Yokayo 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 5.

All students

3rd The average 3rd grader scores 33 points under the grade 3 bar. 2404 vs. 2436.
4th The average 4th grader scores 23 points under the grade 4 bar. 2462 vs. 2485.
5th The average 5th grader scores 39 points under the grade 5 bar. 2489 vs. 2528.

Students fluent in English

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

Grade bars 3rd 50 students 19 points under the grade 3 bar. 4th 54 students Just under the grade 4 bar. 5th 58 students 27 points under the grade 5 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 17 students 71 points under the grade 3 bar. 4th 17 students 31 points under the grade 3 bar. 5th 12 students Just under the grade 3 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	43,523	2384.7	− 2436	−51.3	× 71 / 259	−14.1
4	43,526	2429.8	− 2485	−55.2	× 65 / 259	−13.9
5	43,527	2453.8	− 2528	−74.2	× 69 / 259	−19.8
6	43,530	2484.6	− 2552	−67.4	× 54 / 259	−14.1
Sum, rounded to a whole point						−62

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,232	2391.9	− 2436	−44.1	× 67 / 263	−11.2
4	40,233	2439.0	− 2485	−46	× 74 / 263	−12.9
5	40,235	2458.3	− 2528	−69.7	× 66 / 263	−17.5
6	40,238	2494.2	− 2552	−57.8	× 56 / 263	−12.3
Sum, rounded to a whole point						−54

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,243	2387.3	− 2436	−48.7	× 67 / 269	−12.1
4	41,245	2429.0	− 2485	−56	× 71 / 269	−14.8
5	41,247	2442.0	− 2528	−86	× 78 / 269	−24.9
6	41,249	2453.4	− 2552	−98.6	× 53 / 269	−19.4
Sum, rounded to a whole point						−71

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,271	2390.8	− 2436	−45.2	× 69 / 240	−13
4	41,274	2430.8	− 2485	−54.2	× 68 / 240	−15.4
5	41,275	2447.1	− 2528	−80.9	× 62 / 240	−20.9
6	41,278	2427.2	− 2552	−124.8	× 41 / 240	−21.3
Sum, rounded to a whole point						−71

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,416	2413.1	− 2436	−22.9	× 66 / 265	−5.7
4	41,417	2422.1	− 2485	−62.9	× 72 / 265	−17.1
5	41,418	2452.7	− 2528	−75.3	× 71 / 265	−20.2
6	41,419	2444.7	− 2552	−107.3	× 56 / 265	−22.7
Sum, rounded to a whole point						−66

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,181	2367.0	− 2436	−69	× 58 / 222	−18
4	41,182	2435.6	− 2485	−49.4	× 73 / 222	−16.2
5	41,183	2464.4	− 2528	−63.6	× 63 / 222	−18
6	41,184	2495.6	− 2552	−56.4	× 28 / 222	−7.1
Sum, rounded to a whole point						−59

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,210	2414.2	− 2436	−21.8	× 64 / 239	−5.8
4	41,211	2448.8	− 2485	−36.2	× 69 / 239	−10.5
5	41,212	2477.4	− 2528	−50.6	× 76 / 239	−16.1
6	41,213	2469.8	− 2552	−82.2	× 30 / 239	−10.3
Sum, rounded to a whole point						−43

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,027	2429.6	− 2436	−6.4	× 66 / 223	−1.9
4	41,028	2458.0	− 2485	−27	× 66 / 223	−8
5	41,029	2484.1	− 2528	−43.9	× 63 / 223	−12.4
6	41,030	2469.3	− 2552	−82.7	× 28 / 223	−10.4
Sum, rounded to a whole point						−33

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,789	2430.2	− 2436	−5.8	× 65 / 203	−1.9
4	40,790	2470.7	− 2485	−14.3	× 70 / 203	−4.9
5	40,791	2475.9	− 2528	−52.1	× 68 / 203	−17.5
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	40,693	2403.5	− 2436	−32.5	× 67 / 208	−10.5
4	40,694	2461.7	− 2485	−23.3	× 71 / 208	−8
5	40,695	2489.3	− 2528	−38.7	× 70 / 208	−13
Sum, rounded to a whole point						−31

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −62, −54, −71, −71, −66, −59, −43, −33, −24, −31 → −51.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 17 · 2017→2018: 0 · 2018→2019: 5 · 2019→2022: 7 · 2022→2023: 16 · 2023→2024: 10 · 2024→2025: 9 · 2025→2026: 7 → average 8.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.8 × 2.66 = 23.4. Upper limit −28, lower limit −74.8.

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.