Golden Oak Montessori Of Hayward: 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.

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	1,342	2440.9	− 2432	8.9	× 31 / 154	1.8
4	1,343	2446.9	− 2473	−26.1	× 26 / 154	−4.4
5	1,346	2473.8	− 2502	−28.2	× 22 / 154	−4
6	1,347	2514.4	− 2531	−16.6	× 29 / 154	−3.1
7	1,350	2589.1	− 2552	37.1	× 26 / 154	6.3
8	1,351	2609.8	− 2567	42.8	× 20 / 154	5.6
Sum, rounded to a whole point						2

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,148	2397.9	− 2432	−34.1	× 25 / 150	−5.7
4	1,150	2484.9	− 2473	11.9	× 28 / 150	2.2
5	1,153	2477.8	− 2502	−24.2	× 25 / 150	−4
6	1,154	2503.0	− 2531	−28	× 22 / 150	−4.1
7	1,156	2576.4	− 2552	24.4	× 27 / 150	4.4
8	1,159	2600.0	− 2567	33	× 23 / 150	5.1
Sum, rounded to a whole point						−2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,176	2432.0	− 2432	0	× 33 / 172	0
4	1,178	2451.4	− 2473	−21.6	× 31 / 172	−3.9
5	1,180	2512.1	− 2502	10.1	× 30 / 172	1.8
6	1,182	2537.6	− 2531	6.6	× 29 / 172	1.1
7	1,185	2584.6	− 2552	32.6	× 25 / 172	4.7
8	1,186	2603.3	− 2567	36.3	× 24 / 172	5.1
Sum, rounded to a whole point						9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,202	2441.4	− 2432	9.4	× 34 / 182	1.8
4	1,204	2486.3	− 2473	13.3	× 33 / 182	2.4
5	1,206	2491.9	− 2502	−10.1	× 36 / 182	−2
6	1,208	2553.9	− 2531	22.9	× 27 / 182	3.4
7	1,210	2570.9	− 2552	18.9	× 30 / 182	3.1
8	1,212	2573.8	− 2567	6.8	× 22 / 182	0.8
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	1,218	2442.6	− 2432	10.6	× 38 / 185	2.2
4	1,219	2486.9	− 2473	13.9	× 35 / 185	2.6
5	1,220	2548.1	− 2502	46.1	× 32 / 185	8
6	1,221	2543.5	− 2531	12.5	× 31 / 185	2.1
7	1,222	2606.7	− 2552	54.7	× 22 / 185	6.5
8	1,223	2599.1	− 2567	32.1	× 27 / 185	4.7
Sum, rounded to a whole point						26

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 2, −2, 9, 10, 26 → 9
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: 11 · 2017→2018: 1 · 2018→2019: 16 → average 8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8 × 2.66 = 21.3. Upper limit 30.3, lower limit −12.3.

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".

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.