Yorkdale 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.

3rd The average 3rd grader scores 16 points under the grade 3 bar. 2420 vs. 2436.
4th The average 4th grader scores 37 points under the grade 4 bar. 2448 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2485 vs. 2485. The 5th-grade bar is 2528.

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	32,785	2452.0	− 2436	16	× 35 / 150	3.7
4	32,787	2414.7	− 2485	−70.3	× 45 / 150	−21.1
5	32,789	2457.2	− 2528	−70.8	× 36 / 150	−17
6	32,791	2518.3	− 2552	−33.7	× 34 / 150	−7.6
Sum, rounded to a whole point						−42

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	30,997	2499.4	− 2436	63.4	× 38 / 133	18.1
4	31,000	2449.2	− 2485	−35.8	× 30 / 133	−8.1
5	31,002	2465.0	− 2528	−63	× 38 / 133	−18
6	31,004	2461.3	− 2552	−90.7	× 27 / 133	−18.4
Sum, rounded to a whole point						−26

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,560	2463.0	− 2436	27	× 37 / 134	7.5
4	31,563	2484.3	− 2485	−0.7	× 34 / 134	−0.2
5	31,565	2432.5	− 2528	−95.5	× 34 / 134	−24.2
6	31,566	2476.8	− 2552	−75.2	× 29 / 134	−16.3
Sum, rounded to a whole point						−33

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,607	2410.3	− 2436	−25.7	× 36 / 98	−9.4
4	31,609	2503.9	− 2485	18.9	× 32 / 98	6.2
5	31,611	2499.6	− 2528	−28.4	× 30 / 98	−8.7
Sum, rounded to a whole point						−12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,785	2453.4	− 2436	17.4	× 39 / 107	6.3
4	31,786	2448.8	− 2485	−36.2	× 33 / 107	−11.2
5	31,787	2499.0	− 2528	−29	× 35 / 107	−9.5
Sum, rounded to a whole point						−14

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,812	2406.4	− 2436	−29.6	× 31 / 94	−9.8
4	31,813	2441.1	− 2485	−43.9	× 29 / 94	−13.5
5	31,814	2452.0	− 2528	−76	× 34 / 94	−27.5
Sum, rounded to a whole point						−51

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,869	2415.0	− 2436	−21	× 29 / 86	−7.1
4	31,870	2441.1	− 2485	−43.9	× 31 / 86	−15.8
5	31,871	2444.0	− 2528	−84	× 26 / 86	−25.4
Sum, rounded to a whole point						−48

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,735	2427.0	− 2436	−9	× 36 / 102	−3.2
4	31,736	2406.1	− 2485	−78.9	× 33 / 102	−25.5
5	31,737	2445.5	− 2528	−82.5	× 33 / 102	−26.7
Sum, rounded to a whole point						−55

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	31,594	2433.7	− 2436	−2.3	× 30 / 98	−0.7
4	31,595	2446.2	− 2485	−38.8	× 35 / 98	−13.9
5	31,596	2448.3	− 2528	−79.7	× 33 / 98	−26.8
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	31,582	2420.4	− 2436	−15.6	× 28 / 93	−4.7
4	31,583	2448.4	− 2485	−36.6	× 29 / 93	−11.4
5	31,584	2484.6	− 2528	−43.4	× 36 / 93	−16.8
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −42, −26, −33, −12, −14, −51, −48, −55, −41, −33 → −35.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 16 · 2016→2017: 7 · 2017→2018: 21 · 2018→2019: 2 · 2019→2022: 37 · 2022→2023: 3 · 2023→2024: 7 · 2024→2025: 14 · 2025→2026: 8 → average 12.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.8 × 2.66 = 34. Upper limit −1.5, lower limit −69.5.

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.