Macy 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. 2437 vs. 2432.
4th The average 4th grader scores 22 points under the grade 4 bar. 2451 vs. 2473.
5th The average 5th grader meets the grade 5 bar. 2511 vs. 2502.
6th The average 6th grader scores 13 points under the grade 6 bar. 2518 vs. 2531.

2021 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	34,344	2464.7	− 2432	32.7	× 67 / 332	6.6
4	34,346	2472.2	− 2473	−0.8	× 82 / 332	−0.2
5	34,348	2514.7	− 2502	12.7	× 74 / 332	2.8
6	34,350	2548.6	− 2531	17.6	× 109 / 332	5.8
Sum, rounded to a whole point						15

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,120	2451.1	− 2432	19.1	× 73 / 300	4.6
4	32,121	2500.2	− 2473	27.2	× 67 / 300	6.1
5	32,124	2518.1	− 2502	16.1	× 86 / 300	4.6
6	32,125	2563.9	− 2531	32.9	× 74 / 300	8.1
Sum, rounded to a whole point						23

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,656	2469.5	− 2432	37.5	× 74 / 295	9.4
4	32,657	2468.2	− 2473	−4.8	× 75 / 295	−1.2
5	32,659	2542.9	− 2502	40.9	× 62 / 295	8.6
6	32,662	2529.4	− 2531	−1.6	× 84 / 295	−0.5
Sum, rounded to a whole point						16

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,674	2439.8	− 2432	7.8	× 79 / 300	2.1
4	32,676	2469.9	− 2473	−3.1	× 79 / 300	−0.8
5	32,677	2499.7	− 2502	−2.3	× 71 / 300	−0.5
6	32,680	2544.6	− 2531	13.6	× 71 / 300	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	32,849	2438.7	− 2432	6.7	× 82 / 309	1.8
4	32,850	2470.4	− 2473	−2.6	× 72 / 309	−0.6
5	32,851	2512.3	− 2502	10.3	× 76 / 309	2.5
6	32,852	2533.8	− 2531	2.8	× 79 / 309	0.7
Sum, rounded to a whole point						4

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,054	2436.8	− 2432	4.8	× 49 / 255	0.9
4	32,055	2450.7	− 2473	−22.3	× 64 / 255	−5.6
5	32,056	2510.6	− 2502	8.6	× 72 / 255	2.4
6	32,057	2518.2	− 2531	−12.8	× 70 / 255	−3.5
Sum, rounded to a whole point						−6

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 15, 23, 16, 4, 4, −6 → 9.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 7 · 2017→2018: 12 · 2018→2019: 0 · 2019→2021: 10 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit 29, lower limit −10.4.

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.