Richman 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.

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	49,403	2387.6	− 2436	−48.4	× 106 / 409	−12.5
4	49,404	2451.0	− 2485	−34	× 94 / 409	−7.8
5	49,407	2465.0	− 2528	−63	× 99 / 409	−15.2
6	49,408	2478.3	− 2552	−73.7	× 110 / 409	−19.8
Sum, rounded to a whole point						−55

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,922	2435.9	− 2436	−0.1	× 98 / 399	0
4	45,923	2440.0	− 2485	−45	× 105 / 399	−11.8
5	45,925	2499.9	− 2528	−28.1	× 95 / 399	−6.7
6	45,928	2503.4	− 2552	−48.6	× 101 / 399	−12.3
Sum, rounded to a whole point						−31

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,148	2429.8	− 2436	−6.2	× 95 / 385	−1.5
4	47,149	2461.3	− 2485	−23.7	× 99 / 385	−6.1
5	47,151	2467.1	− 2528	−60.9	× 95 / 385	−15
6	47,154	2495.7	− 2552	−56.3	× 96 / 385	−14
Sum, rounded to a whole point						−37

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,158	2426.0	− 2436	−10	× 112 / 400	−2.8
4	47,160	2476.0	− 2485	−9	× 96 / 400	−2.2
5	47,162	2508.2	− 2528	−19.8	× 99 / 400	−4.9
6	47,164	2529.1	− 2552	−22.9	× 93 / 400	−5.3
Sum, rounded to a whole point						−15

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,335	2413.7	− 2436	−22.3	× 102 / 391	−5.8
4	47,336	2467.5	− 2485	−17.5	× 103 / 391	−4.6
5	47,337	2494.0	− 2528	−34	× 90 / 391	−7.8
6	47,338	2531.0	− 2552	−21	× 96 / 391	−5.2
Sum, rounded to a whole point						−23

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,187	2400.7	− 2436	−35.3	× 70 / 298	−8.3
4	47,188	2478.6	− 2485	−6.4	× 65 / 298	−1.4
5	47,189	2494.0	− 2528	−34	× 72 / 298	−8.2
6	47,190	2492.2	− 2552	−59.8	× 91 / 298	−18.3
Sum, rounded to a whole point						−36

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,169	2427.0	− 2436	−9	× 51 / 268	−1.7
4	47,170	2448.9	− 2485	−36.1	× 72 / 268	−9.7
5	47,171	2497.7	− 2528	−30.3	× 71 / 268	−8
6	47,172	2527.2	− 2552	−24.8	× 74 / 268	−6.8
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	47,022	2392.1	− 2436	−43.9	× 70 / 265	−11.6
4	47,023	2451.1	− 2485	−33.9	× 57 / 265	−7.3
5	47,024	2506.5	− 2528	−21.5	× 71 / 265	−5.8
6	47,025	2533.6	− 2552	−18.4	× 67 / 265	−4.7
Sum, rounded to a whole point						−29

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,784	2410.8	− 2436	−25.2	× 64 / 258	−6.3
4	46,785	2446.8	− 2485	−38.2	× 64 / 258	−9.5
5	46,786	2508.1	− 2528	−19.9	× 58 / 258	−4.5
6	46,787	2517.5	− 2552	−34.5	× 72 / 258	−9.6
Sum, rounded to a whole point						−30

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −55, −31, −37, −15, −23, −36, −26, −29, −30 → −31.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 24 · 2016→2017: 6 · 2017→2018: 22 · 2018→2019: 8 · 2019→2022: 13 · 2022→2023: 10 · 2023→2024: 3 · 2024→2025: 1 → average 10.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.9 × 2.66 = 29. Upper limit −2.3, lower limit −60.3.

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.