Hollister 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.

3rd The average 3rd grader scores 40 points under the grade 3 bar. 2396 vs. 2436.
4th The average 4th grader scores 11 points under the grade 4 bar. 2474 vs. 2485.
5th The average 5th grader scores 43 points under the grade 5 bar. 2486 vs. 2528.
6th The average 6th grader scores just under the grade 5 bar. 2527 vs. 2528. The 6th-grade bar is 2552.

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	84,879	2390.9	− 2436	−45.1	× 58 / 262	−10
4	84,882	2464.9	− 2485	−20.1	× 58 / 262	−4.4
5	84,884	2482.3	− 2528	−45.7	× 71 / 262	−12.4
6	84,885	2549.0	− 2552	−3	× 75 / 262	−0.9
Sum, rounded to a whole point						−28

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,699	2432.9	− 2436	−3.1	× 57 / 245	−0.7
4	78,701	2452.6	− 2485	−32.4	× 57 / 245	−7.5
5	78,703	2505.0	− 2528	−23	× 58 / 245	−5.4
6	78,705	2523.9	− 2552	−28.1	× 73 / 245	−8.4
Sum, rounded to a whole point						−22

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,854	2446.6	− 2436	10.6	× 61 / 232	2.8
4	80,855	2488.1	− 2485	3.1	× 56 / 232	0.7
5	80,857	2470.7	− 2528	−57.3	× 58 / 232	−14.3
6	80,860	2561.3	− 2552	9.3	× 57 / 232	2.3
Sum, rounded to a whole point						−9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,007	2465.0	− 2436	29	× 59 / 230	7.4
4	81,008	2489.1	− 2485	4.1	× 56 / 230	1
5	81,011	2488.1	− 2528	−39.9	× 59 / 230	−10.2
6	81,012	2533.2	− 2552	−18.8	× 56 / 230	−4.6
Sum, rounded to a whole point						−6

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,534	2453.0	− 2436	17	× 54 / 228	4
4	81,535	2506.6	− 2485	21.6	× 59 / 228	5.6
5	81,536	2500.7	− 2528	−27.3	× 58 / 228	−6.9
6	81,537	2540.4	− 2552	−11.6	× 57 / 228	−2.9
Sum, rounded to a whole point						0

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,755	2446.4	− 2436	10.4	× 53 / 205	2.7
4	81,756	2518.4	− 2485	33.4	× 42 / 205	6.8
5	81,757	2526.1	− 2528	−1.9	× 58 / 205	−0.5
6	81,758	2554.3	− 2552	2.3	× 52 / 205	0.6
Sum, rounded to a whole point						10

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,719	2449.2	− 2436	13.2	× 46 / 194	3.1
4	81,720	2488.0	− 2485	3	× 51 / 194	0.8
5	81,721	2541.1	− 2528	13.1	× 43 / 194	2.9
6	81,722	2556.1	− 2552	4.1	× 54 / 194	1.1
Sum, rounded to a whole point						8

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,731	2429.9	− 2436	−6.1	× 40 / 179	−1.4
4	81,732	2476.0	− 2485	−9	× 48 / 179	−2.4
5	81,733	2506.7	− 2528	−21.3	× 47 / 179	−5.6
6	81,734	2572.1	− 2552	20.1	× 44 / 179	4.9
Sum, rounded to a whole point						−4

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,399	2452.5	− 2436	16.5	× 41 / 174	3.9
4	81,400	2469.5	− 2485	−15.5	× 43 / 174	−3.8
5	81,401	2537.1	− 2528	9.1	× 45 / 174	2.4
6	81,402	2554.9	− 2552	2.9	× 45 / 174	0.8
Sum, rounded to a whole point						3

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,321	2396.3	− 2436	−39.7	× 50 / 185	−10.7
4	81,322	2474.0	− 2485	−11	× 42 / 185	−2.5
5	81,323	2485.5	− 2528	−42.5	× 48 / 185	−11
6	81,324	2526.5	− 2552	−25.5	× 45 / 185	−6.2
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. −28, −22, −9, −6, 0, 10, 8, −4, 3, −30 → −7.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 13 · 2017→2018: 3 · 2018→2019: 6 · 2019→2022: 10 · 2022→2023: 2 · 2023→2024: 12 · 2024→2025: 7 · 2025→2026: 33 → average 10.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.2 × 2.66 = 27.1. Upper limit 19.3, lower limit −34.9.

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.