Malloch 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 meets the grade 3 bar. 2456 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2478 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2477 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 6 bar. 2550 vs. 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	10,796	2417.3	− 2436	−18.7	× 71 / 230	−5.8
4	10,799	2428.0	− 2485	−57	× 67 / 230	−16.6
5	10,800	2436.5	− 2528	−91.5	× 46 / 230	−18.3
6	10,803	2476.3	− 2552	−75.7	× 46 / 230	−15.1
Sum, rounded to a whole point						−56

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	9,815	2442.7	− 2436	6.7	× 74 / 243	2
4	9,817	2449.9	− 2485	−35.1	× 68 / 243	−9.8
5	9,819	2450.3	− 2528	−77.7	× 54 / 243	−17.3
6	9,820	2479.9	− 2552	−72.1	× 47 / 243	−13.9
Sum, rounded to a whole point						−39

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,142	2427.3	− 2436	−8.7	× 45 / 235	−1.7
4	10,144	2473.9	− 2485	−11.1	× 72 / 235	−3.4
5	10,147	2467.6	− 2528	−60.4	× 63 / 235	−16.2
6	10,148	2500.1	− 2552	−51.9	× 55 / 235	−12.1
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	10,161	2446.7	− 2436	10.7	× 70 / 231	3.2
4	10,162	2505.6	− 2485	20.6	× 47 / 231	4.2
5	10,165	2494.1	− 2528	−33.9	× 56 / 231	−8.2
6	10,166	2539.1	− 2552	−12.9	× 58 / 231	−3.2
Sum, rounded to a whole point						−4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,241	2459.0	− 2436	23	× 60 / 223	6.2
4	10,242	2500.8	− 2485	15.8	× 68 / 223	4.8
5	10,243	2529.6	− 2528	1.6	× 37 / 223	0.3
6	10,244	2522.2	− 2552	−29.8	× 58 / 223	−7.8
Sum, rounded to a whole point						4

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,234	2425.5	− 2436	−10.5	× 56 / 215	−2.7
4	10,235	2464.9	− 2485	−20.1	× 64 / 215	−6
5	10,236	2480.8	− 2528	−47.2	× 43 / 215	−9.4
6	10,237	2529.0	− 2552	−23	× 52 / 215	−5.6
Sum, rounded to a whole point						−24

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,222	2425.0	− 2436	−11	× 71 / 227	−3.4
4	10,223	2478.3	− 2485	−6.7	× 58 / 227	−1.7
5	10,224	2500.3	− 2528	−27.7	× 51 / 227	−6.2
6	10,225	2508.4	− 2552	−43.6	× 47 / 227	−9
Sum, rounded to a whole point						−20

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,188	2414.6	− 2436	−21.4	× 68 / 249	−5.8
4	10,189	2465.5	− 2485	−19.5	× 75 / 249	−5.9
5	10,190	2475.9	− 2528	−52.1	× 46 / 249	−9.6
6	10,191	2503.4	− 2552	−48.6	× 60 / 249	−11.7
Sum, rounded to a whole point						−33

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,165	2446.2	− 2436	10.2	× 60 / 245	2.5
4	10,166	2469.1	− 2485	−15.9	× 73 / 245	−4.7
5	10,167	2488.1	− 2528	−39.9	× 61 / 245	−9.9
6	10,168	2510.6	− 2552	−41.4	× 51 / 245	−8.6
Sum, rounded to a whole point						−21

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,197	2456.1	− 2436	20.1	× 68 / 234	5.8
4	10,198	2478.3	− 2485	−6.7	× 58 / 234	−1.7
5	10,199	2477.4	− 2528	−50.6	× 50 / 234	−10.8
6	10,200	2549.6	− 2552	−2.4	× 58 / 234	−0.6
Sum, rounded to a whole point						−7

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −56, −39, −33, −4, 4, −24, −20, −33, −21, −7 → −23.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 17 · 2016→2017: 6 · 2017→2018: 29 · 2018→2019: 8 · 2019→2022: 28 · 2022→2023: 4 · 2023→2024: 13 · 2024→2025: 12 · 2025→2026: 14 → average 14.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.6 × 2.66 = 38.8. Upper limit 15.5, lower limit −62.1.

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.