Kathryn Hughes 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 meets the grade 3 bar. 2464 vs. 2436.
4th The average 4th grader scores 13 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader scores 39 points under the grade 5 bar. 2489 vs. 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	89,280	2432.7	− 2436	−3.3	× 84 / 228	−1.2
4	89,282	2462.6	− 2485	−22.4	× 79 / 228	−7.8
5	89,284	2474.7	− 2528	−53.3	× 65 / 228	−15.2
Sum, rounded to a whole point						−24

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,815	2432.0	− 2436	−4	× 63 / 221	−1.1
4	82,817	2471.1	− 2485	−13.9	× 81 / 221	−5.1
5	82,819	2515.3	− 2528	−12.7	× 77 / 221	−4.4
Sum, rounded to a whole point						−11

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,126	2404.2	− 2436	−31.8	× 83 / 214	−12.3
4	85,128	2480.1	− 2485	−4.9	× 59 / 214	−1.4
5	85,130	2489.0	− 2528	−39	× 72 / 214	−13.1
Sum, rounded to a whole point						−27

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,343	2417.0	− 2436	−19	× 59 / 192	−5.8
4	85,346	2472.7	− 2485	−12.3	× 74 / 192	−4.7
5	85,347	2500.1	− 2528	−27.9	× 59 / 192	−8.6
Sum, rounded to a whole point						−19

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,939	2441.7	− 2436	5.7	× 67 / 197	1.9
4	85,940	2453.4	− 2485	−31.6	× 58 / 197	−9.3
5	85,941	2488.0	− 2528	−40	× 72 / 197	−14.6
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,150	2429.6	− 2436	−6.4	× 56 / 163	−2.2
4	86,151	2463.2	− 2485	−21.8	× 59 / 163	−7.9
5	86,152	2471.3	− 2528	−56.7	× 48 / 163	−16.7
Sum, rounded to a whole point						−27

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,072	2419.3	− 2436	−16.7	× 44 / 151	−4.9
4	86,073	2460.7	− 2485	−24.3	× 51 / 151	−8.2
5	86,074	2463.4	− 2528	−64.6	× 56 / 151	−24
Sum, rounded to a whole point						−37

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,058	2414.5	− 2436	−21.5	× 35 / 134	−5.6
4	86,059	2446.6	− 2485	−38.4	× 48 / 134	−13.8
5	86,060	2473.3	− 2528	−54.7	× 51 / 134	−20.8
Sum, rounded to a whole point						−40

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,746	2441.4	− 2436	5.4	× 43 / 121	1.9
4	85,747	2452.4	− 2485	−32.6	× 32 / 121	−8.6
5	85,748	2473.6	− 2528	−54.4	× 46 / 121	−20.7
Sum, rounded to a whole point						−27

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,503	2463.8	− 2436	27.8	× 37 / 103	10
4	85,504	2472.0	− 2485	−13	× 39 / 103	−4.9
5	85,505	2488.7	− 2528	−39.3	× 27 / 103	−10.3
Sum, rounded to a whole point						−5

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −24, −11, −27, −19, −22, −27, −37, −40, −27, −5 → −23.9
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: 16 · 2017→2018: 8 · 2018→2019: 3 · 2019→2022: 5 · 2022→2023: 10 · 2023→2024: 3 · 2024→2025: 13 · 2025→2026: 22 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit 3.5, lower limit −51.3.

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.