Richmond Elementary: math

The shaded band is this district'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.

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	19,906	2428.1	− 2436	−7.9	× 20 / 152	−1
4	19,907	2485.1	− 2485	0.1	× 24 / 152	0
5	19,910	2496.9	− 2528	−31.1	× 25 / 152	−5.1
6	19,911	2528.7	− 2552	−23.3	× 27 / 152	−4.1
7	19,914	2559.4	− 2567	−7.6	× 25 / 152	−1.3
8	19,916	2591.8	− 2586	5.8	× 31 / 152	1.2
Sum, rounded to a whole point						−10

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,888	2419.3	− 2436	−16.7	× 24 / 151	−2.7
4	18,889	2483.7	− 2485	−1.3	× 21 / 151	−0.2
5	18,891	2511.1	− 2528	−16.9	× 26 / 151	−2.9
6	18,894	2538.3	− 2552	−13.7	× 23 / 151	−2.1
7	18,895	2545.8	− 2567	−21.2	× 31 / 151	−4.4
8	18,897	2594.5	− 2586	8.5	× 26 / 151	1.5
Sum, rounded to a whole point						−11

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,219	2428.0	− 2436	−8	× 24 / 151	−1.3
4	19,221	2471.1	− 2485	−13.9	× 25 / 151	−2.3
5	19,223	2486.8	− 2528	−41.2	× 24 / 151	−6.5
6	19,225	2569.8	− 2552	17.8	× 28 / 151	3.3
7	19,226	2528.8	− 2567	−38.2	× 24 / 151	−6.1
8	19,228	2582.3	− 2586	−3.7	× 26 / 151	−0.6
Sum, rounded to a whole point						−14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,220	2435.6	− 2436	−0.4	× 19 / 140	−0.1
4	19,223	2492.6	− 2485	7.6	× 21 / 140	1.1
5	19,224	2521.3	− 2528	−6.7	× 27 / 140	−1.3
6	19,227	2500.0	− 2552	−52	× 24 / 140	−8.9
7	19,228	2534.8	− 2567	−32.2	× 28 / 140	−6.4
8	19,231	2617.0	− 2586	31	× 21 / 140	4.7
Sum, rounded to a whole point						−11

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,368	2447.1	− 2436	11.1	× 23 / 150	1.7
4	19,369	2482.5	− 2485	−2.5	× 22 / 150	−0.4
5	19,370	2542.7	− 2528	14.7	× 25 / 150	2.5
6	19,371	2547.3	− 2552	−4.7	× 24 / 150	−0.8
7	19,372	2560.4	− 2567	−6.6	× 30 / 150	−1.3
8	19,373	2582.5	− 2586	−3.5	× 26 / 150	−0.6
Sum, rounded to a whole point						1

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,865	2431.6	− 2436	−4.4	× 17 / 129	−0.6
4	18,866	2466.7	− 2485	−18.3	× 25 / 129	−3.5
5	18,867	2538.6	− 2528	10.6	× 23 / 129	1.9
6	18,868	2570.1	− 2552	18.1	× 17 / 129	2.4
7	18,869	2598.2	− 2567	31.2	× 24 / 129	5.8
8	18,870	2592.3	− 2586	6.3	× 23 / 129	1.1
Sum, rounded to a whole point						7

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,399	2414.5	− 2436	−21.5	× 20 / 127	−3.4
4	19,400	2485.1	− 2485	0.1	× 15 / 127	0
5	19,401	2528.3	− 2528	0.3	× 28 / 127	0.1
6	19,402	2573.3	− 2552	21.3	× 23 / 127	3.9
7	19,403	2573.1	− 2567	6.1	× 18 / 127	0.9
8	19,404	2644.2	− 2586	58.2	× 23 / 127	10.5
Sum, rounded to a whole point						12

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,346	2412.7	− 2436	−23.3	× 21 / 122	−4
4	19,347	2463.3	− 2485	−21.7	× 22 / 122	−3.9
5	19,348	2533.5	− 2528	5.5	× 15 / 122	0.7
6	19,349	2534.9	− 2552	−17.1	× 26 / 122	−3.6
7	19,350	2539.9	− 2567	−27.1	× 21 / 122	−4.7
8	19,351	2559.4	− 2586	−26.6	× 17 / 122	−3.7
Sum, rounded to a whole point						−19

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,286	2420.7	− 2436	−15.3	× 21 / 122	−2.6
4	19,287	2418.2	− 2485	−66.8	× 20 / 122	−11
5	19,288	2474.5	− 2528	−53.5	× 22 / 122	−9.6
6	19,289	2506.6	− 2552	−45.4	× 15 / 122	−5.6
7	19,290	2545.9	− 2567	−21.1	× 24 / 122	−4.2
8	19,291	2602.3	− 2586	16.3	× 20 / 122	2.7
Sum, rounded to a whole point						−30

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,247	2459.4	− 2436	23.4	× 14 / 122	2.7
4	19,248	2452.5	− 2485	−32.5	× 20 / 122	−5.3
5	19,249	2493.5	− 2528	−34.5	× 21 / 122	−5.9
6	19,250	2511.3	− 2552	−40.7	× 24 / 122	−8
7	19,251	2527.5	− 2567	−39.5	× 17 / 122	−5.5
8	19,252	2602.9	− 2586	16.9	× 26 / 122	3.6
Sum, rounded to a whole point						−18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −10, −11, −14, −11, 1, 7, 12, −19, −30, −18 → −9.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 3 · 2017→2018: 3 · 2018→2019: 12 · 2019→2021: 6 · 2021→2022: 5 · 2022→2023: 31 · 2023→2024: 11 · 2024→2025: 12 → average 9.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.3 × 2.66 = 24.7. Upper limit 15.4, lower limit −34.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Richmond Elementary

Richmond Elementary