Madrone Elementary: english

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 English 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. 2434 vs. 2432.
4th The average 4th grader scores just under the grade 4 bar. 2472 vs. 2473.
5th The average 5th grader scores 11 points under the grade 5 bar. 2491 vs. 2502.
6th The average 6th grader scores just under the grade 6 bar. 2523 vs. 2531.

2026 results. The English test covers reading, writing, listening and research together. "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	94,972	2423.6	− 2432	−8.4	× 73 / 237	−2.6
4	94,975	2467.8	− 2473	−5.2	× 68 / 237	−1.5
5	94,977	2489.7	− 2502	−12.3	× 53 / 237	−2.8
6	94,979	2510.9	− 2531	−20.1	× 43 / 237	−3.6
Sum, rounded to a whole point						−10

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,195	2430.6	− 2432	−1.4	× 42 / 232	−0.3
4	88,197	2466.9	− 2473	−6.1	× 87 / 232	−2.3
5	88,200	2515.9	− 2502	13.9	× 47 / 232	2.8
6	88,201	2554.0	− 2531	23	× 56 / 232	5.6
Sum, rounded to a whole point						6

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,750	2407.9	− 2432	−24.1	× 47 / 213	−5.3
4	90,753	2462.7	− 2473	−10.3	× 47 / 213	−2.3
5	90,755	2512.0	− 2502	10	× 63 / 213	3
6	90,757	2552.3	− 2531	21.3	× 56 / 213	5.6
Sum, rounded to a whole point						1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,955	2429.2	− 2432	−2.8	× 52 / 218	−0.7
4	90,958	2486.2	− 2473	13.2	× 53 / 218	3.2
5	90,959	2492.8	− 2502	−9.2	× 46 / 218	−1.9
6	90,962	2561.2	− 2531	30.2	× 67 / 218	9.3
Sum, rounded to a whole point						10

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,595	2413.7	− 2432	−18.3	× 60 / 221	−5
4	91,596	2472.8	− 2473	−0.2	× 59 / 221	−0.1
5	91,597	2501.3	− 2502	−0.7	× 55 / 221	−0.2
6	91,598	2531.9	− 2531	0.9	× 47 / 221	0.2
Sum, rounded to a whole point						−5

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,841	2389.8	− 2432	−42.2	× 48 / 218	−9.3
4	91,842	2474.2	− 2473	1.2	× 47 / 218	0.3
5	91,843	2499.2	− 2502	−2.8	× 61 / 218	−0.8
6	91,844	2492.0	− 2531	−39	× 62 / 218	−11.1
Sum, rounded to a whole point						−21

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,741	2374.6	− 2432	−57.4	× 49 / 217	−13
4	91,742	2455.4	− 2473	−17.6	× 52 / 217	−4.2
5	91,743	2484.3	− 2502	−17.7	× 54 / 217	−4.4
6	91,744	2537.2	− 2531	6.2	× 62 / 217	1.8
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	91,680	2391.7	− 2432	−40.3	× 46 / 203	−9.1
4	91,681	2461.4	− 2473	−11.6	× 55 / 203	−3.1
5	91,682	2467.7	− 2502	−34.3	× 46 / 203	−7.8
6	91,683	2492.5	− 2531	−38.5	× 56 / 203	−10.6
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	91,380	2427.8	− 2432	−4.2	× 52 / 192	−1.1
4	91,381	2476.8	− 2473	3.8	× 42 / 192	0.8
5	91,382	2468.0	− 2502	−34	× 51 / 192	−9
6	91,383	2489.6	− 2531	−41.4	× 47 / 192	−10.1
Sum, rounded to a whole point						−19

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,033	2433.6	− 2432	1.6	× 48 / 187	0.4
4	91,034	2472.1	− 2473	−0.9	× 55 / 187	−0.3
5	91,035	2490.9	− 2502	−11.1	× 36 / 187	−2.1
6	91,036	2523.3	− 2531	−7.7	× 48 / 187	−2
Sum, rounded to a whole point						−4

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −10, 6, 1, 10, −5, −21, −20, −31, −19, −4 → −9.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 16 · 2016→2017: 5 · 2017→2018: 9 · 2018→2019: 15 · 2019→2022: 16 · 2022→2023: 1 · 2023→2024: 11 · 2024→2025: 12 · 2025→2026: 15 → average 11.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.1 × 2.66 = 29.5. Upper limit 20.2, lower limit −38.8.

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.