 / 212	−5.4
4	17,340	2487.2	− 2485	2.2	× 71 / 212	0.7
5	17,342	2487.5	− 2528	−40.5	× 68 / 212	−13
Sum, rounded to a whole point						−18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,652	2442.7	− 2436	6.7	× 72 / 228	2.1
4	17,653	2465.0	− 2485	−20	× 80 / 228	−7
5	17,655	2487.0	− 2528	−41	× 76 / 228	−13.7
Sum, rounded to a whole point						−19

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,670	2439.4	− 2436	3.4	× 65 / 216	1
4	17,673	2501.6	− 2485	16.6	× 74 / 216	5.7
5	17,674	2463.9	− 2528	−64.1	× 77 / 216	−22.9
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,820	2452.0	− 2436	16	× 56 / 173	5.2
4	17,821	2497.3	− 2485	12.3	× 57 / 173	4.1
5	17,822	2508.5	− 2528	−19.5	× 60 / 173	−6.8
Sum, rounded to a whole point						2

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,416	2401.3	− 2436	−34.7	× 46 / 157	−10.2
4	17,417	2431.7	− 2485	−53.3	× 58 / 157	−19.7
5	17,418	2482.2	− 2528	−45.8	× 53 / 157	−15.5
Sum, rounded to a whole point						−45

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,876	2397.8	− 2436	−38.2	× 48 / 166	−11
4	17,877	2468.1	− 2485	−16.9	× 54 / 166	−5.5
5	17,878	2464.2	− 2528	−63.8	× 64 / 166	−24.6
Sum, rounded to a whole point						−41

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,828	2423.3	− 2436	−12.7	× 60 / 167	−4.6
4	17,829	2465.9	− 2485	−19.1	× 51 / 167	−5.8
5	17,830	2480.8	− 2528	−47.2	× 56 / 167	−15.8
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,780	2399.3	− 2436	−36.7	× 52 / 162	−11.8
4	17,781	2479.5	− 2485	−5.5	× 61 / 162	−2.1
5	17,782	2471.9	− 2528	−56.1	× 49 / 162	−17
Sum, rounded to a whole point						−31

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,776	2419.1	− 2436	−16.9	× 59 / 170	−5.9
4	17,777	2438.1	− 2485	−46.9	× 51 / 170	−14.1
5	17,778	2516.1	− 2528	−11.9	× 60 / 170	−4.2
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	17,816	2393.7	− 2436	−42.3	× 58 / 241	−10.2
4	17,817	2453.0	− 2485	−32	× 53 / 241	−7
5	17,818	2428.2	− 2528	−99.8	× 58 / 241	−24
6	17,819	2508.3	− 2552	−43.7	× 72 / 241	−13.1
Sum, rounded to a whole point						−54

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −44, −18, −19, −16, 2, −45, −41, −26, −31, −24, −54 → −28.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 26 · 2016→2017: 1 · 2017→2018: 3 · 2018→2019: 18 · 2019→2021: 47 · 2021→2022: 4 · 2022→2023: 15 · 2023→2024: 5 · 2024→2025: 7 · 2025→2026: 30 → average 15.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.6 × 2.66 = 41.5. Upper limit 12.8, lower limit −70.2.

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.