William Land 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.

All students

3rd The average 3rd grader meets the grade 3 bar. 2501 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2525 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2549 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2578 vs. 2552.

Students fluent in English

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

Grade bars 5th 37 students Meets 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 5th 12 students 20 points under the grade 4 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	61,813	2433.2	− 2436	−2.8	× 69 / 214	−0.9
4	61,814	2438.9	− 2485	−46.1	× 53 / 214	−11.4
5	61,817	2488.5	− 2528	−39.5	× 54 / 214	−10
6	61,818	2531.0	− 2552	−21	× 38 / 214	−3.7
Sum, rounded to a whole point						−26

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,373	2434.0	− 2436	−2	× 69 / 232	−0.6
4	57,375	2491.8	− 2485	6.8	× 70 / 232	2.1
5	57,377	2458.2	− 2528	−69.8	× 47 / 232	−14.1
6	57,379	2550.8	− 2552	−1.2	× 46 / 232	−0.2
Sum, rounded to a whole point						−13

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,049	2448.5	− 2436	12.5	× 75 / 228	4.1
4	59,051	2479.8	− 2485	−5.2	× 62 / 228	−1.4
5	59,053	2535.7	− 2528	7.7	× 57 / 228	1.9
6	59,055	2517.8	− 2552	−34.2	× 34 / 228	−5.1
Sum, rounded to a whole point						0

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,164	2470.5	− 2436	34.5	× 55 / 245	7.7
4	59,165	2483.9	− 2485	−1.1	× 73 / 245	−0.3
5	59,168	2495.3	− 2528	−32.7	× 62 / 245	−8.3
6	59,169	2557.0	− 2552	5	× 55 / 245	1.1
Sum, rounded to a whole point						0

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,419	2473.0	− 2436	37	× 62 / 246	9.3
4	59,420	2513.9	− 2485	28.9	× 54 / 246	6.3
5	59,421	2525.4	− 2528	−2.6	× 70 / 246	−0.7
6	59,422	2564.7	− 2552	12.7	× 60 / 246	3.1
Sum, rounded to a whole point						18

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,502	2443.5	− 2436	7.5	× 59 / 210	2.1
4	59,503	2500.9	− 2485	15.9	× 49 / 210	3.7
5	59,504	2541.4	− 2528	13.4	× 57 / 210	3.6
6	59,505	2571.3	− 2552	19.3	× 45 / 210	4.1
Sum, rounded to a whole point						14

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,460	2451.9	− 2436	15.9	× 43 / 204	3.4
4	59,461	2524.7	− 2485	39.7	× 55 / 204	10.7
5	59,462	2537.7	− 2528	9.7	× 50 / 204	2.4
6	59,463	2595.1	− 2552	43.1	× 56 / 204	11.8
Sum, rounded to a whole point						28

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,391	2478.3	− 2436	42.3	× 46 / 183	10.6
4	59,392	2527.3	− 2485	42.3	× 38 / 183	8.8
5	59,393	2553.4	− 2528	25.4	× 53 / 183	7.4
6	59,394	2568.4	− 2552	16.4	× 46 / 183	4.1
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	59,148	2497.2	− 2436	61.2	× 48 / 189	15.5
4	59,149	2521.6	− 2485	36.6	× 51 / 189	9.9
5	59,150	2550.5	− 2528	22.5	× 41 / 189	4.9
6	59,151	2594.1	− 2552	42.1	× 49 / 189	10.9
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	59,071	2500.6	− 2436	64.6	× 49 / 185	17.1
4	59,072	2524.7	− 2485	39.7	× 47 / 185	10.1
5	59,073	2548.6	− 2528	20.6	× 49 / 185	5.5
6	59,074	2578.0	− 2552	26	× 40 / 185	5.6
Sum, rounded to a whole point						38

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −26, −13, 0, 0, 18, 14, 28, 31, 41, 38 → 13.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 13 · 2017→2018: 0 · 2018→2019: 18 · 2019→2022: 4 · 2022→2023: 14 · 2023→2024: 3 · 2024→2025: 10 · 2025→2026: 3 → average 8.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.7 × 2.66 = 23.1. Upper limit 36.2, lower limit −10.

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.