Gibson 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 18 points under the grade 3 bar. 2419 vs. 2436.
4th The average 4th grader scores 13 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader scores 23 points under the grade 4 bar. 2462 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 15 points under the grade 5 bar. 2513 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	10,686	2434.6	− 2436	−1.4	× 78 / 272	−0.4
4	10,688	2465.3	− 2485	−19.7	× 77 / 272	−5.6
5	10,690	2444.8	− 2528	−83.2	× 60 / 272	−18.4
6	10,692	2494.6	− 2552	−57.4	× 57 / 272	−12
Sum, rounded to a whole point						−36

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	9,705	2436.9	− 2436	0.9	× 68 / 272	0.2
4	9,706	2470.1	− 2485	−14.9	× 88 / 272	−4.8
5	9,708	2471.0	− 2528	−57	× 57 / 272	−11.9
6	9,711	2480.1	− 2552	−71.9	× 59 / 272	−15.6
Sum, rounded to a whole point						−32

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,033	2449.8	− 2436	13.8	× 65 / 233	3.8
4	10,034	2480.9	− 2485	−4.1	× 57 / 233	−1
5	10,036	2466.9	− 2528	−61.1	× 60 / 233	−15.7
6	10,039	2495.3	− 2552	−56.7	× 51 / 233	−12.4
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,051	2436.1	− 2436	0.1	× 58 / 231	0
4	10,052	2476.0	− 2485	−9	× 61 / 231	−2.4
5	10,055	2468.9	− 2528	−59.1	× 48 / 231	−12.3
6	10,056	2492.9	− 2552	−59.1	× 64 / 231	−16.4
Sum, rounded to a whole point						−31

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,131	2448.4	− 2436	12.4	× 74 / 222	4.1
4	10,132	2473.1	− 2485	−11.9	× 53 / 222	−2.8
5	10,133	2489.8	− 2528	−38.2	× 45 / 222	−7.7
6	10,134	2524.5	− 2552	−27.5	× 50 / 222	−6.2
Sum, rounded to a whole point						−13

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,124	2438.3	− 2436	2.3	× 57 / 214	0.6
4	10,125	2457.5	− 2485	−27.5	× 61 / 214	−7.8
5	10,126	2479.1	− 2528	−48.9	× 47 / 214	−10.7
6	10,127	2470.3	− 2552	−81.7	× 49 / 214	−18.7
Sum, rounded to a whole point						−37

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,112	2460.5	− 2436	24.5	× 62 / 199	7.6
4	10,113	2486.6	− 2485	1.6	× 49 / 199	0.4
5	10,114	2484.3	− 2528	−43.7	× 41 / 199	−9
6	10,115	2463.6	− 2552	−88.4	× 47 / 199	−20.9
Sum, rounded to a whole point						−22

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,078	2429.2	− 2436	−6.8	× 45 / 183	−1.7
4	10,079	2465.2	− 2485	−19.8	× 57 / 183	−6.2
5	10,080	2514.2	− 2528	−13.8	× 37 / 183	−2.8
6	10,081	2508.4	− 2552	−43.6	× 44 / 183	−10.5
Sum, rounded to a whole point						−21

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,055	2439.8	− 2436	3.8	× 62 / 193	1.2
4	10,056	2432.6	− 2485	−52.4	× 47 / 193	−12.8
5	10,057	2493.8	− 2528	−34.2	× 41 / 193	−7.3
6	10,058	2512.6	− 2552	−39.4	× 43 / 193	−8.8
Sum, rounded to a whole point						−28

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,087	2418.5	− 2436	−17.5	× 47 / 191	−4.3
4	10,088	2471.9	− 2485	−13.1	× 60 / 191	−4.1
5	10,089	2462.2	− 2528	−65.8	× 38 / 191	−13.1
6	10,090	2513.2	− 2552	−38.8	× 46 / 191	−9.3
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. −36, −32, −25, −31, −13, −37, −22, −21, −28, −31 → −27.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 7 · 2017→2018: 6 · 2018→2019: 18 · 2019→2022: 24 · 2022→2023: 15 · 2023→2024: 1 · 2024→2025: 7 · 2025→2026: 3 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit −2.6, lower limit −52.6.

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.